Thermal Hall effects in quantum magnets

In the recent years, the thermal Hall transport has risen as an important diagnosis of the physical properties of the elementary excitations in various quantum materials, especially among the Mott insulating systems where the electronic transports are often featureless. Here we review the recent dev...

Full description

Saved in:
Bibliographic Details
Published inPhysics reports Vol. 1070; pp. 1 - 59
Main Authors Zhang, Xiao-Tian, Gao, Yong Hao, Chen, Gang
Format Journal Article
LanguageEnglish
Published Elsevier B.V 12.06.2024
Subjects
Online AccessGet full text

Cover

Loading…
Abstract In the recent years, the thermal Hall transport has risen as an important diagnosis of the physical properties of the elementary excitations in various quantum materials, especially among the Mott insulating systems where the electronic transports are often featureless. Here we review the recent development of thermal Hall effects in quantum magnets where all the relevant excitations are charge-neutral. In addition to summarizing the existing experiments, we pay a special attention to the underlying mechanisms of the thermal Hall effects in various magnetic systems, and clarify the connection between the microscopic physical variables and the emergent degrees of freedom in different quantum phases. The external magnetic field is shown to modify the intrinsic Berry curvature properties of various emergent and/or exotic quasiparticle excitations in distinct fashions for different quantum systems and quantum phases, contributing to the thermal Hall transports. These include, for example, the conventional ones like the magnons in ordered magnets, the triplons in dimerized magnets, the exotic and fractionalized quasiparticles such as the spinons and the magnetic monopoles in quantum spin liquids. We review their contribution and discuss their presence in the thermal Hall conductivity in different physical contexts. We expect this review to provide a useful guidance for the physical mechanism of the thermal Hall transports in quantum magnets.
AbstractList In the recent years, the thermal Hall transport has risen as an important diagnosis of the physical properties of the elementary excitations in various quantum materials, especially among the Mott insulating systems where the electronic transports are often featureless. Here we review the recent development of thermal Hall effects in quantum magnets where all the relevant excitations are charge-neutral. In addition to summarizing the existing experiments, we pay a special attention to the underlying mechanisms of the thermal Hall effects in various magnetic systems, and clarify the connection between the microscopic physical variables and the emergent degrees of freedom in different quantum phases. The external magnetic field is shown to modify the intrinsic Berry curvature properties of various emergent and/or exotic quasiparticle excitations in distinct fashions for different quantum systems and quantum phases, contributing to the thermal Hall transports. These include, for example, the conventional ones like the magnons in ordered magnets, the triplons in dimerized magnets, the exotic and fractionalized quasiparticles such as the spinons and the magnetic monopoles in quantum spin liquids. We review their contribution and discuss their presence in the thermal Hall conductivity in different physical contexts. We expect this review to provide a useful guidance for the physical mechanism of the thermal Hall transports in quantum magnets.
Author Zhang, Xiao-Tian
Chen, Gang
Gao, Yong Hao
Author_xml – sequence: 1
  givenname: Xiao-Tian
  surname: Zhang
  fullname: Zhang, Xiao-Tian
  organization: Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing, 100190, China
– sequence: 2
  givenname: Yong Hao
  surname: Gao
  fullname: Gao, Yong Hao
  organization: Department of Physics and HKU-UCAS Joint Institute for Theoretical and Computational Physics at Hong Kong, The University of Hong Kong, Hong Kong, China
– sequence: 3
  givenname: Gang
  surname: Chen
  fullname: Chen, Gang
  email: gangchen.physics@gmail.com
  organization: International Center for Quantum Materials, School of Physics, Peking University, Beijing, 100871, China
BookMark eNqFkMFKAzEURYNUsK1-gjA7VzO-TJLODC5Eilqh4KauQ5p5sSkzmZqkQv_elHblpqt3uXAunDchIzc4JOSeQkGBzh63xW5zCB53RQklL4AVAPyKjGldsXxWVjAiY2AV5FRU7IZMQtgCABWcjcnDaoO-V122UF2XoTGoY8isy372ysV9n_Xq22EMt-TaqC7g3flOydfb62q-yJef7x_zl2WuGTQxrygKKsQajSihVlDVpTFamKbVZd0oVqs1ppAKvm4VQ8O1YbxhokXBYSbYlDyddrUfQnIyUtuooh1c9Mp2koI8OsutPDvLo7MEJpNzosU_eudtr_zhIvd84jCp_Vr0MmiLTmNrfXqIbAd7YeEP-zd2SA
CitedBy_id crossref_primary_10_1103_PhysRevResearch_6_023328
crossref_primary_10_1016_j_aop_2024_169858
crossref_primary_10_1103_PhysRevB_109_174442
crossref_primary_10_1103_PhysRevLett_133_246604
crossref_primary_10_1088_0256_307X_41_11_117505
crossref_primary_10_1103_PhysRevResearch_6_023044
crossref_primary_10_1103_PhysRevResearch_6_L032050
crossref_primary_10_1088_0256_307X_41_11_117504
crossref_primary_10_1103_PhysRevX_15_011036
crossref_primary_10_1103_PhysRevB_109_174415
crossref_primary_10_1103_PhysRevB_110_L081404
crossref_primary_10_1103_PhysRevB_110_235109
crossref_primary_10_7498_aps_73_20240437
crossref_primary_10_1103_PhysRevB_111_L020412
crossref_primary_10_1088_1402_4896_ad4c16
crossref_primary_10_1088_0256_307X_41_12_127501
Cites_doi 10.1103/PhysRevB.39.11413
10.1103/PhysRevB.88.165138
10.1103/PhysRevB.89.134409
10.1103/PhysRevResearch.2.033283
10.1088/0034-4885/77/5/056501
10.1103/PhysRevB.73.155115
10.1103/PhysRevB.107.054429
10.1103/PhysRevB.105.115101
10.1103/PhysRevB.74.174423
10.1038/s41467-023-44448-9
10.1103/PhysRevLett.117.157203
10.1103/PhysRevLett.95.155901
10.1038/s41467-019-08459-9
10.1103/PhysRevB.104.144422
10.1103/PhysRevLett.102.096406
10.1103/PhysRevResearch.2.033260
10.1103/PhysRevB.81.144432
10.1103/PhysRevB.66.014422
10.1103/PhysRevLett.129.017202
10.1146/annurev-conmatphys-031115-011319
10.1103/PhysRevLett.117.157204
10.1103/PhysRevLett.95.036403
10.1103/PhysRevB.72.245106
10.1103/PhysRevB.105.L100402
10.1103/PhysRevB.98.060404
10.1103/PhysRevLett.122.057204
10.1103/PhysRevB.98.060405
10.1016/S0304-8853(03)00079-9
10.1038/s41535-022-00458-2
10.1103/PhysRevB.86.235129
10.1146/annurev-conmatphys-031218-013401
10.1038/nmat4604
10.1038/s41586-019-1375-0
10.1038/s41586-020-2716-8
10.1103/PhysRevB.93.144411
10.1103/PhysRevB.97.014408
10.1103/PhysRevResearch.2.043071
10.1103/PhysRevB.65.165113
10.1103/PhysRevLett.121.097203
10.1103/PhysRevLett.123.247204
10.1103/PhysRevB.98.094419
10.1016/j.scib.2019.06.025
10.1103/PhysRevB.41.9323
10.1126/science.1257340
10.1073/pnas.1807840116
10.1103/PhysRevLett.93.126403
10.1103/PhysRevB.97.045152
10.1103/PhysRevB.90.041112
10.1103/PhysRevLett.106.197202
10.1103/PhysRevB.87.064423
10.1146/annurev-conmatphys-033117-053934
10.1103/PhysRevLett.124.097203
10.1038/s41567-020-0827-7
10.1038/nphys1134
10.1103/PhysRevB.84.024406
10.1103/PhysRevB.75.144422
10.1103/PhysRevB.53.12769
10.1038/s42254-019-0038-2
10.1103/PhysRevB.93.134426
10.1103/PhysRevLett.124.186602
10.1103/PhysRevB.99.205119
10.1073/pnas.2215141119
10.1038/nmat1353
10.1103/PhysRevLett.127.247202
10.1103/PhysRevLett.123.237207
10.1038/nature25987
10.1103/PhysRevB.77.224413
10.1103/PhysRevLett.64.1166
10.1103/PhysRevLett.98.157204
10.1103/PhysRevB.78.094403
10.1103/PhysRevLett.98.057203
10.1038/s41467-019-09063-7
10.1103/PhysRevResearch.1.013014
10.1038/s41567-019-0669-3
10.1103/PhysRevResearch.2.043013
10.1126/science.1188200
10.1038/nmat4905
10.1103/PhysRevLett.115.097202
10.1103/PhysRevLett.102.017205
10.1016/0038-1098(80)91145-X
10.1103/PhysRevB.72.104404
10.1103/PhysRevB.99.205157
10.1038/s41586-018-0274-0
10.1103/PhysRevB.99.054409
10.1103/PhysRevB.101.195126
10.1103/PhysRevB.102.220404
10.1016/j.physrep.2021.11.003
10.1038/s41567-021-01243-x
10.1103/PhysRevLett.104.066403
10.1103/PhysRevB.72.045105
10.1103/PhysRevLett.67.911
10.1103/PhysRevB.87.174402
10.1103/PhysRevB.83.024413
10.1038/nphys3710
10.1103/PhysRevB.69.064404
10.1103/PhysRevLett.110.127205
10.1016/0550-3213(77)90086-4
10.1103/PhysRevLett.112.077204
10.1016/S0003-4916(02)00018-0
10.1103/PhysRev.58.1098
10.1103/PhysRevB.87.205130
10.1103/PhysRevB.99.224407
10.1103/PhysRevB.62.6496
10.1146/annurev-conmatphys-031620-104715
10.1103/Physics.4.77
10.1103/PhysRevB.107.L060404
10.1103/PhysRevB.97.081106
10.1073/pnas.1821406116
10.1103/PhysRevLett.107.236601
10.1103/PhysRevB.84.125125
10.1142/S0217979224500401
10.1103/PhysRevB.45.12377
10.1103/PhysRevB.95.094427
10.1103/PhysRevB.87.144101
10.1103/RevModPhys.82.1743
10.1209/0295-5075/117/37006
10.1021/acs.nanolett.2c00562
10.1103/PhysRevB.100.241111
10.1103/PhysRevB.66.144501
10.1103/PhysRevB.66.205104
10.1103/PhysRevB.85.184503
10.1126/science.235.4793.1196
10.1016/j.aop.2005.10.005
10.1146/annurev-conmatphys-020911-125138
10.7566/JPSJ.86.033704
10.1016/0378-4363(81)90838-X
10.1126/science.aah6015
10.1103/PhysRevB.99.241106
10.1103/PhysRevB.96.180409
10.1103/PhysRevB.86.104412
10.1126/science.aay5551
10.1103/PhysRevB.63.134521
10.1103/PhysRevB.97.241110
10.1103/PhysRevLett.82.3168
10.1103/PhysRevB.94.205107
10.1103/PhysRevB.87.064508
10.1103/PhysRevB.84.184406
10.1103/PhysRevB.95.195137
10.1103/PhysRevLett.120.117204
10.1103/PhysRevLett.118.107206
10.1103/PhysRev.135.A1505
10.1103/PhysRevB.99.224409
10.1103/PhysRevB.94.201114
10.1103/PhysRevB.92.155138
10.1103/PhysRevLett.95.177001
10.1103/PhysRevLett.128.117201
10.1103/PhysRevLett.78.2216
10.1038/nphys4264
10.1016/j.physe.2020.114037
10.1103/PhysRevB.89.054420
10.1103/PhysRevB.99.134438
10.1103/PhysRevB.95.155131
10.1103/PhysRevLett.118.187203
10.1103/PhysRevB.96.195127
10.1103/PhysRevB.95.094406
10.1103/PhysRevLett.114.147201
10.1103/PhysRevLett.117.217205
10.1103/PhysRevB.68.172407
10.1103/PhysRevD.19.3682
10.1103/PhysRevB.85.060402
10.1038/s41467-019-11727-3
10.7566/JPSJ.87.064702
10.1103/PhysRevLett.119.157203
10.1103/PhysRevB.85.134411
10.1103/PhysRevB.99.165126
10.1103/PhysRevB.98.054408
10.1103/PhysRevLett.111.197201
10.1103/PhysRevLett.118.267201
10.1103/PhysRevLett.115.147201
10.1103/PhysRevLett.122.187201
10.1038/s41586-020-2482-7
10.1103/PhysRevB.105.155104
10.1038/nphys942
10.1088/1742-6596/145/1/012039
10.1103/PhysRevLett.105.047201
10.1038/nphys4190
10.1103/PhysRevLett.91.107001
10.1002/pssb.2220440126
10.1103/PhysRevB.62.7850
10.1103/PhysRevB.99.134419
10.1103/PhysRevB.60.6584
10.1126/science.1163196
10.1103/PhysRevLett.122.177201
10.1103/PhysRevB.93.245134
10.1103/PhysRevB.102.214421
10.1038/s41467-017-01177-0
10.1146/annurev-conmatphys-031016-025458
10.1103/PhysRevB.54.9007
10.1038/s41467-021-27943-9
10.1038/ncomms7805
10.1103/PhysRevB.106.094425
10.1103/PhysRevLett.119.127204
10.1103/PhysRevLett.108.127203
10.1103/PhysRevB.105.024401
10.1103/PhysRevB.93.214431
10.1103/PhysRevLett.118.145902
10.1038/nature06433
10.1103/PhysRevB.99.085136
10.1103/PhysRevB.106.245139
10.1103/PhysRevLett.115.106603
10.1103/PhysRevB.70.214437
10.1126/science.1064761
10.1103/PhysRevResearch.2.013334
10.1103/PhysRevLett.121.147201
10.1103/PhysRevLett.121.046401
10.1103/PhysRevB.82.104434
10.1103/PhysRevLett.124.167601
10.1103/PhysRevResearch.4.043085
10.1103/PhysRevB.96.104401
10.1103/PhysRevLett.127.217202
10.1103/PhysRevLett.96.247201
10.1103/PhysRevLett.120.217205
10.1103/PhysRevLett.120.187201
10.1088/1367-2630/ac51a8
10.1103/PhysRevLett.123.167202
10.1103/PhysRevResearch.1.033141
10.1038/ncomms1875
10.1103/PhysRevLett.82.3701
10.1103/PhysRevLett.118.177201
10.1038/nphys893
10.1103/PhysRevB.68.195110
10.1103/PhysRevLett.110.127203
10.1103/PhysRevLett.98.117205
10.1103/PhysRevB.91.125413
10.1103/PhysRev.120.91
10.1103/PhysRevLett.127.087201
10.1021/ja01315a102
10.1103/PhysRevB.95.014422
10.1103/PhysRevResearch.2.013072
10.1103/PhysRevB.82.064412
10.1038/nphys4117
10.1103/PhysRevLett.93.096806
10.1103/PhysRevB.80.224409
10.1103/PhysRevLett.117.227201
10.1103/PhysRevB.81.064428
10.1103/PhysRevB.71.125102
10.1073/pnas.1524076113
10.7566/JPSJ.82.102001
10.1103/PhysRevB.99.054432
10.1103/PhysRevResearch.3.033156
10.1103/PhysRevB.103.L140404
10.1103/PhysRevB.98.060412
10.1103/PhysRev.102.1008
10.1038/nature11659
10.1038/nphys3809
10.1103/PhysRevB.87.024402
10.1103/PhysRevLett.87.167205
10.1103/PhysRevLett.86.292
10.1103/PhysRevLett.91.171601
10.1088/0034-4885/78/5/052502
10.1038/nature08680
10.21468/SciPostPhysCore.2.2.004
10.1126/science.1201080
10.1103/PhysRevB.86.224417
10.1103/PhysRevB.46.5621
10.1103/PhysRevLett.108.037202
10.1038/nphys1606
10.1103/PhysRevB.83.094411
10.1038/s41567-020-0965-y
10.1103/PhysRevB.64.214511
10.1038/s41586-018-0184-1
10.1103/PhysRevLett.112.167203
10.1126/science.1058161
10.1103/PhysRevLett.107.087204
10.1103/PhysRevResearch.5.033197
10.1103/PhysRevB.39.8988
10.1103/PhysRevB.55.15832
10.1038/s41567-024-02384-5
10.1103/PhysRevLett.103.227202
10.1103/PhysRevB.85.045104
10.1103/PhysRevB.87.174427
10.1103/PhysRevB.99.014427
10.1209/0295-5075/ac8612
10.1103/PhysRevLett.61.2015
10.1103/PhysRevB.82.174440
10.1103/PhysRevB.100.060405
10.1103/PhysRevB.78.085129
10.1103/PhysRevLett.83.3737
10.1103/PhysRevLett.93.267202
10.1103/PhysRevLett.126.147201
10.1103/PhysRevB.92.224430
10.1038/20619
10.1103/PhysRevB.99.094415
10.21468/SciPostPhys.7.1.006
10.1103/PhysRevB.73.134402
10.1126/science.1188260
10.1103/PhysRevLett.108.247205
10.1038/s41567-019-0577-6
10.1103/PhysRevB.92.235119
ContentType Journal Article
Copyright 2024 Elsevier B.V.
Copyright_xml – notice: 2024 Elsevier B.V.
DBID AAYXX
CITATION
DOI 10.1016/j.physrep.2024.03.004
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1873-6270
EndPage 59
ExternalDocumentID 10_1016_j_physrep_2024_03_004
S0370157324001194
GroupedDBID --K
--M
-DZ
-~X
.~1
0R~
0SF
123
1B1
1RT
1~.
1~5
4.4
457
4G.
7-5
71M
8P~
9JN
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAXUO
ABJNI
ABLJU
ABMAC
ABNEU
ACDAQ
ACFVG
ACGFS
ACNCT
ACRLP
ADBBV
ADEZE
AEBSH
AEKER
AFKWA
AFTJW
AGUBO
AGYEJ
AHHHB
AIEXJ
AIKHN
AITUG
AIVDX
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
AXJTR
BKOJK
BLXMC
CS3
EBS
EFJIC
EO8
EO9
EP2
EP3
F5P
FDB
FIRID
FNPLU
FYGXN
G-Q
GBLVA
IHE
J1W
KOM
M41
MO0
N9A
O-L
O9-
OAUVE
OGIMB
OZT
P-8
P-9
P2P
PC.
Q38
RIG
RNS
ROL
RPZ
SCC
SDF
SDG
SDP
SES
SEW
SHN
SPC
SPCBC
SPD
SSQ
SSZ
T5K
TN5
WH7
YNT
ZMT
~02
~G-
29O
5VS
6TJ
8WZ
A6W
AAQXK
AATTM
AAXKI
AAYJJ
AAYWO
AAYXX
ABFNM
ABWVN
ABXDB
ACKIV
ACNNM
ACRPL
ADIYS
ADMUD
ADNMO
ADVLN
ADXHL
AEIPS
AFFNX
AFJKZ
AGCQF
AGHFR
AGQPQ
AGRNS
AIIUN
ANKPU
APXCP
ASPBG
AVWKF
AZFZN
BBWZM
BNPGV
CITATION
EJD
FEDTE
FGOYB
G-2
HME
HMV
HVGLF
HZ~
LZ4
M38
MVM
NDZJH
R2-
SPG
SSH
WUQ
XJT
XOL
YYP
ZCG
ZY4
ID FETCH-LOGICAL-c309t-71e5155bef5208a0782ffc5f9dc289a38abe2895f94bda3ef4cf34935de540653
IEDL.DBID .~1
ISSN 0370-1573
IngestDate Thu Apr 24 23:11:37 EDT 2025
Tue Jul 01 00:44:42 EDT 2025
Sat Jun 01 15:42:48 EDT 2024
IsPeerReviewed true
IsScholarly true
Keywords Exciton
Thermal Hall effect
Berry curvature
Magnetic monopole
Kitaev materials
Topological phase transition
Valence bond solids
Quantum spin liquids
Cluster Mott insulators
Magnon
Triplon
Quantum spin ice
Spinon
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c309t-71e5155bef5208a0782ffc5f9dc289a38abe2895f94bda3ef4cf34935de540653
PageCount 59
ParticipantIDs crossref_citationtrail_10_1016_j_physrep_2024_03_004
crossref_primary_10_1016_j_physrep_2024_03_004
elsevier_sciencedirect_doi_10_1016_j_physrep_2024_03_004
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2024-06-12
PublicationDateYYYYMMDD 2024-06-12
PublicationDate_xml – month: 06
  year: 2024
  text: 2024-06-12
  day: 12
PublicationDecade 2020
PublicationTitle Physics reports
PublicationYear 2024
Publisher Elsevier B.V
Publisher_xml – name: Elsevier B.V
References Liu, Huang, Chen (b111) 2020; 2
Banerjee, Yan, Knolle, Bridges, Stone, Lumsden, Mandrus, Tennant, Moessner, Nagler (b255) 2017; 356
Cairns, Reid, Perry, Prabhakaran, Huxley (b93) 2020
Han, Helton, Chu, Nocera, Rodriguez-Rivera, Broholm, Lee (b172) 2012; 492
Tokiwa, Yamashita, Terazawa, Kimura, Kasahara, Onishi, Kato, Halim, Gegenwart, Shibauchi, Nakatsuji, Moon, Matsuda (b232) 2018; 87
Ryu, Moore, Ludwig (b11) 2012; 85
Savary, Balents (b5) 2016; 80
Starykh (b2) 2015; 78
Do, Park, Yoshitake, Nasu, Motome, Kwon, Adroja, Voneshen, Kim, Jang, Park, Choi, Ji (b270) 2017; 13
Leahy, Pocs, Siegfried, Graf, Do, Choi, Normand, Lee (b277) 2017; 118
Anisimov, Aust, Khaliullin, Daghofer (b115) 2019; 122
Gohlke, Verresen, Moessner, Pollmann (b275) 2017; 119
Davison, Fu, Georges, Gu, Jensen, Sachdev (b352) 2017; 95
Neumann, Mook, Henk, Mertig (b317) 2022; 128
Sibille, Lhotel, Pomjakushin, Baines, Fennell, Kenzelmann (b205) 2015; 115
Li, Fauqué, Zhu, Behnia (b337) 2020; 124
He, Xu, Chen, Law, Lee (b141) 2018; 121
Rantner, Wen (b148) 2002; 66
Seemann, Ködderitzsch, Wimmer, Ebert (b72) 2015; 92
Liu, Li, Chen, Wang (b96) 2020; 2
Che, Li, Wu, Li, Guang, Xia, Yue, Wang, Zhao, Li, Sun (b229) 2023; 107
Owerre (b52) 2017; 117
Doki, Akazawa, Lee, Han, Sugii, Shimozawa, Kawashima, Oda, Yoshida, Yamashita (b171) 2018; 121
Nasu, Knolle, Kovrizhin, Motome, Moessner (b254) 2016; 12
Li, Chen (b117) 2022; 139
Li, Yang, Zhou, Chen (b263) 2019; 99
Messio, Bieri, Lhuillier, Bernu (b179) 2017; 118
Sibille, Gauthier, Lhotel, Porée, Pomjakushin, Ewings, Perring, Ollivier, Wildes, Ritter, Hansen, Keen, Nilsen, Keller, Petit, Fennell (b235) 2020; 16
Matsumoto, Shindou, Murakami (b16) 2014; 89
Witczak-Krempa, Chen, Kim, Balents (b118) 2014; 5
Binotto, Pollini, Spinolo (b264) 1971; 44
Clark, Abanin, Sondhi (b306) 2011; 107
Wang, Senthil (b190) 2016; 6
Kao, Enjalran, Del Maestro, Molavian, Gingras (b203) 2003; 68
Moriya (b34) 1960; 120
Zhang, Ren, Wang, Li (b24) 2013; 87
.
Ataei, Grissonnanche, Boulanger, Chen, Lefrancois, Brouet, Taillefer (b342) 2024
Takeda, Kawano, Tamura, Akazawa, Yan, Waki, Nakamura, Sato, Narumi, Hagiwara, Yamashita, Hotta (b62) 2023
Janson, Richter, Sindzingre, Rosner (b185) 2010; 82
Hermele, Senthil, Fisher (b142) 2005; 72
Bergman, Fiete, Balents (b242) 2006; 73
Herbut, Seradjeh, Sachdev, Murthy (b152) 2003; 68
Hentrich, Roslova, Isaeva, Doert, Brenig, Büchner, Hess (b297) 2019; 99
Ideue, Onose, Katsura, Shiomi, Ishiwata, Nagaosa, Tokura (b28) 2012; 85
Nasu, Yoshitake, Motome (b288) 2017; 119
Rau, Lee, Kee (b267) 2014; 112
Laurell, Fiete (b54) 2018; 98
Cookmeyer, Moore (b291) 2018; 98
Matsumoto, Murakami (b15) 2011; 84
Song, Wang, Vishwanath, He (b169) 2019; 10
Han, Park, Lee (b326) 2019; 99
Liu, Khaliullin (b261) 2018; 97
Hirschberger, Czajka, Koohpayeh, Wang, Ong (b230) 2019
Zhang, Chern, Kim (b46) 2021; 103
Li, Wang, Chen (b217) 2016; 94
Hentrich, Wolter, Zotos, Brenig, Nowak, Isaeva, Doert, Banerjee, Lampen-Kelley, Mandrus, Nagler, Sears, Kim, Büchner, Hess (b278) 2018; 120
Lu, Li, Wu (b316) 2021; 127
Yao, Li, Chen (b207) 2020; 2
Yamashita, Gouchi, Uwatoko, Kurita, Tanaka (b294) 2020; 102
Haldane (b322) 1988; 61
Wen (b147) 2002; 65
Watanabe, Sugii, Shimozawa, Suzuki, Yajima, Ishikawa, Hiroi, Shibauchi, Matsuda, Yamashita (b170) 2016; 113
Mezzacapo, Boninsegni (b309) 2012; 85
Czajka, Gao, Hirschberger, Lampen-Kelley, Banerjee, Yan, Mandrus, Nagler, Ong (b279) 2021; 17
Pollini (b265) 1996; 53
Anderson (b3) 1987; 235
Zhu, Huse, White (b308) 2013; 110
Alahmed, Zhang, Wen, Xiong, Li, chuan Zhang, Lux, Freimuth, Mahdi, Mokrousov, Novosad, Kwok, Yu, Zhang, Lee, Li (b38) 2022; 22
Owerre (b37) 2016; 28
Lu, Guo, Koval, Jia (b53) 2019; 99
Akazawa, Lee, Takeda, Fujima, Tokunaga, h. Arima, Han, Yamashita (b49) 2022; 4
Sugii, Shimozawa, Watanabe, Suzuki, Halim, Kimata, Matsumoto, Nakatsuji, Yamashita (b287) 2017; 118
Chisnell, Helton, Freedman, Singh, Bewley, Nocera, Lee (b27) 2015; 115
Hirokane, Nii, Tomioka, Onose (b336) 2019; 99
Ma, Fiete (b351) 2022; 105
Gao, Hickey, Xiang, Trebst, Chen (b244) 2019; 1
Abd-Elmeguid, Ni, Khomskii, Pocha, Johrendt, Wang, Syassen (b101) 2004; 93
Wen, Wilczek, Zee (b123) 1989; 39
Jackeli, Khaliullin (b250) 2009; 102
Hirschberger, Krizan, Cava, Ong (b25) 2015; 348
Wang, Vishwanath, Kim (b56) 2007; 76
Fradkin, Shenker (b144) 1979; 19
Xu, Anand, Bera, Frontzek, Abernathy, Casati, Siemensmeyer, Lake (b214) 2015; 92
Pawlak, Duczmal, Pokrzywnicki, Czopnik (b219) 1980; 34
Ballou, Canals, Elhajal, Lacroix, Wills (b63) 2003; 262
Fujiwara, Kitamura, Morimoto (b319) 2022
Chen (b234) 2017; 96
Singh (b188) 2011; 4
Kasahara, Sugii, Ohnishi, Shimozawa, Yamashita, Kurita, Tanaka, Nasu, Motome, Shibauchi, Matsuda (b248) 2018; 120
Messio, Cépas, Lhuillier (b177) 2010; 81
Mangeolle, Balents, Savary (b7) 2022; 106
Yoshida, ichi Yamaura, Isobe, Okamoto, Nilsen, Hiroi (b173) 2012; 3
Yao, Luo, Chen (b321) 2022; 105
Zhu, shu Gong, Sheng (b67) 2019; 116
Zayed, Rüegg, J.L.J., Läuchli, Panagopoulos, Saxena, Ellerby, McMorrow, Strässle, Klotz, Hamel, Sadykov, Pomjakushin, Boehm, Jiménez–Ruiz, Schneidewind, Pomjakushina, Stingaciu, Conder, Rønnow (b80) 2017; 13
Ganesh, van den Brink, Nishimoto (b313) 2013; 110
Smith, Benton, Yahne, Placke, Schäfer, Gaudet, Dudemaine, Fitterman, Beare, Wildes, Bhattacharya, DeLazzer, Buhariwalla, Butch, Movshovich, Garrett, Marjerrison, Clancy, Kermarrec, Luke, Bianchi, Ross, Gaulin (b208) 2022; 12
Ferrari, Becca (b168) 2019; 9
Xu, Benton, Islam, Guidi, Ehlers, Lake (b212) 2020; 124
Trebst, Hickey (b134) 2022; 950
Molavian, Gingras, Canals (b191) 2007; 98
Zhitomirsky, Ueda (b78) 1996; 54
Xu, Carnahan, Zhang, Sretenovic, Zhang, Xiao, Ke (b341) 2023; 107
Shindou, Matsumoto, Murakami, i. Ohe (b32) 2013; 87
Lee, Nagaosa (b129) 1992; 46
Wen, Wilczek, Zee (b128) 1989; 39
Matan, Grohol, Nocera, Yildirim, Harris, Lee, Nagler, Lee (b70) 2006; 96
Grohol, Matan, Cho, Lee, Lynn, Nocera, Lee (b64) 2005; 4
Rau, Lee, Kee (b256) 2016; 7
Cookmeyer, Motruk, Moore (b166) 2021; 127
Elhajal, Canals, Lacroix (b69) 2002; 66
Motrunich, Senthil (b243) 2005; 71
Chen (b245) 2023
Gong, Zheng, Lee, Lu, Sheng (b304) 2019; 100
Samajdar, Scheurer, Chatterjee, Guo, Xu, Sachdev (b325) 2019; 15
Senthil, Fisher (b246) 2001; 86
Chen, Schnyder, Balents (b103) 2009; 80
Li, Chen (b106) 2018; 98
Yamashita, Nakata, Senshu, Nagata, Yamamoto, Kato, Shibauchi, Matsuda (b158) 2010; 328
Gaulin, Lee, Haravifard, Castellan, Berlinsky, Dabkowska, Qiu, Copley (b86) 2004; 93
Ye, Kang, Liu, von Cube, Wicker, Suzuki, Jozwiak, Bostwick, Rotenberg, Bell, Fu, Comin, Checkelsky (b39) 2018; 555
Widmann, Tsurkan, Prishchenko, Mazurenko, Tsirlin, Loidl (b271) 2019; 99
Chen (b237) 2023
Giamarchi, Rüegg, Tchernyshyov (b77) 2008; 4
Lee (b126) 2008; 78
Sodemann, Chowdhury, Senthil (b280) 2018; 97
Ma, Wang, Chen (b350) 2023
Hermele, Senthil, Fisher, Lee, Nagaosa, Wen (b125) 2004; 70
Gingras, McClarty (b133) 2014; 77
Huang, Chen, Hermele (b195) 2014; 112
Machida, Nakatsuji, Maeno, Tayama, Sakakibara, Onoda (b58) 2007; 98
Pauling (b224) 1935; 57
Banerjee, Heiblum, Umansky, Feldman, Oreg, Stern (b9) 2018; 559
Malki, Schmidt (b90) 2017; 95
Li, Yao, Liu, Chen (b160) 2022; 129
Iqbal, Hu, Thomale, Poilblanc, Becca (b167) 2016; 93
Guo, Samajdar, Scheurer, Sachdev (b187) 2020; 101
Grissonnanche, Legros, Badoux, Lefrançois, Zatko, Lizaire, Laliberté, Gourgout, Zhou, Pyon, Takayama, Takagi, Ono, Doiron-Leyraud, Taillefer (b327) 2019; 571
Burnell, Nayak (b247) 2011; 84
Ye, Halász, Savary, Balents (b290) 2018; 121
Chern, Zhang, Kim (b45) 2021; 126
Marston (b149) 1990; 64
Lee, Han, Lee (b42) 2015; 91
Grohol, Matan, Cho, Lee, Lynn, Nocera, Lee (b60) 2005; 4
Laurell, Fiete (b55) 2017; 118
Hickey, Trebst (b282) 2019; 10
Li, Chen (b108) 2019; 100
Fradkin (b241) 2013
Huang, Zhu, Gong, Jiang, Sheng (b324) 2022; 105
Stone (b10) 2012; 85
Ross, Savary, Gaulin, Balents (b196) 2011; 1
c. v. Chaloupka, Jackeli, Khaliullin (b298) 2010; 105
Kim (b153) 2005; 72
Shimizu, Miyagawa, Kanoda, Maesato, Saito (b154) 2003; 91
Itou, Oyamada, Maegawa, Tamura, Kato (b159) 2009; 145
Pesin, Balents (b189) 2010; 6
Cheng, Cépas, Leung, Ziman (b88) 2007; 75
Sano, Kato, Motome (b262) 2018; 97
Chen (b97) 2017; 96
Winter, Tsirlin, Daghofer, van den Brink, Singh, Gegenwart, Valentí (b268) 2017; 29
Kim, Saito, Yang, Ishizuka, Coak, Lee, Sim, Oh, Nagaosa, Park (b339) 2024; 15
Yoshida, Noguchi, Matsushita, Ishii, Ihara, Oda, Okabe, Yamashita, Nakazawa, Takata, Kida, Narumi, Hagiwara (b174) 2017; 86
Chen (b200) 2016; 94
Jang, Sano, Kato, Motome (b260) 2019; 99
Yang, Zhang, Zhang (b18) 2020; 124
Shindou, i. Ohe, Matsumoto, Murakami, Saitoh (b31) 2013; 87
Taguchi, Oohara, Yoshizawa, Nagaosa, Tokura (b57) 2001; 291
Chen, Chung, Gao, Chen, Stone, Kolesnikov, Huang, Dai (b334) 2018; 8
Bhardwaj, Zhang, Yan, Moessner, Nevidomskyy, Changlani (b236) 2022; 7
Yan, Huse, White (b66) 2011; 332
Liu, Li, Chen (b110) 2019; 99
Lyu, Witczak-Krempa (b331) 2023
Chen, Hermele, Radzihovsky (b95) 2012; 109
Kane, Fisher (b8) 1997; 55
Gromov, Cho, You, Abanov, Fradkin (b12) 2015; 114
Guo (b344) 2023; 5
Chen, Pereira, Balents (b114) 2010; 82
Sachdev (b127) 1992; 45
Chen, Lee (b100) 2018; 97
Spivak, Kravchenko, Kivelson, Gao (b6) 2010; 82
Savary, Balents (b193) 2012; 108
Gao, Rosales, Albarracín, Tsurkan, Kaur, Fennell, Steffens, Boehm, Čermák, Schneidewind, Ressouche, Cabra, Rüegg, Zaharko (b61) 2020; 586
Chen, Kivelson, Sun (b348) 2020; 124
Lee, Onoda, Balents (b194) 2012; 86
Gao, Chen, Yan, Duan, Huang, Yao, Ye, Balz, Stewart, Nakajima, Ohira-Kawamura, Xu, Xu, Cheong, Morosan, Nevidomskyy, Chen, Dai (b210) 2022; 106
Jiang, Wang, Huang, Lu (b284) 2018
Chen, Villadiego (b120) 2023; 107
Murthy (b150) 1991; 67
Zhuo, Li, Manchon (b333) 2022; 24
Yoshitake, Nasu, Motome (b272) 2016; 117
Hermele, Ran, Lee, Wen (b143) 2008; 77
Balz, Lampen-Kelley, Banerjee, Yan, Lu, Hu, Yadav, Takano, Liu, Tennant, Lumsden, Mandrus, Nagler (b274) 2019; 100
Mangeolle, Balents, Savary (b329) 2022; 12
Zhang, Xu, Carnahan, Sretenovic, Suri, Xiao, Ke (b340) 2021; 127
Hermele, Fisher, Balents (b132) 2004; 69
Sandilands, Tian, Plumb, Kim, Burch (b253) 2015; 114
Gaudet, Smith, Dudemaine, Beare, Buhariwalla, Butch, Stone, Kolesnikov, Xu, Yahne, Ross, Marjerrison, Garr
Bramwell (10.1016/j.physrep.2024.03.004_b225) 2001; 294
Kageyama (10.1016/j.physrep.2024.03.004_b82) 1999; 82
Chen (10.1016/j.physrep.2024.03.004_b237) 2023
Nasu (10.1016/j.physrep.2024.03.004_b254) 2016; 12
Do (10.1016/j.physrep.2024.03.004_b270) 2017; 13
Tokiwa (10.1016/j.physrep.2024.03.004_b232) 2018; 87
Matsumoto (10.1016/j.physrep.2024.03.004_b14) 2011; 106
Romhányi (10.1016/j.physrep.2024.03.004_b89) 2011; 83
Kitaev (10.1016/j.physrep.2024.03.004_b145) 2003; 303
Yin (10.1016/j.physrep.2024.03.004_b40) 2020; 583
Burnell (10.1016/j.physrep.2024.03.004_b247) 2011; 84
Cairns (10.1016/j.physrep.2024.03.004_b93) 2020
Ferrari (10.1016/j.physrep.2024.03.004_b168) 2019; 9
Ryu (10.1016/j.physrep.2024.03.004_b11) 2012; 85
Castelnovo (10.1016/j.physrep.2024.03.004_b223) 2008; 451
Takahashi (10.1016/j.physrep.2024.03.004_b346) 2016; 117
Kitaev (10.1016/j.physrep.2024.03.004_b4) 2006; 321
Ye (10.1016/j.physrep.2024.03.004_b39) 2018; 555
Sugii (10.1016/j.physrep.2024.03.004_b335) 2017; 118
Boulanger (10.1016/j.physrep.2024.03.004_b328) 2022; 105
Li (10.1016/j.physrep.2024.03.004_b108) 2019; 100
Chen (10.1016/j.physrep.2024.03.004_b99) 2014; 113
Davison (10.1016/j.physrep.2024.03.004_b352) 2017; 95
Khaliullin (10.1016/j.physrep.2024.03.004_b104) 2013; 111
Lee (10.1016/j.physrep.2024.03.004_b136) 2005; 95
Rau (10.1016/j.physrep.2024.03.004_b267) 2014; 112
Haldane (10.1016/j.physrep.2024.03.004_b322) 1988; 61
Li (10.1016/j.physrep.2024.03.004_b106) 2018; 98
Pawlak (10.1016/j.physrep.2024.03.004_b219) 1980; 34
Balz (10.1016/j.physrep.2024.03.004_b274) 2019; 100
Wang (10.1016/j.physrep.2024.03.004_b176) 2006; 74
Pauling (10.1016/j.physrep.2024.03.004_b224) 1935; 57
Seemann (10.1016/j.physrep.2024.03.004_b72) 2015; 92
Zhang (10.1016/j.physrep.2024.03.004_b46) 2021; 103
Kim (10.1016/j.physrep.2024.03.004_b315) 2016; 117
Chen (10.1016/j.physrep.2024.03.004_b100) 2018; 97
Han (10.1016/j.physrep.2024.03.004_b326) 2019; 99
Gao (10.1016/j.physrep.2024.03.004_b206) 2019; 15
Bergman (10.1016/j.physrep.2024.03.004_b242) 2006; 73
Shimizu (10.1016/j.physrep.2024.03.004_b154) 2003; 91
Mangeolle (10.1016/j.physrep.2024.03.004_b7) 2022; 106
Holstein (10.1016/j.physrep.2024.03.004_b19) 1940; 58
Iqbal (10.1016/j.physrep.2024.03.004_b167) 2016; 93
Chen (10.1016/j.physrep.2024.03.004_b245) 2023
Li (10.1016/j.physrep.2024.03.004_b73) 2021; 3
Mangeolle (10.1016/j.physrep.2024.03.004_b329) 2022; 12
Zayed (10.1016/j.physrep.2024.03.004_b80) 2017; 13
Nasu (10.1016/j.physrep.2024.03.004_b288) 2017; 119
Fradkin (10.1016/j.physrep.2024.03.004_b241) 2013
Jiang (10.1016/j.physrep.2024.03.004_b68) 2019; 7
Zhu (10.1016/j.physrep.2024.03.004_b300) 2018; 97
Yokoi (10.1016/j.physrep.2024.03.004_b295) 2021; 373
Lacroix (10.1016/j.physrep.2024.03.004_b1) 2011
Laurell (10.1016/j.physrep.2024.03.004_b54) 2018; 98
Sachdev (10.1016/j.physrep.2024.03.004_b127) 1992; 45
Hickey (10.1016/j.physrep.2024.03.004_b282) 2019; 10
Chen (10.1016/j.physrep.2024.03.004_b103) 2009; 80
10.1016/j.physrep.2024.03.004_b112
Vinkler-Aviv (10.1016/j.physrep.2024.03.004_b289) 2018; 8
Chen (10.1016/j.physrep.2024.03.004_b211) 2022
Porée (10.1016/j.physrep.2024.03.004_b238) 2023
Murthy (10.1016/j.physrep.2024.03.004_b150) 1991; 67
Onoda (10.1016/j.physrep.2024.03.004_b192) 2010; 105
Yan (10.1016/j.physrep.2024.03.004_b21) 2017; 8
Machida (10.1016/j.physrep.2024.03.004_b59) 2009; 463
Giamarchi (10.1016/j.physrep.2024.03.004_b77) 2008; 4
Takikawa (10.1016/j.physrep.2024.03.004_b285) 2019; 99
Bertin (10.1016/j.physrep.2024.03.004_b216) 2012; 24
Anisimov (10.1016/j.physrep.2024.03.004_b115) 2019; 122
Chen (10.1016/j.physrep.2024.03.004_b201) 2017; 96
Elhajal (10.1016/j.physrep.2024.03.004_b69) 2002; 66
Li (10.1016/j.physrep.2024.03.004_b337) 2020; 124
Petit (10.1016/j.physrep.2024.03.004_b215) 2016; 12
Gromov (10.1016/j.physrep.2024.03.004_b12) 2015; 114
Watanabe (10.1016/j.physrep.2024.03.004_b170) 2016; 113
Ganesh (10.1016/j.physrep.2024.03.004_b313) 2013; 110
Lee (10.1016/j.physrep.2024.03.004_b126) 2008; 78
Johnson (10.1016/j.physrep.2024.03.004_b269) 2015; 92
Samajdar (10.1016/j.physrep.2024.03.004_b182) 2019; 99
Bourgeois-Hope (10.1016/j.physrep.2024.03.004_b161) 2019; 9
Leahy (10.1016/j.physrep.2024.03.004_b277) 2017; 118
Fradkin (10.1016/j.physrep.2024.03.004_b144) 1979; 19
Widmann (10.1016/j.physrep.2024.03.004_b271) 2019; 99
Zhang (10.1016/j.physrep.2024.03.004_b240) 2020; 2
Liu (10.1016/j.physrep.2024.03.004_b261) 2018; 97
Sibille (10.1016/j.physrep.2024.03.004_b235) 2020; 16
Alahmed (10.1016/j.physrep.2024.03.004_b38) 2022; 22
Singh (10.1016/j.physrep.2024.03.004_b252) 2012; 108
Pollini (10.1016/j.physrep.2024.03.004_b265) 1996; 53
Kim (10.1016/j.physrep.2024.03.004_b153) 2005; 72
Laurell (10.1016/j.physrep.2024.03.004_b55) 2017; 118
Ye (10.1016/j.physrep.2024.03.004_b290) 2018; 121
Huang (10.1016/j.physrep.2024.03.004_b324) 2022; 105
Bruno (10.1016/j.physrep.2024.03.004_b74) 2004; 93
Yang (10.1016/j.physrep.2024.03.004_b233) 2020; 102
Yoshida (10.1016/j.physrep.2024.03.004_b173) 2012; 3
Gong (10.1016/j.physrep.2024.03.004_b304) 2019; 100
Anderson (10.1016/j.physrep.2024.03.004_b221) 1956; 102
Hirschberger (10.1016/j.physrep.2024.03.004_b25) 2015; 348
Zhu (10.1016/j.physrep.2024.03.004_b67) 2019; 116
Sibille (10.1016/j.physrep.2024.03.004_b205) 2015; 115
Gohlke (10.1016/j.physrep.2024.03.004_b275) 2017; 119
Qin (10.1016/j.physrep.2024.03.004_b17) 2011; 107
Onose (10.1016/j.physrep.2024.03.004_b23) 2010; 329
Yamashita (10.1016/j.physrep.2024.03.004_b156) 2008; 5
Abd-Elmeguid (10.1016/j.physrep.2024.03.004_b101) 2004; 93
Liu (10.1016/j.physrep.2024.03.004_b311) 2020; 120
Jiang (10.1016/j.physrep.2024.03.004_b284) 2018
Kasahara (10.1016/j.physrep.2024.03.004_b239) 2018; 559
Chen (10.1016/j.physrep.2024.03.004_b113) 2019; 1
Cookmeyer (10.1016/j.physrep.2024.03.004_b166) 2021; 127
Jang (10.1016/j.physrep.2024.03.004_b260) 2019; 99
c. v. Chaloupka (10.1016/j.physrep.2024.03.004_b298) 2010; 105
Samajdar (10.1016/j.physrep.2024.03.004_b325) 2019; 15
Katsura (10.1016/j.physrep.2024.03.004_b41) 2010; 104
He (10.1016/j.physrep.2024.03.004_b141) 2018; 121
Sandilands (10.1016/j.physrep.2024.03.004_b253) 2015; 114
Yamashita (10.1016/j.physrep.2024.03.004_b294) 2020; 102
Hermanns (10.1016/j.physrep.2024.03.004_b135) 2018; 9
Huh (10.1016/j.physrep.2024.03.004_b178) 2010; 81
Ideue (10.1016/j.physrep.2024.03.004_b338) 2017; 16
Chern (10.1016/j.physrep.2024.03.004_b45) 2021; 126
Chen (10.1016/j.physrep.2024.03.004_b97) 2017; 96
Winter (10.1016/j.physrep.2024.03.004_b268) 2017; 29
Kim (10.1016/j.physrep.2024.03.004_b318) 2022
Senthil (10.1016/j.physrep.2024.03.004_b226) 2000; 62
Gao (10.1016/j.physrep.2024.03.004_b61) 2020; 586
Cépas (10.1016/j.physrep.2024.03.004_b87) 2001; 87
Guo (10.1016/j.physrep.2024.03.004_b187) 2020; 101
Mook (10.1016/j.physrep.2024.03.004_b35) 2016; 117
Matsumoto (10.1016/j.physrep.2024.03.004_b15) 2011; 84
Wen (10.1016/j.physrep.2024.03.004_b128) 1989; 39
Lu (10.1016/j.physrep.2024.03.004_b316) 2021; 127
Anderson (10.1016/j.physrep.2024.03.004_b3) 1987; 235
Li (10.1016/j.physrep.2024.03.004_b258) 2017; 95
Doki (10.1016/j.physrep.2024.03.004_b171) 2018; 121
Ran (10.1016/j.physrep.2024.03.004_b65) 2007; 98
Kurosaki (10.1016/j.physrep.2024.03.004_b155) 2005; 95
Senthil (10.1016/j.physrep.2024.03.004_b246) 2001; 86
Li (10.1016/j.physrep.2024.03.004_b263) 2019; 99
Hirschberger (10.1016/j.physrep.2024.03.004_b230) 2019
Chen (10.1016/j.physrep.2024.03.004_b98) 2016; 93
Mook (10.1016/j.physrep.2024.03.004_b71) 2019; 99
Xu (10.1016/j.physrep.2024.03.004_b212) 2020; 124
Larsen (10.1016/j.physrep.2024.03.004_b164) 2019; 99
Itou (10.1016/j.physrep.2024.03.004_b159) 2009; 145
Miyahara (10.1016/j.physrep.2024.03.004_b81) 1999; 82
Han (10.1016/j.physrep.2024.03.004_b172) 2012; 492
Chen (10.1016/j.physrep.2024.03.004_b213) 2012; 86
Guo (10.1016/j.physrep.2024.03.004_b344) 2023; 5
Huang (10.1016/j.physrep.2024.03.004_b195) 2014; 112
Zhitomirsky (10.1016/j.physrep.2024.03.004_b78) 1996; 54
Hickey (10.1016/j.physrep.2024.03.004_b320) 2016; 116
Ideue (10.1016/j.physrep.2024.03.004_b28) 2012; 85
Gaulin (10.1016/j.physrep.2024.03.004_b86) 2004; 93
Sun (10.1016/j.physrep.2024.03.004_b92) 2021; 103
Chen (10.1016/j.physrep.2024.03.004_b33) 2008; 78
Grohol (10.1016/j.physrep.2024.03.004_b64) 2005; 4
Hwang (10.1016/j.physrep.2024.03.004_b293) 2022; 13
Chen (10.1016/j.physrep.2024.03.004_b334) 2018; 8
Song (10.1016/j.physrep.2024.03.004_b122) 2022
McClarty (10.1016/j.physrep.2024.03.004_b22) 2022; 13
Bhardwaj (10.1016/j.physrep.2024.03.004_b236) 2022; 7
Winter (10.1016/j.physrep.2024.03.004_b299) 2016; 93
Ye (10.1016/j.physrep.2024.03.004_b75) 1999; 83
Hermele (10.1016/j.physrep.2024.03.004_b143) 2008; 77
Ataei (10.1016/j.physrep.2024.03.004_b342) 2024
Shastry (10.1016/j.physrep.2024.03.004_b83) 1981; 108
Chen (10.1016/j.physrep.2024.03.004_b116) 2021
Chen (10.1016/j.physrep.2024.03.004_b348) 2020; 124
Joy (10.1016/j.physrep.2024.03.004_b121) 2022; 12
Luttinger (10.1016/j.physrep.2024.03.004_b13) 1964; 135
Kane (10.1016/j.physrep.2024.03.004_b8) 1997; 55
Zhuo (10.1016/j.physrep.2024.03.004_b333) 2022; 24
Trebst (10.1016/j.physrep.2024.03.004_b134) 2022; 950
Schaffer (10.1016/j.physrep.2024.03.004_b302) 2012; 86
Shindou (10.1016/j.physrep.2024.03.004_b31) 2013; 87
Akazawa (10.1016/j.physrep.2024.03.004_b163) 2020; 10
Okuma (10.1016/j.physrep.2024.03.004_b180) 2017; 95
Marston (10.1016/j.physrep.2024.03.004_b149) 1990; 64
Clark (10.1016/j.physrep.2024.03.004_b306) 2011; 107
Mook (10.1016/j.physrep.2024.03.004_b29) 2014; 89
Yamashita (10.1016/j.physrep.2024.03.004_b158) 2010; 328
Li (10.1016/j.physrep.2024.03.004_b139) 2017; 96
Kao (10.1016/j.physrep.2024.03.004_b203) 2003; 68
Owerre (10.1016/j.physrep.2024.03.004_b51) 2017; 95
Rau (10.1016/j.physrep.2024.03.004_b259) 2018; 98
Ferrari (10.1016/j.physrep.2024.03.004_b314) 2017; 96
Molavian (10.1016/j.physrep.2024.03.004_b191) 2007; 98
Park (10.1016/j.physrep.2024.03.004_b183) 2020; 102
Li (10.1016/j.physrep.2024.03.004_b160) 2022; 129
Cheng (10.1016/j.physrep.2024.03.004_b88) 2007; 75
Cookmeyer (10.1016/j.physrep.2024.03.004_b291) 2018; 98
Hermele (10.1016/j.physrep.2024.03.004_b142) 2005; 72
Grohol (10.1016/j.physrep.2024.03.004_b60) 2005; 4
J
References_xml – volume: 10
  year: 2020
  ident: b165
  article-title: Chiral spin liquid phase of the triangular lattice hubbard model: A density matrix renormalization group study
  publication-title: Phys. Rev. X
– volume: 98
  year: 2018
  ident: b259
  article-title: Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra
  publication-title: Phys. Rev. B
– volume: 82
  start-page: 3701
  year: 1999
  end-page: 3704
  ident: b81
  article-title: Exact dimer ground state of the two dimensional heisenberg spin system SrCu
  publication-title: Phys. Rev. Lett.
– volume: 82
  start-page: 1743
  year: 2010
  end-page: 1766
  ident: b6
  article-title: Colloquium: Transport in strongly correlated two dimensional electron fluids
  publication-title: Rev. Modern Phys.
– volume: 1
  start-page: 264
  year: 2019
  end-page: 280
  ident: b257
  article-title: Concept and realization of Kitaev quantum spin liquids
  publication-title: Nat. Rev. Phys.
– volume: 93
  year: 2016
  ident: b305
  article-title: Classification of gapless
  publication-title: Phys. Rev. B
– volume: 80
  year: 2016
  ident: b5
  article-title: Quantum spin liquids: a review
  publication-title: Rep. Progr. Phys.
– volume: 39
  start-page: 11413
  year: 1989
  end-page: 11423
  ident: b128
  article-title: Chiral spin states and superconductivity
  publication-title: Phys. Rev. B
– volume: 321
  start-page: 2
  year: 2006
  end-page: 111
  ident: b4
  article-title: Anyons in an exactly solved model and beyond
  publication-title: Ann. Phys.
– volume: 1
  year: 2019
  ident: b113
  article-title: Intrinsic transverse field in frustrated quantum ising magnets: Physical origin and quantum effects
  publication-title: Phys. Rev. Res.
– volume: 6
  year: 2016
  ident: b190
  article-title: Time-Reversal Symmetric
  publication-title: Phys. Rev. X
– volume: 104
  year: 2010
  ident: b41
  article-title: Theory of the thermal Hall effect in quantum magnets
  publication-title: Phys. Rev. Lett.
– volume: 74
  year: 2006
  ident: b176
  article-title: Spin-liquid states on the triangular and Kagomé lattices: A projective-symmetry-group analysis of Schwinger boson states
  publication-title: Phys. Rev. B
– volume: 82
  year: 2010
  ident: b251
  article-title: Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material Na
  publication-title: Phys. Rev. B
– volume: 105
  year: 2010
  ident: b298
  article-title: Kitaev-Heisenberg model on a honeycomb lattice: Possible exotic phases in Iridium oxides
  publication-title: Phys. Rev. Lett.
– volume: 13
  start-page: 962
  year: 2017
  end-page: 966
  ident: b80
  article-title: 4-spin plaquette singlet state in the shastry–sutherland compound SrCu
  publication-title: Nat. Phys.
– volume: 2
  year: 2020
  ident: b301
  article-title: Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
  publication-title: Phys. Rev. Res.
– volume: 95
  year: 2005
  ident: b155
  article-title: Mott transition from a spin liquid to a Fermi liquid in the spin-frustrated organic conductor
  publication-title: Phys. Rev. Lett.
– volume: 124
  year: 2020
  ident: b212
  article-title: Order out of a Coulomb Phase and Higgs Transition: Frustrated Transverse Interactions of
  publication-title: Phys. Rev. Lett.
– volume: 102
  year: 2020
  ident: b294
  article-title: Sample dependence of half-integer quantized thermal Hall effect in the Kitaev spin-liquid candidate
  publication-title: Phys. Rev. B
– volume: 123
  year: 2019
  ident: b349
  article-title: Topological Magnon-Phonon Hybrid Excitations in Two-Dimensional Ferromagnets with Tunable Chern Numbers
  publication-title: Phys. Rev. Lett.
– volume: 2
  year: 2020
  ident: b240
  article-title: Topological thermal Hall effect of magnetic monopoles in the pyrochlore U(1) spin liquid
  publication-title: Phys. Rev. Res.
– volume: 117
  start-page: 37006
  year: 2017
  ident: b52
  article-title: Topological magnetic excitations on the distorted kagomé antiferromagnets: Applications to volborthite, vesignieite, and edwardsite
  publication-title: Europhys. Lett.
– volume: 93
  year: 2016
  ident: b98
  article-title: Cluster Mott insulators and two Curie–Weiss regimes on an anisotropic kagome lattice
  publication-title: Phys. Rev. B
– volume: 45
  start-page: 12377
  year: 1992
  end-page: 12396
  ident: b127
  article-title: Kagome- and triangular-lattice heisenberg antiferromagnets: Ordering from quantum fluctuations and quantum-disordered ground states with unconfined bosonic spinons
  publication-title: Phys. Rev. B
– volume: 118
  year: 2017
  ident: b287
  article-title: Thermal hall effect in a phonon-glass
  publication-title: Phys. Rev. Lett.
– volume: 78
  year: 2008
  ident: b126
  article-title: Stability of the U(1) spin liquid with a spinon Fermi surface in
  publication-title: Phys. Rev. B
– volume: 71
  year: 2005
  ident: b243
  article-title: Origin of artificial electrodynamics in three-dimensional bosonic models
  publication-title: Phys. Rev. B
– volume: 116
  start-page: 5437
  year: 2019
  end-page: 5441
  ident: b67
  article-title: Identifying spinon excitations from dynamic structure factor of spin-1/2 heisenberg antiferromagnet on the kagome lattice
  publication-title: Proc. Natl. Acad. Sci.
– volume: 105
  year: 2022
  ident: b321
  article-title: Intertwining SU(
  publication-title: Phys. Rev. B
– volume: 103
  year: 2021
  ident: b46
  article-title: Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
  publication-title: Phys. Rev. B
– volume: 96
  year: 2017
  ident: b201
  article-title: Dirac’s magnetic monopoles in pyrochlore ice U(1) spin liquids: Spectrum and classification
  publication-title: Phys. Rev. B
– volume: 112
  year: 2014
  ident: b267
  article-title: Generic spin model for the honeycomb Iridates beyond the Kitaev limit
  publication-title: Phys. Rev. Lett.
– volume: 87
  year: 2013
  ident: b130
  article-title: Proposal to use neutron scattering to access scalar spin chirality fluctuations in kagomé lattices
  publication-title: Phys. Rev. B
– volume: 303
  start-page: 2
  year: 2003
  end-page: 30
  ident: b145
  article-title: Fault-tolerant quantum computation by anyons
  publication-title: Ann. Phys.
– volume: 9
  year: 2019
  ident: b161
  article-title: Thermal conductivity of the quantum spin liquid candidate EtMe
  publication-title: Phys. Rev. X
– volume: 7
  year: 2022
  ident: b236
  article-title: Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce
  publication-title: npj Quant. Mater.
– year: 2023
  ident: b350
  article-title: Chiral magneto-phonons with tunable topology in anisotropic quantum magnets
– volume: 82
  year: 2013
  ident: b20
  article-title: Topological insulator materials
  publication-title: J. Phys. Soc. Japan
– volume: 95
  year: 2017
  ident: b76
  article-title: Cluster multipole theory for anomalous Hall effect in antiferromagnets
  publication-title: Phys. Rev. B
– volume: 555
  start-page: 638
  year: 2018
  end-page: 642
  ident: b39
  article-title: Massive dirac fermions in a ferromagnetic kagome metal
  publication-title: Nature
– volume: 124
  year: 2020
  ident: b18
  article-title: Universal behavior of the thermal Hall conductivity
  publication-title: Phys. Rev. Lett.
– volume: 373
  start-page: 568
  year: 2021
  end-page: 572
  ident: b295
  article-title: Half-integer quantized anomalous thermal Hall effect in the Kitaev material candidate
  publication-title: Science
– volume: 559
  start-page: 205
  year: 2018
  end-page: 210
  ident: b9
  article-title: Observation of half-integer thermal Hall conductance
  publication-title: Nature
– volume: 2
  start-page: 004
  year: 2020
  ident: b184
  article-title: Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
  publication-title: SciPost Phys. Core
– volume: 451
  start-page: 42
  year: 2008
  end-page: 45
  ident: b223
  article-title: Magnetic monopoles in spin ice
  publication-title: Nature
– year: 2018
  ident: b284
  article-title: Field induced quantum spin liquid with spinon Fermi surfaces in the kitaev model
– volume: 120
  year: 2018
  ident: b278
  article-title: Unusual phonon heat transport in
  publication-title: Phys. Rev. Lett.
– volume: 64
  start-page: 1166
  year: 1990
  end-page: 1169
  ident: b149
  article-title: Instantons and massless fermions in (2+1)-dimensional lattice QED and antiferromagnets
  publication-title: Phys. Rev. Lett.
– volume: 82
  year: 2010
  ident: b114
  article-title: Exotic phases induced by strong spin–orbit coupling in ordered double perovskites
  publication-title: Phys. Rev. B
– volume: 4
  start-page: 198
  year: 2008
  end-page: 204
  ident: b77
  article-title: Bose–einstein condensation in magnetic insulators
  publication-title: Nat. Phys.
– year: 2024
  ident: b342
  article-title: Phonon chirality from impurity scattering in the antiferromagnetic phase of Sr
  publication-title: Nat. Phys.
– volume: 2
  year: 2020
  ident: b111
  article-title: Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO
  publication-title: Phys. Rev. Res.
– volume: 99
  year: 2019
  ident: b53
  article-title: Topological thermal hall effect driven by spin-chirality fluctuations in frustrated antiferromagnets
  publication-title: Phys. Rev. B
– volume: 93
  year: 2004
  ident: b101
  article-title: Transition from mott insulator to superconductor in GaNb
  publication-title: Phys. Rev. Lett.
– volume: 69
  year: 2004
  ident: b132
  article-title: Pyrochlore photons: The U(1) spin liquid in a
  publication-title: Phys. Rev. B
– year: 2023
  ident: b331
  article-title: Phonons behave like electrons in the thermal hall effect of the cuprates
– volume: 235
  start-page: 1196
  year: 1987
  end-page: 1198
  ident: b3
  article-title: The resonating valence bond state in La
  publication-title: Science
– volume: 66
  year: 2002
  ident: b131
  article-title: Microscopic models for fractionalized phases in strongly correlated systems
  publication-title: Phys. Rev. B
– volume: 68
  year: 2003
  ident: b203
  article-title: Understanding paramagnetic spin correlations in the spin-liquid pyrochlore
  publication-title: Phys. Rev. B
– volume: 114
  year: 2015
  ident: b253
  article-title: Scattering continuum and possible fractionalized excitations in
  publication-title: Phys. Rev. Lett.
– volume: 120
  start-page: 91
  year: 1960
  end-page: 98
  ident: b34
  article-title: Anisotropic superexchange interaction and weak ferromagnetism
  publication-title: Phys. Rev.
– volume: 108
  start-page: 1069
  year: 1981
  end-page: 1070
  ident: b83
  article-title: Exact ground state of a quantum mechanical antiferromagnet
  publication-title: Phys. B+C
– year: 2023
  ident: b245
  article-title: Kitaev materials as weak mott insulators
– volume: 102
  year: 2009
  ident: b250
  article-title: Mott insulators in the strong spin-orbit coupling limit: From heisenberg to a quantum compass and kitaev models
  publication-title: Phys. Rev. Lett.
– volume: 88
  year: 2013
  ident: b307
  article-title: Phase diagram of the spin-
  publication-title: Phys. Rev. B
– volume: 87
  year: 2013
  ident: b48
  article-title: Magnetic texture-induced thermal Hall effects
  publication-title: Phys. Rev. B
– volume: 113
  start-page: 8653
  year: 2016
  end-page: 8657
  ident: b170
  article-title: Emergence of nontrivial magnetic excitations in a spin-liquid state of kagomé volborthite
  publication-title: Proc. Natl. Acad. Sci.
– volume: 87
  year: 2013
  ident: b24
  article-title: Topological magnon insulator in insulating ferromagnet
  publication-title: Phys. Rev. B
– volume: 89
  year: 2014
  ident: b29
  article-title: Magnon Hall effect and topology in kagome lattices: A theoretical investigation
  publication-title: Phys. Rev. B
– volume: 117
  year: 2016
  ident: b315
  article-title: Realization of the Haldane-Kane–Mele model in a system of localized spins
  publication-title: Phys. Rev. Lett.
– volume: 60
  start-page: 6584
  year: 1999
  end-page: 6587
  ident: b94
  article-title: Elementary excitations in magnetically ordered systems with orbital degeneracy
  publication-title: Phys. Rev. B
– volume: 68
  year: 2003
  ident: b152
  article-title: Absence of U(1) spin liquids in two dimensions
  publication-title: Phys. Rev. B
– volume: 4
  year: 2022
  ident: b49
  article-title: Topological thermal Hall effect of magnons in magnetic skyrmion lattice
  publication-title: Phys. Rev. Res.
– volume: 72
  year: 2005
  ident: b137
  article-title: Variational study of triangular lattice spin-
  publication-title: Phys. Rev. B
– volume: 559
  start-page: 227
  year: 2018
  end-page: 231
  ident: b249
  article-title: Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
  publication-title: Nature
– volume: 120
  year: 2018
  ident: b281
  article-title: Dirac and chiral quantum spin liquids on the honeycomb lattice in a magnetic field
  publication-title: Phys. Rev. Lett.
– volume: 119
  year: 2022
  ident: b343
  article-title: Large phonon thermal Hall conductivity in the antiferromagnetic insulator Cu
  publication-title: Proc. Natl. Acad. Sci.
– volume: 124
  year: 2020
  ident: b337
  article-title: Phonon thermal hall effect in strontium titanate
  publication-title: Phys. Rev. Lett.
– volume: 118
  year: 2017
  ident: b198
  article-title: Disordered route to the coulomb quantum spin liquid: Random transverse fields on spin ice in
  publication-title: Phys. Rev. Lett.
– volume: 8
  start-page: 337
  year: 2017
  end-page: 354
  ident: b21
  article-title: Topological materials: Weyl semimetals
  publication-title: Ann. Rev. Condens. Matter Phys.
– volume: 97
  year: 2018
  ident: b100
  article-title: Emergent orbitals in the cluster Mott insulator on a breathing kagome lattice
  publication-title: Phys. Rev. B
– volume: 111
  year: 2013
  ident: b104
  article-title: Excitonic magnetism in Van Vleck–type
  publication-title: Phys. Rev. Lett.
– volume: 291
  start-page: 2573
  year: 2001
  end-page: 2576
  ident: b57
  article-title: Spin chirality, berry phase, and anomalous hall effect in a frustrated ferromagnet
  publication-title: Science
– volume: 105
  year: 2010
  ident: b192
  article-title: Quantum melting of spin ice: Emergent cooperative quadrupole and chirality
  publication-title: Phys. Rev. Lett.
– volume: 112
  year: 2014
  ident: b195
  article-title: Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
  publication-title: Phys. Rev. Lett.
– volume: 100
  year: 2019
  ident: b108
  article-title: Spin–orbital entanglement in
  publication-title: Phys. Rev. B
– volume: 78
  year: 2015
  ident: b2
  article-title: Unusual ordered phases of highly frustrated magnets: a review
  publication-title: Rep. Progr. Phys.
– volume: 95
  year: 2017
  ident: b352
  article-title: Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
  publication-title: Phys. Rev. B
– volume: 15
  start-page: 733
  year: 2016
  end-page: 740
  ident: b273
  article-title: Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet
  publication-title: Nature Mater.
– volume: 10
  year: 2019
  ident: b181
  article-title: A series of magnon crystals appearing under ultrahigh magnetic fields in a kagomé antiferromagnet
  publication-title: Nature Commun.
– volume: 24
  year: 2012
  ident: b310
  article-title: The frustrated heisenberg antiferromagnet on the honeycomb lattice:
  publication-title: J. Phys.: Condens. Matter
– year: 2022
  ident: b319
  article-title: Thermal Hall responses in frustrated honeycomb spin systems
– volume: 55
  start-page: 15832
  year: 1997
  end-page: 15837
  ident: b8
  article-title: Quantized thermal transport in the fractional quantum Hall effect
  publication-title: Phys. Rev. B
– volume: 3
  year: 2021
  ident: b73
  article-title: Twisted magnetic topological insulators
  publication-title: Phys. Rev. Res.
– volume: 9
  year: 2019
  ident: b168
  article-title: Dynamical structure factor of the
  publication-title: Phys. Rev. X
– volume: 93
  year: 2004
  ident: b86
  article-title: High-resolution study of spin excitations in the singlet ground state of SrCu
  publication-title: Phys. Rev. Lett.
– volume: 7
  start-page: 195
  year: 2016
  end-page: 221
  ident: b256
  article-title: Spin–orbit physics giving rise to novel phases in correlated systems: Iridates and related materials
  publication-title: Ann. Rev. Condens. Matter Phys.
– volume: 80
  year: 2009
  ident: b103
  article-title: Excitation spectrum and magnetic field effects in a quantum critical spin–orbital system: The case of FeSc
  publication-title: Phys. Rev. B
– volume: 107
  year: 2011
  ident: b306
  article-title: Nature of the spin liquid state of the Hubbard model on a honeycomb lattice
  publication-title: Phys. Rev. Lett.
– volume: 87
  year: 2001
  ident: b87
  article-title: Dzyaloshinski-Moriya interaction in the 2D spin gap system SrCu
  publication-title: Phys. Rev. Lett.
– volume: 83
  year: 2011
  ident: b89
  article-title: Effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu
  publication-title: Phys. Rev. B
– volume: 101
  year: 2020
  ident: b187
  article-title: Gauge theories for the thermal Hall effect
  publication-title: Phys. Rev. B
– volume: 105
  year: 2022
  ident: b324
  article-title: Coexistence of non-abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet
  publication-title: Phys. Rev. B
– volume: 95
  year: 2017
  ident: b51
  article-title: Topological thermal Hall effect in frustrated kagomé antiferromagnets
  publication-title: Phys. Rev. B
– volume: 84
  year: 2011
  ident: b312
  article-title: Phase diagram of a frustrated quantum antiferromagnet on the honeycomb lattice: Magnetic order versus valence-bond crystal formation
  publication-title: Phys. Rev. B
– volume: 86
  year: 2012
  ident: b194
  article-title: Generic quantum spin ice
  publication-title: Phys. Rev. B
– volume: 57
  start-page: 2680
  year: 1935
  end-page: 2684
  ident: b224
  article-title: The structure and entropy of ice and of other crystals with some randomness of atomic arrangement
  publication-title: J. Am. Chem. Soc.
– volume: 93
  year: 2016
  ident: b299
  article-title: Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales
  publication-title: Phys. Rev. B
– volume: 77
  year: 2014
  ident: b133
  article-title: Quantum spin ice: a search for gapless quantum spin liquids in pyrochlore magnets
  publication-title: Rep. Progr. Phys.
– volume: 72
  year: 2005
  ident: b142
  article-title: Algebraic spin liquid as the mother of many competing orders
  publication-title: Phys. Rev. B
– volume: 122
  year: 2019
  ident: b47
  article-title: Tunable magnonic thermal hall effect in skyrmion crystal phases of ferrimagnets
  publication-title: Phys. Rev. Lett.
– volume: 15
  start-page: 243
  year: 2024
  ident: b339
  article-title: Thermal Hall effects due to topological spin fluctuations in YMnO
  publication-title: Nature Commun.
– volume: 95
  year: 2005
  ident: b136
  article-title: U(1) gauge theory of the hubbard model: Spin liquid states and possible application to
  publication-title: Phys. Rev. Lett.
– volume: 86
  year: 2012
  ident: b302
  article-title: Quantum phase transition in Heisenberg-Kitaev model
  publication-title: Phys. Rev. B
– volume: 127
  year: 2021
  ident: b340
  article-title: Anomalous thermal hall effect in an insulating van der Waals magnet
  publication-title: Phys. Rev. Lett.
– volume: 12
  start-page: 912
  year: 2016
  end-page: 915
  ident: b254
  article-title: Fermionic response from fractionalization in an insulating two-dimensional magnet
  publication-title: Nat. Phys.
– volume: 95
  year: 2005
  ident: b323
  article-title: Quantum spin Hall effect in graphene
  publication-title: Phys. Rev. Lett.
– volume: 98
  year: 2018
  ident: b44
  article-title: Topological magnons in Kitaev magnets at high fields
  publication-title: Phys. Rev. B
– volume: 5
  start-page: 57
  year: 2014
  end-page: 82
  ident: b118
  article-title: Correlated quantum phenomena in the strong spin-orbit regime
  publication-title: Ann. Rev. Condens. Matter Phys.
– volume: 87
  year: 2018
  ident: b232
  article-title: Discovery of emergent photon and monopoles in a quantum spin liquid
  publication-title: J. Phys. Soc. Japan
– volume: 103
  year: 2009
  ident: b197
  article-title: Two-dimensional kagomé correlations and field induced order in the ferromagnetic
  publication-title: Phys. Rev. Lett.
– volume: 41
  start-page: 9323
  year: 1990
  end-page: 9329
  ident: b84
  article-title: Bond-operator representation of quantum spins: Mean-field theory of frustrated quantum heisenberg antiferromagnets
  publication-title: Phys. Rev. B
– volume: 13
  start-page: 736
  year: 2017
  end-page: 741
  ident: b91
  article-title: Topological triplon modes and bound states in a Shastry–Sutherland magnet
  publication-title: Nat. Phys.
– volume: 89
  year: 2014
  ident: b16
  article-title: Thermal Hall effect of magnons in magnets with dipolar interaction
  publication-title: Phys. Rev. B
– year: 2019
  ident: b230
  article-title: Enhanced thermal hall conductivity below 1 kelvin in the pyrochlore magnet yb
– year: 2023
  ident: b62
  article-title: Emergent SU(3) magnons and thermal Hall effect in the antiferromagnetic skyrmion lattice
– volume: 87
  year: 2013
  ident: b231
  article-title: Spin liquid regimes at nonzero temperature in quantum spin ice
  publication-title: Phys. Rev. B
– volume: 64
  start-page: 1222
  year: 2019
  end-page: 1227
  ident: b36
  article-title: Asymmetric ferromagnetic criticality in pyrochlore ferromagnet Lu
  publication-title: Science Bulletin
– volume: 121
  year: 2018
  ident: b141
  article-title: Spinon Fermi surface in a cluster Mott insulator model on a triangular lattice and possible application to
  publication-title: Phys. Rev. Lett.
– volume: 5
  year: 2023
  ident: b344
  article-title: Phonon thermal Hall effect in a non-Kramers paramagnet
  publication-title: Phys. Rev. Res.
– volume: 96
  year: 2017
  ident: b97
  article-title: Quantum paramagnet and frustrated quantum criticality in a spin-one diamond lattice antiferromagnet
  publication-title: Phys. Rev. B
– volume: 124
  year: 2020
  ident: b348
  article-title: Enhanced thermal hall effect in nearly ferroelectric insulators
  publication-title: Phys. Rev. Lett.
– volume: 145
  year: 2009
  ident: b159
  article-title: Cl NMR study of the spin-liquid state in the triangular quantum antiferromagnet EtMe
  publication-title: J. Phys. Conf. Ser.
– volume: 5
  start-page: 44
  year: 2008
  end-page: 47
  ident: b156
  article-title: Thermal-transport measurements in a quantum spin-liquid state of the frustrated triangular magnet
  publication-title: Nat. Phys.
– volume: 116
  start-page: 12199
  year: 2019
  end-page: 12203
  ident: b283
  article-title: Magnetic field-induced intermediate quantum spin liquid with a spinon fermi surface
  publication-title: Proc. Natl. Acad. Sci.
– volume: 84
  year: 2011
  ident: b105
  article-title: Spin–orbit coupling in
  publication-title: Phys. Rev. B
– volume: 107
  year: 2023
  ident: b120
  article-title: Nature of visons in the perturbed ferromagnetic and antiferromagnetic Kitaev honeycomb models
  publication-title: Phys. Rev. B
– year: 2023
  ident: b238
  article-title: Fractional matter coupled to the emergent gauge field in a quantum spin ice
– volume: 95
  year: 2017
  ident: b258
  article-title: Kitaev materials beyond iridates: Order by quantum disorder and Weyl magnons in rare-earth double perovskites
  publication-title: Phys. Rev. B
– volume: 13
  start-page: 1079
  year: 2017
  end-page: 1084
  ident: b270
  article-title: Majorana fermions in the kitaev quantum spin system
  publication-title: Nat. Phys.
– volume: 118
  year: 2017
  ident: b277
  article-title: Anomalous thermal conductivity and magnetic torque response in the honeycomb magnet
  publication-title: Phys. Rev. Lett.
– volume: 82
  year: 2010
  ident: b185
  article-title: Coupled frustrated quantum spin-
  publication-title: Phys. Rev. B
– volume: 108
  year: 2012
  ident: b220
  article-title: Tetrahedral Magnetic Order and the Metal-Insulator Transition in the Pyrochlore Lattice of
  publication-title: Phys. Rev. Lett.
– volume: 98
  year: 2018
  ident: b106
  article-title: Competing phases and topological excitations of spin-1 pyrochlore antiferromagnets
  publication-title: Phys. Rev. B
– volume: 122
  year: 2019
  ident: b209
  article-title: Quantum spin ice dynamics in the dipole-octupole pyrochlore magnet
  publication-title: Phys. Rev. Lett.
– volume: 12
  year: 2022
  ident: b121
  article-title: Dynamics of visons and thermal hall effect in perturbed kitaev models
  publication-title: Phys. Rev. X
– volume: 348
  start-page: 106
  year: 2015
  end-page: 109
  ident: b25
  article-title: Large thermal Hall conductivity of neutral spin excitations in a frustrated quantum magnet
  publication-title: Science
– volume: 106
  year: 2022
  ident: b210
  article-title: Magnetic field effects in an octupolar quantum spin liquid candidate
  publication-title: Phys. Rev. B
– volume: 102
  start-page: 1008
  year: 1956
  end-page: 1013
  ident: b221
  article-title: Ordering and antiferromagnetism in ferrites
  publication-title: Phys. Rev.
– reference: , Int. J. Mod. Phys. B 0 (0) 2450040.
– volume: 8
  year: 2018
  ident: b289
  article-title: Approximately quantized thermal Hall effect of chiral liquids coupled to phonons
  publication-title: Phys. Rev. X
– volume: 113
  year: 2014
  ident: b99
  article-title: Fractionalized charge excitations in a spin liquid on partially filled pyrochlore lattices
  publication-title: Phys. Rev. Lett.
– volume: 115
  year: 2015
  ident: b26
  article-title: Thermal Hall effect of spin excitations in a kagomé magnet
  publication-title: Phys. Rev. Lett.
– volume: 12
  year: 2022
  ident: b329
  article-title: Phonon thermal hall conductivity from scattering with collective fluctuations
  publication-title: Phys. Rev. X
– volume: 123
  year: 2019
  ident: b347
  article-title: Thermal hall effect induced by magnon-phonon interactions
  publication-title: Phys. Rev. Lett.
– volume: 559
  start-page: 227
  year: 2018
  end-page: 231
  ident: b239
  article-title: Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
  publication-title: Nature
– volume: 76
  year: 2007
  ident: b56
  article-title: Quantum and classical spins on the spatially distorted kagomé lattice: Applications to volborthite Cu
  publication-title: Phys. Rev. B
– volume: 39
  start-page: 8988
  year: 1989
  end-page: 8999
  ident: b146
  article-title: Gapless fermions and gauge fields in dielectrics
  publication-title: Phys. Rev. B
– volume: 81
  year: 2010
  ident: b177
  article-title: Schwinger-boson approach to the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions: Phase diagram and dynamical structure factors
  publication-title: Phys. Rev. B
– volume: 100
  year: 2019
  ident: b274
  article-title: Finite field regime for a quantum spin liquid in
  publication-title: Phys. Rev. B
– volume: 583
  start-page: 533
  year: 2020
  end-page: 536
  ident: b40
  article-title: Quantum-limit Chern topological magnetism in TbMn
  publication-title: Nature
– volume: 492
  start-page: 406
  year: 2012
  end-page: 410
  ident: b172
  article-title: Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet
  publication-title: Nature
– volume: 3
  start-page: 860
  year: 2012
  ident: b173
  article-title: Orbital switching in a frustrated magnet
  publication-title: Nature Commun.
– volume: 97
  year: 2018
  ident: b300
  article-title: Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field
  publication-title: Phys. Rev. B
– volume: 99
  year: 2019
  ident: b271
  article-title: Thermodynamic evidence of fractionalized excitations in
  publication-title: Phys. Rev. B
– volume: 98
  year: 2018
  ident: b291
  article-title: Spin-wave analysis of the low-temperature thermal Hall effect in the candidate Kitaev spin liquid
  publication-title: Phys. Rev. B
– volume: 83
  start-page: 3737
  year: 1999
  end-page: 3740
  ident: b75
  article-title: Berry phase theory of the anomalous hall effect: Application to colossal magnetoresistance manganites
  publication-title: Phys. Rev. Lett.
– reference: .
– year: 2022
  ident: b211
  article-title: Long-range order coexisting with long-range entanglement: Is Nd
– volume: 294
  start-page: 1495
  year: 2001
  end-page: 1501
  ident: b225
  article-title: Spin ice state in frustrated magnetic pyrochlore materials
  publication-title: Science
– volume: 116
  year: 2016
  ident: b320
  article-title: Haldane-Hubbard Mott insulator: From tetrahedral spin crystal to chiral spin liquid
  publication-title: Phys. Rev. Lett.
– volume: 4
  start-page: 459
  year: 2008
  end-page: 462
  ident: b157
  article-title: Thermodynamic properties of a spin-1/2 spin-liquid state in a
  publication-title: Nat. Phys.
– volume: 102
  year: 2020
  ident: b233
  article-title: Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
  publication-title: Phys. Rev. B
– volume: 107
  year: 2023
  ident: b341
  article-title: Thermal hall effect in a van der waals triangular magnet
  publication-title: Phys. Rev. B
– volume: 102
  year: 2020
  ident: b183
  article-title: Thermal Hall effect from a two-dimensional Schwinger boson gas with Rashba spin–orbit interaction: Application to ferromagnets with in-plane Dzyaloshinskii-Moriya interaction
  publication-title: Phys. Rev. B
– volume: 15
  start-page: 1290
  year: 2019
  end-page: 1294
  ident: b325
  article-title: Enhanced thermal Hall effect in the square-lattice Néel state
  publication-title: Nat. Phys.
– volume: 115
  year: 2015
  ident: b27
  article-title: Topological magnon bands in a kagomé lattice ferromagnet
  publication-title: Phys. Rev. Lett.
– volume: 86
  year: 2017
  ident: b174
  article-title: Unusual magnetic state with dual magnetic excitations in the single crystal of
  publication-title: J. Phys. Soc. Japan
– volume: 1
  year: 2019
  ident: b244
  article-title: Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
  publication-title: Phys. Rev. Res.
– volume: 85
  year: 2012
  ident: b10
  article-title: Gravitational anomalies and thermal Hall effect in topological insulators
  publication-title: Phys. Rev. B
– volume: 85
  year: 2012
  ident: b11
  article-title: Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
  publication-title: Phys. Rev. B
– volume: 96
  year: 2006
  ident: b70
  article-title: Spin waves in the frustrated Kagomé lattice antiferromagnet KFe
  publication-title: Phys. Rev. Lett.
– volume: 321
  start-page: 1306
  year: 2008
  end-page: 1307
  ident: b186
  article-title: An end to the drought of quantum spin liquids
  publication-title: Science
– volume: 120
  year: 2018
  ident: b248
  article-title: Unusual thermal hall effect in a kitaev spin liquid candidate
  publication-title: Phys. Rev. Lett.
– volume: 66
  year: 2002
  ident: b69
  article-title: Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagomé lattice
  publication-title: Phys. Rev. B
– volume: 99
  year: 2019
  ident: b164
  article-title: Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice
  publication-title: Phys. Rev. B
– volume: 104
  year: 2021
  ident: b332
  article-title: Topological phase transition and thermal Hall effect in kagome ferromagnets
  publication-title: Phys. Rev. B
– year: 2022
  ident: b318
  article-title: Topological phase transition in magnon bands in a honeycomb ferromagnet driven by sublattice symmetry breaking
– volume: 66
  year: 2002
  ident: b148
  article-title: Spin correlations in the algebraic spin liquid: Implications for high-
  publication-title: Phys. Rev. B
– volume: 107
  year: 2011
  ident: b17
  article-title: Energy magnetization and the thermal Hall effect
  publication-title: Phys. Rev. Lett.
– volume: 94
  year: 2016
  ident: b200
  article-title: Magnetic monopole condensation of the pyrochlore ice U(1) quantum spin liquid: Application to Pr
  publication-title: Phys. Rev. B
– volume: 99
  year: 2019
  ident: b71
  article-title: Thermal Hall effect in noncollinear coplanar insulating antiferromagnets
  publication-title: Phys. Rev. B
– volume: 54
  start-page: 9007
  year: 1996
  end-page: 9010
  ident: b78
  article-title: Valence-bond crystal phase of a frustrated spin-1/2 square-lattice antiferromagnet
  publication-title: Phys. Rev. B
– volume: 6
  start-page: 6805
  year: 2015
  ident: b85
  article-title: Hall effect of triplons in a dimerized quantum magnet
  publication-title: Nature Commun.
– volume: 46
  start-page: 5621
  year: 1992
  end-page: 5639
  ident: b129
  article-title: Gauge theory of the normal state of high-
  publication-title: Phys. Rev. B
– volume: 77
  year: 2008
  ident: b143
  article-title: Properties of an algebraic spin liquid on the kagomé lattice
  publication-title: Phys. Rev. B
– volume: 16
  start-page: 546
  year: 2020
  end-page: 552
  ident: b235
  article-title: A quantum liquid of magnetic octupoles on the pyrochlore lattice
  publication-title: Nat. Phys.
– volume: 2
  year: 2020
  ident: b207
  article-title: Pyrochlore U(1) spin liquid of mixed-symmetry enrichments in magnetic fields
  publication-title: Phys. Rev. Res.
– volume: 87
  year: 2013
  ident: b303
  article-title: Global phase diagram of a doped Kitaev-Heisenberg model
  publication-title: Phys. Rev. B
– volume: 463
  start-page: 210
  year: 2009
  end-page: 213
  ident: b59
  article-title: Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order
  publication-title: Nature
– volume: 118
  year: 2017
  ident: b335
  article-title: Thermal hall effect in a phonon-glass
  publication-title: Phys. Rev. Lett.
– volume: 78
  year: 2008
  ident: b33
  article-title: Spin–orbit effects in
  publication-title: Phys. Rev. B
– volume: 92
  year: 2015
  ident: b214
  article-title: Magnetic structure and crystal-field states of the pyrochlore antiferromagnet
  publication-title: Phys. Rev. B
– volume: 85
  year: 2012
  ident: b309
  article-title: Ground-state phase diagram of the quantum
  publication-title: Phys. Rev. B
– volume: 99
  year: 2019
  ident: b297
  article-title: Large thermal Hall effect in
  publication-title: Phys. Rev. B
– volume: 100
  year: 2019
  ident: b304
  article-title: Chiral spin liquid with spinon Fermi surfaces in the spin-
  publication-title: Phys. Rev. B
– volume: 24
  year: 2022
  ident: b333
  article-title: Topological thermal Hall effect and magnonic edge states in kagome ferromagnets with bond anisotropy
  publication-title: New J. Phys.
– volume: 99
  year: 2019
  ident: b336
  article-title: Phononic thermal Hall effect in diluted terbium oxides
  publication-title: Phys. Rev. B
– volume: 73
  year: 2006
  ident: b138
  article-title: Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to
  publication-title: Phys. Rev. B
– volume: 62
  start-page: 6496
  year: 2000
  end-page: 6511
  ident: b202
  article-title: Thermodynamic and single-ion properties of
  publication-title: Phys. Rev. B
– volume: 81
  year: 2010
  ident: b178
  article-title: Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
  publication-title: Phys. Rev. B
– volume: 99
  year: 2019
  ident: b326
  article-title: Consideration of thermal Hall effect in undoped cuprates
  publication-title: Phys. Rev. B
– volume: 98
  year: 2007
  ident: b191
  article-title: Dynamically induced frustration as a route to a quantum spin ice state in
  publication-title: Phys. Rev. Lett.
– volume: 62
  start-page: 7850
  year: 2000
  end-page: 7881
  ident: b226
  article-title: gauge theory of electron fractionalization in strongly correlated systems
  publication-title: Phys. Rev. B
– volume: 92
  year: 2015
  ident: b269
  article-title: Monoclinic crystal structure of
  publication-title: Phys. Rev. B
– volume: 86
  year: 2012
  ident: b213
  article-title: Magnetic orders and topological phases from
  publication-title: Phys. Rev. B
– volume: 93
  year: 2016
  ident: b107
  article-title: Fragile singlet ground-state magnetism in the pyrochlore osmates
  publication-title: Phys. Rev. B
– volume: 97
  year: 2018
  ident: b261
  article-title: Pseudospin exchange interactions in
  publication-title: Phys. Rev. B
– volume: 571
  start-page: 376
  year: 2019
  end-page: 380
  ident: b327
  article-title: Giant thermal Hall conductivity in the pseudogap phase of cuprate superconductors
  publication-title: Nature
– volume: 91
  year: 2003
  ident: b151
  article-title: Permanent confinement in the compact QED
  publication-title: Phys. Rev. Lett.
– volume: 4
  start-page: 323
  year: 2005
  end-page: 328
  ident: b64
  article-title: Spin chirality on a two-dimensional frustrated lattice
  publication-title: Nature Mater.
– volume: 93
  year: 2016
  ident: b167
  article-title: Spin liquid nature in the Heisenberg
  publication-title: Phys. Rev. B
– volume: 115
  year: 2015
  ident: b205
  article-title: Candidate quantum spin liquid in the
  publication-title: Phys. Rev. Lett.
– volume: 121
  year: 2018
  ident: b171
  article-title: Spin thermal hall conductivity of a kagome antiferromagnet
  publication-title: Phys. Rev. Lett.
– volume: 95
  year: 2005
  ident: b286
  article-title: Phenomenological evidence for the phonon hall effect
  publication-title: Phys. Rev. Lett.
– volume: 82
  start-page: 3168
  year: 1999
  end-page: 3171
  ident: b82
  article-title: Exact dimer ground state and quantized magnetization plateaus in the two-dimensional spin system SrCu
  publication-title: Phys. Rev. Lett.
– volume: 12
  year: 2022
  ident: b208
  article-title: Case for a
  publication-title: Phys. Rev. X
– volume: 117
  year: 2016
  ident: b346
  article-title: Berry curvature in magnon-phonon hybrid systems
  publication-title: Phys. Rev. Lett.
– volume: 2
  year: 2020
  ident: b96
  article-title: Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
  publication-title: Phys. Rev. Res.
– volume: 1
  year: 2011
  ident: b196
  article-title: Quantum excitations in quantum spin ice
  publication-title: Phys. Rev. X
– volume: 99
  year: 2019
  ident: b218
  article-title: Deviation from the dipole-ice model in the spinel spin-ice candidate
  publication-title: Phys. Rev. B
– volume: 92
  year: 2015
  ident: b72
  article-title: Symmetry-imposed shape of linear response tensors
  publication-title: Phys. Rev. B
– volume: 107
  year: 2023
  ident: b229
  article-title: Low-temperature specific heat and heat transport of
  publication-title: Phys. Rev. B
– volume: 96
  year: 2017
  ident: b139
  article-title: Spinon Fermi surface U(1) spin liquid in the spin–orbit-coupled triangular-lattice Mott insulator YbMgGaO
  publication-title: Phys. Rev. B
– year: 2023
  ident: b237
  article-title: Distinguishing thermodynamics and spectroscopy for octupolar U(1) spin liquid of Ce-pyrochlores
– volume: 120
  year: 2020
  ident: b311
  article-title: Topologically different spin disorder phases of the
  publication-title: Phys. E: Low-dimensional Syst. Nanostruct.
– volume: 332
  start-page: 1173
  year: 2011
  end-page: 1176
  ident: b66
  article-title: Spin-liquid ground state of the S = 1/2 kagome heisenberg antiferromagnet
  publication-title: Science
– volume: 87
  year: 2013
  ident: b32
  article-title: Topological chiral magnonic edge mode in a magnonic crystal
  publication-title: Phys. Rev. B
– volume: 72
  year: 2005
  ident: b153
  article-title: Deconfinement in the presence of a Fermi surface
  publication-title: Phys. Rev. B
– volume: 586
  start-page: 37
  year: 2020
  end-page: 41
  ident: b61
  article-title: Fractional antiferromagnetic skyrmion lattice induced by anisotropic couplings
  publication-title: Nature
– volume: 70
  year: 2004
  ident: b125
  article-title: Stability of U(1) spin liquids in two dimensions
  publication-title: Phys. Rev. B
– volume: 114
  year: 2015
  ident: b12
  article-title: Framing anomaly in the effective theory of the fractional quantum hall effect
  publication-title: Phys. Rev. Lett.
– volume: 24
  year: 2012
  ident: b216
  article-title: Crystal electric field in the R
  publication-title: J. Phys.: Condens. Matter
– volume: 119
  year: 2022
  ident: b345
  article-title: Resonant thermal hall effect of phonons coupled to dynamical defects
  publication-title: Proc. Natl. Acad. Sci.
– year: 2020
  ident: b93
  article-title: Thermal hall effect of topological triplons in SrCu
  publication-title: Proceedings of the International Conference on Strongly Correlated Electron Systems (SCES2019)
– volume: 356
  start-page: 1055
  year: 2017
  end-page: 1059
  ident: b255
  article-title: Neutron scattering in the proximate quantum spin liquid
  publication-title: Science
– volume: 103
  year: 2021
  ident: b92
  article-title: Negative thermal Hall conductance in a two-dimer Shastry-Sutherland model with a
  publication-title: Phys. Rev. B
– volume: 84
  year: 2011
  ident: b247
  article-title: SU(2) slave fermion solution of the Kitaev honeycomb lattice model
  publication-title: Phys. Rev. B
– volume: 94
  year: 2016
  ident: b217
  article-title: Hidden multipolar orders of dipole-octupole doublets on a triangular lattice
  publication-title: Phys. Rev. B
– volume: 96
  year: 2017
  ident: b314
  article-title: Competition between spin liquids and valence-bond order in the frustrated spin-
  publication-title: Phys. Rev. B
– volume: 63
  year: 2001
  ident: b228
  article-title: Fractionalization, topological order, and cuprate superconductivity
  publication-title: Phys. Rev. B
– volume: 39
  start-page: 11413
  year: 1989
  end-page: 11423
  ident: b123
  article-title: Chiral spin states and superconductivity
  publication-title: Phys. Rev. B
– volume: 96
  year: 2017
  ident: b175
  article-title: Gapless magnetic excitations in the kagome antiferromagnet Ca-kapellasite probed by
  publication-title: Phys. Rev. B
– volume: 135
  start-page: A1505
  year: 1964
  end-page: A1514
  ident: b13
  article-title: Theory of thermal transport coefficients
  publication-title: Phys. Rev.
– volume: 126
  year: 2021
  ident: b45
  article-title: Sign structure of thermal Hall conductivity and topological magnons for in-plane field polarized Kitaev magnets
  publication-title: Phys. Rev. Lett.
– volume: 106
  year: 2011
  ident: b14
  article-title: Theoretical prediction of a rotating magnon wave packet in ferromagnets
  publication-title: Phys. Rev. Lett.
– volume: 108
  year: 2012
  ident: b193
  article-title: Coulombic quantum liquids in spin-
  publication-title: Phys. Rev. Lett.
– volume: 399
  start-page: 333
  year: 1999
  end-page: 335
  ident: b222
  article-title: Zero-point entropy in ‘spin ice’
  publication-title: Nature
– volume: 97
  year: 2018
  ident: b30
  article-title: Bulk and edge spin transport in topological magnon insulators
  publication-title: Phys. Rev. B
– volume: 96
  year: 2017
  ident: b140
  article-title: Detecting spin fractionalization in a spinon Fermi surface spin liquid
  publication-title: Phys. Rev. B
– volume: 117
  year: 2016
  ident: b35
  article-title: Tunable magnon weyl points in ferromagnetic pyrochlores
  publication-title: Phys. Rev. Lett.
– volume: 4
  start-page: 323
  year: 2005
  end-page: 328
  ident: b60
  article-title: Spin chirality on a two-dimensional frustrated lattice
  publication-title: Nature Mater.
– volume: 105
  year: 2022
  ident: b351
  article-title: Antiferromagnetic insulators with tunable magnon-polaron Chern numbers induced by in-plane optical phonons
  publication-title: Phys. Rev. B
– volume: 86
  start-page: 292
  year: 2001
  end-page: 295
  ident: b246
  article-title: Fractionalization in the cuprates: Detecting the topological order
  publication-title: Phys. Rev. Lett.
– volume: 123
  year: 2019
  ident: b162
  article-title: Absence of magnetic thermal conductivity in the quantum spin liquid candidate EtMe
  publication-title: Phys. Rev. Lett.
– volume: 117
  year: 2016
  ident: b272
  article-title: Fractional spin fluctuations as a precursor of quantum spin liquids: Majorana dynamical mean-field study for the kitaev model
  publication-title: Phys. Rev. Lett.
– volume: 10
  start-page: 530
  year: 2019
  ident: b282
  article-title: Emergence of a field-driven U(1) spin liquid in the Kitaev honeycomb model
  publication-title: Nature Commun.
– volume: 10
  year: 2020
  ident: b163
  article-title: Thermal hall effects of spins and phonons in kagome antiferromagnet Cd-kapellasite
  publication-title: Phys. Rev. X
– volume: 4
  start-page: 77
  year: 2011
  ident: b188
  article-title: Spinning on ice
  publication-title: Physics
– volume: 73
  year: 2006
  ident: b242
  article-title: Ordering in a frustrated pyrochlore antiferromagnet proximate to a spin liquid
  publication-title: Phys. Rev. B
– volume: 13
  year: 2022
  ident: b293
  article-title: Identification of a Kitaev quantum spin liquid by magnetic field angle dependence
  publication-title: Nature Commun.
– volume: 6
  start-page: 376
  year: 2010
  end-page: 381
  ident: b189
  article-title: Mott physics and band topology in materials with strong spin–orbit interaction
  publication-title: Nat. Phys.
– volume: 99
  year: 2019
  ident: b285
  article-title: Impact of off-diagonal exchange interactions on the Kitaev spin-liquid state of
  publication-title: Phys. Rev. B
– volume: 8
  year: 2018
  ident: b334
  article-title: Topological spin excitations in honeycomb ferromagnet
  publication-title: Phys. Rev. X
– volume: 99
  year: 2019
  ident: b110
  article-title: Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
  publication-title: Phys. Rev. B
– volume: 83
  year: 2011
  ident: b199
  article-title: Quantum fluctuations in the effective pseudospin-
  publication-title: Phys. Rev. B
– volume: 99
  year: 2019
  ident: b182
  article-title: Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
  publication-title: Phys. Rev. B
– volume: 90
  year: 2014
  ident: b266
  article-title: : A spin–orbit assisted Mott insulator on a honeycomb lattice
  publication-title: Phys. Rev. B
– volume: 119
  year: 2017
  ident: b288
  article-title: Thermal transport in the Kitaev model
  publication-title: Phys. Rev. Lett.
– volume: 2
  year: 2020
  ident: b296
  article-title: Field-induced
  publication-title: Phys. Rev. Res.
– volume: 110
  year: 2013
  ident: b308
  article-title: Weak plaquette valence bond order in the
  publication-title: Phys. Rev. Lett.
– reference: C.-J. Huang, X. Wang, Z. Wang, G. Chen, Emergent Halperin–Saslow mode, gauge glass and quenched disorders in quantum Ising magnet TmMgGaO
– volume: 95
  year: 2017
  ident: b204
  article-title: Symmetry enriched U(1) topological orders for dipole-octupole doublets on a pyrochlore lattice
  publication-title: Phys. Rev. B
– volume: 128
  year: 2022
  ident: b317
  article-title: Thermal hall effect of magnons in collinear antiferromagnetic insulators: Signatures of magnetic and topological phase transitions
  publication-title: Phys. Rev. Lett.
– volume: 22
  start-page: 5114
  year: 2022
  end-page: 5119
  ident: b38
  article-title: Evidence of magnon-mediated orbital magnetism in a quasi-2D topological magnon insulator
  publication-title: Nano Lett.
– volume: 29
  year: 2016
  ident: b50
  article-title: Magnon Hall effect without Dzyaloshinskii–Moriya interaction
  publication-title: J. Phys.: Condens. Matter
– volume: 98
  year: 2018
  ident: b43
  article-title: Topological excitations in the ferromagnetic Kitaev-Heisenberg model
  publication-title: Phys. Rev. B
– volume: 44
  start-page: 245
  year: 1971
  end-page: 252
  ident: b264
  article-title: Optical and transport properties of the magnetic semiconductor
  publication-title: Phys. Status Solidi (b)
– volume: 105
  year: 2022
  ident: b328
  article-title: Thermal Hall conductivity of electron-doped cuprates
  publication-title: Phys. Rev. B
– volume: 28
  year: 2016
  ident: b37
  article-title: A first theoretical realization of honeycomb topological magnon insulator
  publication-title: J. Phys.: Condens. Matter
– volume: 329
  start-page: 297
  year: 2010
  end-page: 299
  ident: b23
  article-title: Observation of the magnon Hall effect
  publication-title: Science
– volume: 10
  start-page: 4254
  year: 2019
  ident: b169
  article-title: Unifying description of competing orders in two-dimensional quantum magnets
  publication-title: Nature Commun.
– volume: 122
  year: 2019
  ident: b115
  article-title: Nontrivial triplon topology and triplon liquid in Kitaev-Heisenberg-type excitonic magnets
  publication-title: Phys. Rev. Lett.
– volume: 262
  start-page: 465
  year: 2003
  end-page: 471
  ident: b63
  article-title: Models for ordering in the jarosites Kagomé systems
  publication-title: J. Magn. Magn. Mater.
– volume: 102
  year: 2009
  ident: b102
  article-title: Spin-orbital singlet and quantum critical point on the diamond lattice: FeSc
  publication-title: Phys. Rev. Lett.
– volume: 95
  year: 2017
  ident: b90
  article-title: Magnetic Chern bands and triplon Hall effect in an extended Shastry-Sutherland model
  publication-title: Phys. Rev. B
– volume: 16
  start-page: 797
  year: 2017
  ident: b338
  article-title: Giant thermal hall effect in multiferroics
  publication-title: Nat. Mater.
– volume: 139
  start-page: 56001
  year: 2022
  ident: b117
  article-title: Universal excitonic superexchange in spin–orbit-coupled mott insulators
  publication-title: Europhys. Lett.
– volume: 9
  start-page: 17
  year: 2018
  end-page: 33
  ident: b135
  article-title: Physics of the Kitaev model: Fractionalization, dynamic correlations, and material connections
  publication-title: Ann. Rev. Condens. Matter Phys.
– volume: 67
  start-page: 911
  year: 1991
  end-page: 914
  ident: b150
  article-title: Disordered SU(
  publication-title: Phys. Rev. Lett.
– volume: 7
  year: 2019
  ident: b68
  article-title: Competing spin liquid phases in the S=1/2 heisenberg model on the kagome lattice
  publication-title: SciPost Phys.
– volume: 10
  start-page: 451
  year: 2019
  end-page: 472
  ident: b119
  article-title: A field guide to spin liquids
  publication-title: Ann. Rev. Condens. Matter Phys.
– volume: 95
  year: 2017
  ident: b180
  article-title: Weak ferromagnetic order breaking the threefold rotational symmetry of the underlying kagome lattice in CdCu
  publication-title: Phys. Rev. B
– volume: 75
  year: 2007
  ident: b88
  article-title: Magnon dispersion and anisotropies in SrCu
  publication-title: Phys. Rev. B
– volume: 119
  year: 2017
  ident: b275
  article-title: Dynamics of the Kitaev-Heisenberg model
  publication-title: Phys. Rev. Lett.
– volume: 97
  year: 2018
  ident: b280
  article-title: Quantum oscillations in insulators with neutral Fermi surfaces
  publication-title: Phys. Rev. B
– volume: 2
  year: 2020
  ident: b292
  article-title: Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets
  publication-title: Phys. Rev. Res.
– volume: 29
  year: 2017
  ident: b268
  article-title: Models and materials for generalized Kitaev magnetism
  publication-title: J. Phys.: Condens. Matter
– volume: 58
  start-page: 1098
  year: 1940
  end-page: 1113
  ident: b19
  article-title: Field dependence of the intrinsic domain magnetization of a ferromagnet
  publication-title: Phys. Rev.
– year: 2022
  ident: b122
  article-title: Translation-enriched
– volume: 121
  year: 2018
  ident: b290
  article-title: Quantization of the thermal Hall conductivity at small Hall angles
  publication-title: Phys. Rev. Lett.
– volume: 91
  year: 2003
  ident: b154
  article-title: Spin liquid state in an organic Mott insulator with a triangular lattice
  publication-title: Phys. Rev. Lett.
– volume: 93
  year: 2004
  ident: b74
  article-title: Topological hall effect and berry phase in magnetic nanostructures
  publication-title: Phys. Rev. Lett.
– year: 2013
  ident: b241
  article-title: Field Theories of Condensed Matter Physics
– volume: 84
  year: 2011
  ident: b15
  article-title: Rotational motion of magnons and the thermal Hall effect
  publication-title: Phys. Rev. B
– volume: 129
  year: 2022
  ident: b160
  article-title: Fractionalization on the surface: Is type-II terminated
  publication-title: Phys. Rev. Lett.
– volume: 78
  start-page: 2216
  year: 1997
  end-page: 2219
  ident: b79
  article-title: Schwinger-boson approach to quantum spin systems: Gaussian fluctuations in the natural gauge
  publication-title: Phys. Rev. Lett.
– volume: 53
  start-page: 12769
  year: 1996
  end-page: 12776
  ident: b265
  article-title: Electronic properties of the narrow-band material
  publication-title: Phys. Rev. B
– volume: 109
  year: 2012
  ident: b95
  article-title: Frustrated quantum critical theory of putative spin-liquid phenomenology in 6H-B-Ba
  publication-title: Phys. Rev. Lett.
– volume: 106
  year: 2022
  ident: b7
  article-title: Thermal conductivity and theory of inelastic scattering of phonons by collective fluctuations
  publication-title: Phys. Rev. B
– volume: 17
  start-page: 915
  year: 2021
  end-page: 919
  ident: b279
  article-title: Oscillations of the thermal conductivity in the spin-liquid state of
  publication-title: Nat. Phys.
– volume: 328
  start-page: 1246
  year: 2010
  end-page: 1248
  ident: b158
  article-title: Highly mobile gapless excitations in a two-dimensional candidate quantum spin liquid
  publication-title: Science
– volume: 34
  start-page: 195
  year: 1980
  end-page: 197
  ident: b219
  article-title: Magnetic susceptibility and crystal field parameters of ytterbium sesquiselenide
  publication-title: Solid State Commun.
– volume: 87
  year: 2013
  ident: b31
  article-title: Chiral spin-wave edge modes in dipolar magnetic thin films
  publication-title: Phys. Rev. B
– volume: 12
  start-page: 746
  year: 2016
  end-page: 750
  ident: b215
  article-title: Observation of magnetic fragmentation in spin ice
  publication-title: Nat. Phys.
– volume: 108
  year: 2012
  ident: b252
  article-title: Relevance of the heisenberg-kitaev model for the honeycomb lattice iridates
  publication-title: Phys. Rev. Lett.
– volume: 950
  start-page: 1
  year: 2022
  end-page: 37
  ident: b134
  article-title: Kitaev materials
  publication-title: Phys. Rep.
– volume: 98
  year: 2007
  ident: b58
  article-title: Unconventional anomalous hall effect enhanced by a noncoplanar spin texture in the frustrated kondo lattice
  publication-title: Phys. Rev. Lett.
– volume: 91
  year: 2015
  ident: b42
  article-title: Thermal Hall effect of spins in a paramagnet
  publication-title: Phys. Rev. B
– volume: 16
  start-page: 1108
  year: 2020
  end-page: 1111
  ident: b330
  article-title: Chiral phonons in the pseudogap phase of cuprates
  publication-title: Nat. Phys.
– year: 2011
  ident: b1
  publication-title: Introduction to Frustrated Magnetism: Materials, Experiments, Theory
– volume: 13
  start-page: 171
  year: 2022
  end-page: 190
  ident: b22
  article-title: Topological magnons: A review
  publication-title: Ann. Rev. Condens. Matter Phys.
– volume: 97
  year: 2018
  ident: b262
  article-title: Kitaev-Heisenberg Hamiltonian for high-spin
  publication-title: Phys. Rev. B
– volume: 8
  start-page: 1152
  year: 2017
  ident: b276
  article-title: Breakdown of magnons in a strongly spin–orbital coupled magnet
  publication-title: Nature Commun.
– volume: 19
  start-page: 3682
  year: 1979
  end-page: 3697
  ident: b144
  article-title: Phase diagrams of lattice gauge theories with Higgs fields
  publication-title: Phys. Rev. D
– volume: 120
  start-page: 429
  year: 1977
  end-page: 458
  ident: b124
  article-title: Quark confinement and topology of gauge theories
  publication-title: Nuclear Phys. B
– volume: 61
  start-page: 2015
  year: 1988
  end-page: 2018
  ident: b322
  article-title: Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the parity anomaly
  publication-title: Phys. Rev. Lett.
– volume: 64
  year: 2001
  ident: b227
  article-title: Detecting fractions of electrons in the high-
  publication-title: Phys. Rev. B
– volume: 99
  year: 2019
  ident: b263
  article-title: Non-Kitaev spin liquids in Kitaev materials
  publication-title: Phys. Rev. B
– volume: 99
  year: 2019
  ident: b260
  article-title: Antiferromagnetic Kitaev interaction in
  publication-title: Phys. Rev. B
– volume: 65
  year: 2002
  ident: b147
  article-title: Quantum orders and symmetric spin liquids
  publication-title: Phys. Rev. B
– volume: 15
  start-page: 1052
  year: 2019
  end-page: 1057
  ident: b206
  article-title: Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce
  publication-title: Nat. Phys.
– volume: 98
  year: 2018
  ident: b54
  article-title: Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
  publication-title: Phys. Rev. B
– year: 2021
  ident: b116
  article-title: Mott insulators with large local Hilbert spaces in quantum materials and ultracold atoms
– volume: 110
  year: 2013
  ident: b313
  article-title: Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet
  publication-title: Phys. Rev. Lett.
– volume: 118
  year: 2017
  ident: b179
  article-title: Chiral spin liquid on a kagome antiferromagnet induced by the Dzyaloshinskii-Moriya interaction
  publication-title: Phys. Rev. Lett.
– volume: 127
  year: 2021
  ident: b166
  article-title: Four-spin terms and the origin of the chiral spin liquid in mott insulators on the triangular lattice
  publication-title: Phys. Rev. Lett.
– volume: 96
  year: 2017
  ident: b234
  article-title: Spectral periodicity of the spinon continuum in quantum spin ice
  publication-title: Phys. Rev. B
– volume: 118
  year: 2017
  ident: b55
  article-title: Topological magnon bands and unconventional superconductivity in pyrochlore iridate thin films
  publication-title: Phys. Rev. Lett.
– volume: 98
  year: 2007
  ident: b65
  article-title: Projected-wave-function study of the spin-
  publication-title: Phys. Rev. Lett.
– volume: 127
  year: 2021
  ident: b316
  article-title: Topological phase transitions of Dirac magnons in honeycomb ferromagnets
  publication-title: Phys. Rev. Lett.
– volume: 85
  year: 2012
  ident: b28
  article-title: Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
  publication-title: Phys. Rev. B
– volume: 3
  year: 2019
  ident: b109
  article-title: Ni
  publication-title: Phys. Rev. Mater.
– volume: 39
  start-page: 11413
  year: 1989
  ident: 10.1016/j.physrep.2024.03.004_b123
  article-title: Chiral spin states and superconductivity
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.39.11413
– volume: 88
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b307
  article-title: Phase diagram of the spin-12 J1-J2 Heisenberg model on a honeycomb lattice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.88.165138
– volume: 95
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b204
  article-title: Symmetry enriched U(1) topological orders for dipole-octupole doublets on a pyrochlore lattice
  publication-title: Phys. Rev. B
– volume: 100
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b108
  article-title: Spin–orbital entanglement in d8 Mott insulators: Possible excitonic magnetism in diamond lattice antiferromagnets
  publication-title: Phys. Rev. B
– volume: 103
  year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b46
  article-title: Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
  publication-title: Phys. Rev. B
– volume: 89
  year: 2014
  ident: 10.1016/j.physrep.2024.03.004_b29
  article-title: Magnon Hall effect and topology in kagome lattices: A theoretical investigation
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.89.134409
– volume: 2
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b301
  article-title: Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.2.033283
– volume: 2
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b240
  article-title: Topological thermal Hall effect of magnetic monopoles in the pyrochlore U(1) spin liquid
  publication-title: Phys. Rev. Res.
– volume: 77
  year: 2014
  ident: 10.1016/j.physrep.2024.03.004_b133
  article-title: Quantum spin ice: a search for gapless quantum spin liquids in pyrochlore magnets
  publication-title: Rep. Progr. Phys.
  doi: 10.1088/0034-4885/77/5/056501
– year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b1
– volume: 73
  year: 2006
  ident: 10.1016/j.physrep.2024.03.004_b138
  article-title: Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to κ−(ET)2Cu2(CN)3
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.73.155115
– volume: 107
  year: 2023
  ident: 10.1016/j.physrep.2024.03.004_b229
  article-title: Low-temperature specific heat and heat transport of Tb2Ti2−xZrxO7 single crystals
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.107.054429
– volume: 105
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b328
  article-title: Thermal Hall conductivity of electron-doped cuprates
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.105.115101
– volume: 96
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b139
  article-title: Spinon Fermi surface U(1) spin liquid in the spin–orbit-coupled triangular-lattice Mott insulator YbMgGaO4
  publication-title: Phys. Rev. B
– volume: 74
  year: 2006
  ident: 10.1016/j.physrep.2024.03.004_b176
  article-title: Spin-liquid states on the triangular and Kagomé lattices: A projective-symmetry-group analysis of Schwinger boson states
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.74.174423
– volume: 15
  start-page: 243
  year: 2024
  ident: 10.1016/j.physrep.2024.03.004_b339
  article-title: Thermal Hall effects due to topological spin fluctuations in YMnO3
  publication-title: Nature Commun.
  doi: 10.1038/s41467-023-44448-9
– volume: 117
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b272
  article-title: Fractional spin fluctuations as a precursor of quantum spin liquids: Majorana dynamical mean-field study for the kitaev model
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.117.157203
– volume: 107
  year: 2023
  ident: 10.1016/j.physrep.2024.03.004_b120
  article-title: Nature of visons in the perturbed ferromagnetic and antiferromagnetic Kitaev honeycomb models
  publication-title: Phys. Rev. B
– volume: 95
  year: 2005
  ident: 10.1016/j.physrep.2024.03.004_b286
  article-title: Phenomenological evidence for the phonon hall effect
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.95.155901
– volume: 10
  start-page: 530
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b282
  article-title: Emergence of a field-driven U(1) spin liquid in the Kitaev honeycomb model
  publication-title: Nature Commun.
  doi: 10.1038/s41467-019-08459-9
– volume: 104
  year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b332
  article-title: Topological phase transition and thermal Hall effect in kagome ferromagnets
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.104.144422
– volume: 102
  year: 2009
  ident: 10.1016/j.physrep.2024.03.004_b102
  article-title: Spin-orbital singlet and quantum critical point on the diamond lattice: FeSc2S4
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.102.096406
– volume: 2
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b96
  article-title: Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.2.033260
– volume: 81
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b178
  article-title: Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.81.144432
– volume: 114
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b12
  article-title: Framing anomaly in the effective theory of the fractional quantum hall effect
  publication-title: Phys. Rev. Lett.
– volume: 66
  year: 2002
  ident: 10.1016/j.physrep.2024.03.004_b69
  article-title: Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagomé lattice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.66.014422
– volume: 129
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b160
  article-title: Fractionalization on the surface: Is type-II terminated 1T−TaS2 surface an anomalously realized spin liquid?
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.129.017202
– volume: 7
  start-page: 195
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b256
  article-title: Spin–orbit physics giving rise to novel phases in correlated systems: Iridates and related materials
  publication-title: Ann. Rev. Condens. Matter Phys.
  doi: 10.1146/annurev-conmatphys-031115-011319
– volume: 117
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b35
  article-title: Tunable magnon weyl points in ferromagnetic pyrochlores
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.117.157204
– volume: 95
  year: 2005
  ident: 10.1016/j.physrep.2024.03.004_b136
  article-title: U(1) gauge theory of the hubbard model: Spin liquid states and possible application to κ−(BEDT−TTF)2Cu2(CN)3
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.95.036403
– volume: 72
  year: 2005
  ident: 10.1016/j.physrep.2024.03.004_b153
  article-title: Deconfinement in the presence of a Fermi surface
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.72.245106
– volume: 105
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b351
  article-title: Antiferromagnetic insulators with tunable magnon-polaron Chern numbers induced by in-plane optical phonons
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.105.L100402
– volume: 98
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b44
  article-title: Topological magnons in Kitaev magnets at high fields
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.98.060404
– volume: 122
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b47
  article-title: Tunable magnonic thermal hall effect in skyrmion crystal phases of ferrimagnets
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.122.057204
– volume: 12
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b208
  article-title: Case for a U(1)π Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce2Zr2O7
  publication-title: Phys. Rev. X
– volume: 98
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b43
  article-title: Topological excitations in the ferromagnetic Kitaev-Heisenberg model
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.98.060405
– volume: 262
  start-page: 465
  year: 2003
  ident: 10.1016/j.physrep.2024.03.004_b63
  article-title: Models for ordering in the jarosites Kagomé systems
  publication-title: J. Magn. Magn. Mater.
  doi: 10.1016/S0304-8853(03)00079-9
– volume: 7
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b236
  article-title: Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce2Zr2O7
  publication-title: npj Quant. Mater.
  doi: 10.1038/s41535-022-00458-2
– volume: 86
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b213
  article-title: Magnetic orders and topological phases from f-d exchange in pyrochlore iridates
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.86.235129
– volume: 10
  start-page: 451
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b119
  article-title: A field guide to spin liquids
  publication-title: Ann. Rev. Condens. Matter Phys.
  doi: 10.1146/annurev-conmatphys-031218-013401
– volume: 15
  start-page: 733
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b273
  article-title: Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet
  publication-title: Nature Mater.
  doi: 10.1038/nmat4604
– volume: 571
  start-page: 376
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b327
  article-title: Giant thermal Hall conductivity in the pseudogap phase of cuprate superconductors
  publication-title: Nature
  doi: 10.1038/s41586-019-1375-0
– year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b318
– year: 2023
  ident: 10.1016/j.physrep.2024.03.004_b350
– volume: 586
  start-page: 37
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b61
  article-title: Fractional antiferromagnetic skyrmion lattice induced by anisotropic couplings
  publication-title: Nature
  doi: 10.1038/s41586-020-2716-8
– volume: 93
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b167
  article-title: Spin liquid nature in the Heisenberg J1−J2 triangular antiferromagnet
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.93.144411
– volume: 97
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b262
  article-title: Kitaev-Heisenberg Hamiltonian for high-spin d7 Mott insulators
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.97.014408
– volume: 2
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b292
  article-title: Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.2.043071
– volume: 65
  year: 2002
  ident: 10.1016/j.physrep.2024.03.004_b147
  article-title: Quantum orders and symmetric spin liquids
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.65.165113
– volume: 121
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b171
  article-title: Spin thermal hall conductivity of a kagome antiferromagnet
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.121.097203
– volume: 123
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b162
  article-title: Absence of magnetic thermal conductivity in the quantum spin liquid candidate EtMe3Sb[Pd(dmit)2]2
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.123.247204
– volume: 98
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b54
  article-title: Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.98.094419
– volume: 64
  start-page: 1222
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b36
  article-title: Asymmetric ferromagnetic criticality in pyrochlore ferromagnet Lu2V2O7
  publication-title: Science Bulletin
  doi: 10.1016/j.scib.2019.06.025
– volume: 41
  start-page: 9323
  year: 1990
  ident: 10.1016/j.physrep.2024.03.004_b84
  article-title: Bond-operator representation of quantum spins: Mean-field theory of frustrated quantum heisenberg antiferromagnets
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.41.9323
– volume: 348
  start-page: 106
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b25
  article-title: Large thermal Hall conductivity of neutral spin excitations in a frustrated quantum magnet
  publication-title: Science
  doi: 10.1126/science.1257340
– volume: 116
  start-page: 5437
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b67
  article-title: Identifying spinon excitations from dynamic structure factor of spin-1/2 heisenberg antiferromagnet on the kagome lattice
  publication-title: Proc. Natl. Acad. Sci.
  doi: 10.1073/pnas.1807840116
– volume: 93
  year: 2004
  ident: 10.1016/j.physrep.2024.03.004_b101
  article-title: Transition from mott insulator to superconductor in GaNb4Se8 and GaTa4Se8 under high pressure
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.93.126403
– volume: 97
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b280
  article-title: Quantum oscillations in insulators with neutral Fermi surfaces
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.97.045152
– volume: 90
  year: 2014
  ident: 10.1016/j.physrep.2024.03.004_b266
  article-title: α−RuCl3: A spin–orbit assisted Mott insulator on a honeycomb lattice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.90.041112
– volume: 106
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b14
  article-title: Theoretical prediction of a rotating magnon wave packet in ferromagnets
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.106.197202
– volume: 87
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b130
  article-title: Proposal to use neutron scattering to access scalar spin chirality fluctuations in kagomé lattices
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.87.064423
– volume: 9
  start-page: 17
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b135
  article-title: Physics of the Kitaev model: Fractionalization, dynamic correlations, and material connections
  publication-title: Ann. Rev. Condens. Matter Phys.
  doi: 10.1146/annurev-conmatphys-033117-053934
– volume: 124
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b212
  article-title: Order out of a Coulomb Phase and Higgs Transition: Frustrated Transverse Interactions of Nd2Zr2O7
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.124.097203
– volume: 16
  start-page: 546
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b235
  article-title: A quantum liquid of magnetic octupoles on the pyrochlore lattice
  publication-title: Nat. Phys.
  doi: 10.1038/s41567-020-0827-7
– volume: 5
  start-page: 44
  year: 2008
  ident: 10.1016/j.physrep.2024.03.004_b156
  article-title: Thermal-transport measurements in a quantum spin-liquid state of the frustrated triangular magnet α-(BEDT-TTF)2Cu2(CN)3
  publication-title: Nat. Phys.
  doi: 10.1038/nphys1134
– volume: 84
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b312
  article-title: Phase diagram of a frustrated quantum antiferromagnet on the honeycomb lattice: Magnetic order versus valence-bond crystal formation
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.84.024406
– volume: 75
  year: 2007
  ident: 10.1016/j.physrep.2024.03.004_b88
  article-title: Magnon dispersion and anisotropies in SrCu2(BO3)2
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.75.144422
– volume: 53
  start-page: 12769
  year: 1996
  ident: 10.1016/j.physrep.2024.03.004_b265
  article-title: Electronic properties of the narrow-band material α−RuCl3
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.53.12769
– volume: 9
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b161
  article-title: Thermal conductivity of the quantum spin liquid candidate EtMe3 Sb[Pd(dmit)2]2: No evidence of mobile gapless excitations
  publication-title: Phys. Rev. X
– volume: 1
  start-page: 264
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b257
  article-title: Concept and realization of Kitaev quantum spin liquids
  publication-title: Nat. Rev. Phys.
  doi: 10.1038/s42254-019-0038-2
– volume: 93
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b107
  article-title: Fragile singlet ground-state magnetism in the pyrochlore osmates R2Os2O7 (R=Y and Ho)
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.93.134426
– year: 2023
  ident: 10.1016/j.physrep.2024.03.004_b331
– volume: 124
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b18
  article-title: Universal behavior of the thermal Hall conductivity
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.124.186602
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b263
  article-title: Non-Kitaev spin liquids in Kitaev materials
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.205119
– volume: 119
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b345
  article-title: Resonant thermal hall effect of phonons coupled to dynamical defects
  publication-title: Proc. Natl. Acad. Sci.
  doi: 10.1073/pnas.2215141119
– volume: 4
  start-page: 323
  year: 2005
  ident: 10.1016/j.physrep.2024.03.004_b64
  article-title: Spin chirality on a two-dimensional frustrated lattice
  publication-title: Nature Mater.
  doi: 10.1038/nmat1353
– volume: 127
  year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b340
  article-title: Anomalous thermal hall effect in an insulating van der Waals magnet
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.127.247202
– year: 2023
  ident: 10.1016/j.physrep.2024.03.004_b238
– volume: 123
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b349
  article-title: Topological Magnon-Phonon Hybrid Excitations in Two-Dimensional Ferromagnets with Tunable Chern Numbers
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.123.237207
– volume: 555
  start-page: 638
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b39
  article-title: Massive dirac fermions in a ferromagnetic kagome metal
  publication-title: Nature
  doi: 10.1038/nature25987
– volume: 77
  year: 2008
  ident: 10.1016/j.physrep.2024.03.004_b143
  article-title: Properties of an algebraic spin liquid on the kagomé lattice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.77.224413
– volume: 64
  start-page: 1166
  year: 1990
  ident: 10.1016/j.physrep.2024.03.004_b149
  article-title: Instantons and massless fermions in (2+1)-dimensional lattice QED and antiferromagnets
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.64.1166
– volume: 98
  year: 2007
  ident: 10.1016/j.physrep.2024.03.004_b191
  article-title: Dynamically induced frustration as a route to a quantum spin ice state in Tb2Ti2O7 via virtual crystal field excitations and quantum many-body effects
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.98.157204
– volume: 96
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b140
  article-title: Detecting spin fractionalization in a spinon Fermi surface spin liquid
  publication-title: Phys. Rev. B
– volume: 78
  year: 2008
  ident: 10.1016/j.physrep.2024.03.004_b33
  article-title: Spin–orbit effects in Na4Ir3O8: A hyper-kagomé lattice antiferromagnet
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.78.094403
– volume: 98
  year: 2007
  ident: 10.1016/j.physrep.2024.03.004_b58
  article-title: Unconventional anomalous hall effect enhanced by a noncoplanar spin texture in the frustrated kondo lattice Pr2Ir2O7
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.98.057203
– volume: 10
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b181
  article-title: A series of magnon crystals appearing under ultrahigh magnetic fields in a kagomé antiferromagnet
  publication-title: Nature Commun.
  doi: 10.1038/s41467-019-09063-7
– volume: 1
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b244
  article-title: Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.1.013014
– volume: 15
  start-page: 1290
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b325
  article-title: Enhanced thermal Hall effect in the square-lattice Néel state
  publication-title: Nat. Phys.
  doi: 10.1038/s41567-019-0669-3
– volume: 2
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b111
  article-title: Intrinsic quantum Ising model on a triangular lattice magnet TmMgGaO4
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.2.043013
– volume: 328
  start-page: 1246
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b158
  article-title: Highly mobile gapless excitations in a two-dimensional candidate quantum spin liquid
  publication-title: Science
  doi: 10.1126/science.1188200
– volume: 16
  start-page: 797
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b338
  article-title: Giant thermal hall effect in multiferroics
  publication-title: Nat. Mater.
  doi: 10.1038/nmat4905
– volume: 115
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b205
  article-title: Candidate quantum spin liquid in the Ce3+ pyrochlore stannate Ce2Sn2O7
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.115.097202
– volume: 119
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b343
  article-title: Large phonon thermal Hall conductivity in the antiferromagnetic insulator Cu3TeO6
  publication-title: Proc. Natl. Acad. Sci.
– volume: 102
  year: 2009
  ident: 10.1016/j.physrep.2024.03.004_b250
  article-title: Mott insulators in the strong spin-orbit coupling limit: From heisenberg to a quantum compass and kitaev models
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.102.017205
– year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b241
– volume: 12
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b121
  article-title: Dynamics of visons and thermal hall effect in perturbed kitaev models
  publication-title: Phys. Rev. X
– volume: 34
  start-page: 195
  year: 1980
  ident: 10.1016/j.physrep.2024.03.004_b219
  article-title: Magnetic susceptibility and crystal field parameters of ytterbium sesquiselenide
  publication-title: Solid State Commun.
  doi: 10.1016/0038-1098(80)91145-X
– volume: 72
  year: 2005
  ident: 10.1016/j.physrep.2024.03.004_b142
  article-title: Algebraic spin liquid as the mother of many competing orders
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.72.104404
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b326
  article-title: Consideration of thermal Hall effect in undoped cuprates
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.205157
– volume: 559
  start-page: 227
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b249
  article-title: Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
  publication-title: Nature
  doi: 10.1038/s41586-018-0274-0
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b53
  article-title: Topological thermal hall effect driven by spin-chirality fluctuations in frustrated antiferromagnets
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.054409
– volume: 96
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b234
  article-title: Spectral periodicity of the spinon continuum in quantum spin ice
  publication-title: Phys. Rev. B
– volume: 101
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b187
  article-title: Gauge theories for the thermal Hall effect
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.101.195126
– volume: 102
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b294
  article-title: Sample dependence of half-integer quantized thermal Hall effect in the Kitaev spin-liquid candidate α−RuCl3
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.102.220404
– volume: 950
  start-page: 1
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b134
  article-title: Kitaev materials
  publication-title: Phys. Rep.
  doi: 10.1016/j.physrep.2021.11.003
– volume: 102
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b233
  article-title: Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
  publication-title: Phys. Rev. B
– volume: 17
  start-page: 915
  year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b279
  article-title: Oscillations of the thermal conductivity in the spin-liquid state of α−RuCl3
  publication-title: Nat. Phys.
  doi: 10.1038/s41567-021-01243-x
– volume: 104
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b41
  article-title: Theory of the thermal Hall effect in quantum magnets
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.104.066403
– volume: 72
  year: 2005
  ident: 10.1016/j.physrep.2024.03.004_b137
  article-title: Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in κ−(ET)2Cu2(CN)3
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.72.045105
– volume: 67
  start-page: 911
  year: 1991
  ident: 10.1016/j.physrep.2024.03.004_b150
  article-title: Disordered SU(N) antiferromagnets and the renormalization of charged instanton gases in three dimensions
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.67.911
– volume: 87
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b31
  article-title: Chiral spin-wave edge modes in dipolar magnetic thin films
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.87.174402
– volume: 109
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b95
  article-title: Frustrated quantum critical theory of putative spin-liquid phenomenology in 6H-B-Ba3NiSb2O9
  publication-title: Phys. Rev. Lett.
– volume: 4
  start-page: 323
  year: 2005
  ident: 10.1016/j.physrep.2024.03.004_b60
  article-title: Spin chirality on a two-dimensional frustrated lattice
  publication-title: Nature Mater.
  doi: 10.1038/nmat1353
– volume: 83
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b89
  article-title: Effect of Dzyaloshinskii-Moriya interactions on the phase diagram and magnetic excitations of SrCu2(BO3)2
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.83.024413
– volume: 12
  start-page: 746
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b215
  article-title: Observation of magnetic fragmentation in spin ice
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3710
– volume: 69
  year: 2004
  ident: 10.1016/j.physrep.2024.03.004_b132
  article-title: Pyrochlore photons: The U(1) spin liquid in a S=12 three-dimensional frustrated magnet
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.69.064404
– volume: 110
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b308
  article-title: Weak plaquette valence bond order in the S=1/2 honeycomb J1−J2 Heisenberg model
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.110.127205
– volume: 120
  start-page: 429
  year: 1977
  ident: 10.1016/j.physrep.2024.03.004_b124
  article-title: Quark confinement and topology of gauge theories
  publication-title: Nuclear Phys. B
  doi: 10.1016/0550-3213(77)90086-4
– year: 2023
  ident: 10.1016/j.physrep.2024.03.004_b237
– volume: 112
  year: 2014
  ident: 10.1016/j.physrep.2024.03.004_b267
  article-title: Generic spin model for the honeycomb Iridates beyond the Kitaev limit
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.112.077204
– volume: 124
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b337
  article-title: Phonon thermal hall effect in strontium titanate
  publication-title: Phys. Rev. Lett.
– volume: 303
  start-page: 2
  year: 2003
  ident: 10.1016/j.physrep.2024.03.004_b145
  article-title: Fault-tolerant quantum computation by anyons
  publication-title: Ann. Phys.
  doi: 10.1016/S0003-4916(02)00018-0
– volume: 58
  start-page: 1098
  year: 1940
  ident: 10.1016/j.physrep.2024.03.004_b19
  article-title: Field dependence of the intrinsic domain magnetization of a ferromagnet
  publication-title: Phys. Rev.
  doi: 10.1103/PhysRev.58.1098
– volume: 87
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b231
  article-title: Spin liquid regimes at nonzero temperature in quantum spin ice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.87.205130
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b110
  article-title: Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.224407
– volume: 6
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b190
  article-title: Time-Reversal Symmetric U(1) Quantum Spin Liquids
  publication-title: Phys. Rev. X
– volume: 62
  start-page: 6496
  year: 2000
  ident: 10.1016/j.physrep.2024.03.004_b202
  article-title: Thermodynamic and single-ion properties of Tb3+ within the collective paramagnetic-spin liquid state of the frustrated pyrochlore antiferromagnet Tb2Ti2O7
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.62.6496
– volume: 13
  start-page: 171
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b22
  article-title: Topological magnons: A review
  publication-title: Ann. Rev. Condens. Matter Phys.
  doi: 10.1146/annurev-conmatphys-031620-104715
– volume: 4
  start-page: 77
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b188
  article-title: Spinning on ice
  publication-title: Physics
  doi: 10.1103/Physics.4.77
– volume: 107
  year: 2023
  ident: 10.1016/j.physrep.2024.03.004_b341
  article-title: Thermal hall effect in a van der waals triangular magnet fecl2
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.107.L060404
– volume: 97
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b30
  article-title: Bulk and edge spin transport in topological magnon insulators
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.97.081106
– volume: 116
  start-page: 12199
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b283
  article-title: Magnetic field-induced intermediate quantum spin liquid with a spinon fermi surface
  publication-title: Proc. Natl. Acad. Sci.
  doi: 10.1073/pnas.1821406116
– volume: 559
  start-page: 227
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b239
  article-title: Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
  publication-title: Nature
  doi: 10.1038/s41586-018-0274-0
– volume: 107
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b17
  article-title: Energy magnetization and the thermal Hall effect
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.107.236601
– volume: 84
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b247
  article-title: SU(2) slave fermion solution of the Kitaev honeycomb lattice model
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.84.125125
– ident: 10.1016/j.physrep.2024.03.004_b112
  doi: 10.1142/S0217979224500401
– year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b284
– year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b319
– volume: 45
  start-page: 12377
  year: 1992
  ident: 10.1016/j.physrep.2024.03.004_b127
  article-title: Kagome- and triangular-lattice heisenberg antiferromagnets: Ordering from quantum fluctuations and quantum-disordered ground states with unconfined bosonic spinons
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.45.12377
– volume: 95
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b180
  article-title: Weak ferromagnetic order breaking the threefold rotational symmetry of the underlying kagome lattice in CdCu3(OH)6 (NO3)2 ⋅ H2O
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.95.094427
– volume: 87
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b24
  article-title: Topological magnon insulator in insulating ferromagnet
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.87.144101
– volume: 82
  start-page: 1743
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b6
  article-title: Colloquium: Transport in strongly correlated two dimensional electron fluids
  publication-title: Rev. Modern Phys.
  doi: 10.1103/RevModPhys.82.1743
– volume: 117
  start-page: 37006
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b52
  article-title: Topological magnetic excitations on the distorted kagomé antiferromagnets: Applications to volborthite, vesignieite, and edwardsite
  publication-title: Europhys. Lett.
  doi: 10.1209/0295-5075/117/37006
– volume: 22
  start-page: 5114
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b38
  article-title: Evidence of magnon-mediated orbital magnetism in a quasi-2D topological magnon insulator
  publication-title: Nano Lett.
  doi: 10.1021/acs.nanolett.2c00562
– volume: 100
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b304
  article-title: Chiral spin liquid with spinon Fermi surfaces in the spin-12 triangular Heisenberg model
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.100.241111
– volume: 66
  year: 2002
  ident: 10.1016/j.physrep.2024.03.004_b148
  article-title: Spin correlations in the algebraic spin liquid: Implications for high-Tc superconductors
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.66.144501
– volume: 95
  year: 2005
  ident: 10.1016/j.physrep.2024.03.004_b323
  article-title: Quantum spin Hall effect in graphene
  publication-title: Phys. Rev. Lett.
– volume: 66
  year: 2002
  ident: 10.1016/j.physrep.2024.03.004_b131
  article-title: Microscopic models for fractionalized phases in strongly correlated systems
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.66.205104
– volume: 85
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b10
  article-title: Gravitational anomalies and thermal Hall effect in topological insulators
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.85.184503
– year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b93
  article-title: Thermal hall effect of topological triplons in SrCu2(BO3)2
  publication-title: J. Phys. Soc. Japan
– volume: 235
  start-page: 1196
  year: 1987
  ident: 10.1016/j.physrep.2024.03.004_b3
  article-title: The resonating valence bond state in La2CuO4 and superconductivity
  publication-title: Science
  doi: 10.1126/science.235.4793.1196
– volume: 321
  start-page: 2
  year: 2006
  ident: 10.1016/j.physrep.2024.03.004_b4
  article-title: Anyons in an exactly solved model and beyond
  publication-title: Ann. Phys.
  doi: 10.1016/j.aop.2005.10.005
– volume: 5
  start-page: 57
  year: 2014
  ident: 10.1016/j.physrep.2024.03.004_b118
  article-title: Correlated quantum phenomena in the strong spin-orbit regime
  publication-title: Ann. Rev. Condens. Matter Phys.
  doi: 10.1146/annurev-conmatphys-020911-125138
– volume: 86
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b174
  article-title: Unusual magnetic state with dual magnetic excitations in the single crystal of S = 1/2 kagome lattice antiferromagnet CaCu3(OH)6Cl2⋅0.6H2O
  publication-title: J. Phys. Soc. Japan
  doi: 10.7566/JPSJ.86.033704
– volume: 108
  start-page: 1069
  year: 1981
  ident: 10.1016/j.physrep.2024.03.004_b83
  article-title: Exact ground state of a quantum mechanical antiferromagnet
  publication-title: Phys. B+C
  doi: 10.1016/0378-4363(81)90838-X
– volume: 356
  start-page: 1055
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b255
  article-title: Neutron scattering in the proximate quantum spin liquid α−RuCl3
  publication-title: Science
  doi: 10.1126/science.aah6015
– volume: 1
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b196
  article-title: Quantum excitations in quantum spin ice
  publication-title: Phys. Rev. X
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b260
  article-title: Antiferromagnetic Kitaev interaction in f-electron based honeycomb magnets
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.241106
– volume: 28
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b37
  article-title: A first theoretical realization of honeycomb topological magnon insulator
  publication-title: J. Phys.: Condens. Matter
– volume: 96
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b175
  article-title: Gapless magnetic excitations in the kagome antiferromagnet Ca-kapellasite probed by 35Cl NMR spectroscopy
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.96.180409
– volume: 86
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b194
  article-title: Generic quantum spin ice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.86.104412
– volume: 373
  start-page: 568
  year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b295
  article-title: Half-integer quantized anomalous thermal Hall effect in the Kitaev material candidate α−RuCl3
  publication-title: Science
  doi: 10.1126/science.aay5551
– volume: 63
  year: 2001
  ident: 10.1016/j.physrep.2024.03.004_b228
  article-title: Fractionalization, topological order, and cuprate superconductivity
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.63.134521
– volume: 97
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b300
  article-title: Robust non-Abelian spin liquid and a possible intermediate phase in the antiferromagnetic Kitaev model with magnetic field
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.97.241110
– volume: 82
  start-page: 3168
  year: 1999
  ident: 10.1016/j.physrep.2024.03.004_b82
  article-title: Exact dimer ground state and quantized magnetization plateaus in the two-dimensional spin system SrCu2(BO3)2
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.82.3168
– volume: 94
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b200
  article-title: Magnetic monopole condensation of the pyrochlore ice U(1) quantum spin liquid: Application to Pr2Ir2O7 and Yb2Ti2O7
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.94.205107
– volume: 87
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b303
  article-title: Global phase diagram of a doped Kitaev-Heisenberg model
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.87.064508
– volume: 84
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b15
  article-title: Rotational motion of magnons and the thermal Hall effect
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.84.184406
– volume: 95
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b90
  article-title: Magnetic Chern bands and triplon Hall effect in an extended Shastry-Sutherland model
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.95.195137
– volume: 120
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b278
  article-title: Unusual phonon heat transport in α−RuCl3: Strong spin-phonon scattering and field-induced spin gap
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.120.117204
– volume: 118
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b198
  article-title: Disordered route to the coulomb quantum spin liquid: Random transverse fields on spin ice in Pr2Zr2O7
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.118.107206
– volume: 135
  start-page: A1505
  year: 1964
  ident: 10.1016/j.physrep.2024.03.004_b13
  article-title: Theory of thermal transport coefficients
  publication-title: Phys. Rev.
  doi: 10.1103/PhysRev.135.A1505
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b285
  article-title: Impact of off-diagonal exchange interactions on the Kitaev spin-liquid state of α−RuCl3
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.224409
– volume: 116
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b320
  article-title: Haldane-Hubbard Mott insulator: From tetrahedral spin crystal to chiral spin liquid
  publication-title: Phys. Rev. Lett.
– volume: 3
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b109
  article-title: Ni2mo3o8: Complex antiferromagnetic order on a honeycomb lattice
  publication-title: Phys. Rev. Mater.
– volume: 94
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b217
  article-title: Hidden multipolar orders of dipole-octupole doublets on a triangular lattice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.94.201114
– volume: 92
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b72
  article-title: Symmetry-imposed shape of linear response tensors
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.92.155138
– volume: 95
  year: 2005
  ident: 10.1016/j.physrep.2024.03.004_b155
  article-title: Mott transition from a spin liquid to a Fermi liquid in the spin-frustrated organic conductor κ−(ET)2Cu2(CN)3
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.95.177001
– volume: 128
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b317
  article-title: Thermal hall effect of magnons in collinear antiferromagnetic insulators: Signatures of magnetic and topological phase transitions
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.128.117201
– volume: 8
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b289
  article-title: Approximately quantized thermal Hall effect of chiral liquids coupled to phonons
  publication-title: Phys. Rev. X
– volume: 78
  start-page: 2216
  year: 1997
  ident: 10.1016/j.physrep.2024.03.004_b79
  article-title: Schwinger-boson approach to quantum spin systems: Gaussian fluctuations in the natural gauge
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.78.2216
– volume: 13
  start-page: 1079
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b270
  article-title: Majorana fermions in the kitaev quantum spin system α-RuCl3
  publication-title: Nat. Phys.
  doi: 10.1038/nphys4264
– volume: 120
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b311
  article-title: Topologically different spin disorder phases of the J1-J2 heisenberg model on the honeycomb lattice
  publication-title: Phys. E: Low-dimensional Syst. Nanostruct.
  doi: 10.1016/j.physe.2020.114037
– volume: 89
  year: 2014
  ident: 10.1016/j.physrep.2024.03.004_b16
  article-title: Thermal Hall effect of magnons in magnets with dipolar interaction
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.89.054420
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b218
  article-title: Deviation from the dipole-ice model in the spinel spin-ice candidate MgEr2Se4
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.134438
– volume: 95
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b352
  article-title: Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.95.155131
– volume: 118
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b277
  article-title: Anomalous thermal conductivity and magnetic torque response in the honeycomb magnet α−RuCl3
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.118.187203
– volume: 96
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b201
  article-title: Dirac’s magnetic monopoles in pyrochlore ice U(1) spin liquids: Spectrum and classification
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.96.195127
– volume: 95
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b76
  article-title: Cluster multipole theory for anomalous Hall effect in antiferromagnets
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.95.094406
– volume: 114
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b253
  article-title: Scattering continuum and possible fractionalized excitations in α−RuCl3
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.114.147201
– volume: 117
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b346
  article-title: Berry curvature in magnon-phonon hybrid systems
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.117.217205
– volume: 93
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b305
  article-title: Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
  publication-title: Phys. Rev. B
– volume: 12
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b329
  article-title: Phonon thermal hall conductivity from scattering with collective fluctuations
  publication-title: Phys. Rev. X
– volume: 68
  year: 2003
  ident: 10.1016/j.physrep.2024.03.004_b203
  article-title: Understanding paramagnetic spin correlations in the spin-liquid pyrochlore Tb2Ti2O7
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.68.172407
– volume: 19
  start-page: 3682
  year: 1979
  ident: 10.1016/j.physrep.2024.03.004_b144
  article-title: Phase diagrams of lattice gauge theories with Higgs fields
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.19.3682
– volume: 24
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b216
  article-title: Crystal electric field in the R2Ti2O7 pyrochlore compounds
  publication-title: J. Phys.: Condens. Matter
– volume: 85
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b309
  article-title: Ground-state phase diagram of the quantum J1−J2 model on the honeycomb lattice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.85.060402
– volume: 10
  start-page: 4254
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b169
  article-title: Unifying description of competing orders in two-dimensional quantum magnets
  publication-title: Nature Commun.
  doi: 10.1038/s41467-019-11727-3
– volume: 87
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b232
  article-title: Discovery of emergent photon and monopoles in a quantum spin liquid
  publication-title: J. Phys. Soc. Japan
  doi: 10.7566/JPSJ.87.064702
– volume: 119
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b275
  article-title: Dynamics of the Kitaev-Heisenberg model
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.119.157203
– volume: 85
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b28
  article-title: Effect of lattice geometry on magnon Hall effect in ferromagnetic insulators
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.85.134411
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b182
  article-title: Thermal Hall effect in square-lattice spin liquids: A Schwinger boson mean-field study
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.165126
– volume: 98
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b259
  article-title: Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.98.054408
– volume: 111
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b104
  article-title: Excitonic magnetism in Van Vleck–type d4 Mott insulators
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.111.197201
– volume: 118
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b179
  article-title: Chiral spin liquid on a kagome antiferromagnet induced by the Dzyaloshinskii-Moriya interaction
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.118.267201
– volume: 115
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b27
  article-title: Topological magnon bands in a kagomé lattice ferromagnet
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.115.147201
– volume: 122
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b209
  article-title: Quantum spin ice dynamics in the dipole-octupole pyrochlore magnet Ce2Zr2O7
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.122.187201
– volume: 583
  start-page: 533
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b40
  article-title: Quantum-limit Chern topological magnetism in TbMn6Sn6
  publication-title: Nature
  doi: 10.1038/s41586-020-2482-7
– volume: 105
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b324
  article-title: Coexistence of non-abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.105.155104
– volume: 4
  start-page: 459
  year: 2008
  ident: 10.1016/j.physrep.2024.03.004_b157
  article-title: Thermodynamic properties of a spin-1/2 spin-liquid state in a κ-type organic salt
  publication-title: Nat. Phys.
  doi: 10.1038/nphys942
– volume: 145
  year: 2009
  ident: 10.1016/j.physrep.2024.03.004_b159
  article-title: 13Cl NMR study of the spin-liquid state in the triangular quantum antiferromagnet EtMe3 Sb[Pd(dmit)2]2
  publication-title: J. Phys. Conf. Ser.
  doi: 10.1088/1742-6596/145/1/012039
– volume: 105
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b192
  article-title: Quantum melting of spin ice: Emergent cooperative quadrupole and chirality
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.105.047201
– volume: 13
  start-page: 962
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b80
  article-title: 4-spin plaquette singlet state in the shastry–sutherland compound SrCu2(BO3)2
  publication-title: Nat. Phys.
  doi: 10.1038/nphys4190
– volume: 91
  year: 2003
  ident: 10.1016/j.physrep.2024.03.004_b154
  article-title: Spin liquid state in an organic Mott insulator with a triangular lattice
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.91.107001
– volume: 44
  start-page: 245
  year: 1971
  ident: 10.1016/j.physrep.2024.03.004_b264
  article-title: Optical and transport properties of the magnetic semiconductor α−RuCl3
  publication-title: Phys. Status Solidi (b)
  doi: 10.1002/pssb.2220440126
– year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b122
– volume: 62
  start-page: 7850
  year: 2000
  ident: 10.1016/j.physrep.2024.03.004_b226
  article-title: Z2 gauge theory of electron fractionalization in strongly correlated systems
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.62.7850
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b336
  article-title: Phononic thermal Hall effect in diluted terbium oxides
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.134419
– volume: 60
  start-page: 6584
  year: 1999
  ident: 10.1016/j.physrep.2024.03.004_b94
  article-title: Elementary excitations in magnetically ordered systems with orbital degeneracy
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.60.6584
– volume: 10
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b163
  article-title: Thermal hall effects of spins and phonons in kagome antiferromagnet Cd-kapellasite
  publication-title: Phys. Rev. X
– volume: 321
  start-page: 1306
  year: 2008
  ident: 10.1016/j.physrep.2024.03.004_b186
  article-title: An end to the drought of quantum spin liquids
  publication-title: Science
  doi: 10.1126/science.1163196
– volume: 122
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b115
  article-title: Nontrivial triplon topology and triplon liquid in Kitaev-Heisenberg-type excitonic magnets
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.122.177201
– volume: 93
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b98
  article-title: Cluster Mott insulators and two Curie–Weiss regimes on an anisotropic kagome lattice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.93.245134
– volume: 102
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b183
  article-title: Thermal Hall effect from a two-dimensional Schwinger boson gas with Rashba spin–orbit interaction: Application to ferromagnets with in-plane Dzyaloshinskii-Moriya interaction
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.102.214421
– volume: 8
  start-page: 1152
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b276
  article-title: Breakdown of magnons in a strongly spin–orbital coupled magnet
  publication-title: Nature Commun.
  doi: 10.1038/s41467-017-01177-0
– volume: 8
  start-page: 337
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b21
  article-title: Topological materials: Weyl semimetals
  publication-title: Ann. Rev. Condens. Matter Phys.
  doi: 10.1146/annurev-conmatphys-031016-025458
– volume: 54
  start-page: 9007
  year: 1996
  ident: 10.1016/j.physrep.2024.03.004_b78
  article-title: Valence-bond crystal phase of a frustrated spin-1/2 square-lattice antiferromagnet
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.54.9007
– volume: 13
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b293
  article-title: Identification of a Kitaev quantum spin liquid by magnetic field angle dependence
  publication-title: Nature Commun.
  doi: 10.1038/s41467-021-27943-9
– volume: 6
  start-page: 6805
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b85
  article-title: Hall effect of triplons in a dimerized quantum magnet
  publication-title: Nature Commun.
  doi: 10.1038/ncomms7805
– volume: 106
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b210
  article-title: Magnetic field effects in an octupolar quantum spin liquid candidate
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.106.094425
– volume: 119
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b288
  article-title: Thermal transport in the Kitaev model
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.119.127204
– volume: 108
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b252
  article-title: Relevance of the heisenberg-kitaev model for the honeycomb lattice iridates A2IrO3
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.108.127203
– volume: 105
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b321
  article-title: Intertwining SU(N) symmetry and frustration on a honeycomb lattice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.105.024401
– year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b211
– volume: 93
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b299
  article-title: Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.93.214431
– volume: 118
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b287
  article-title: Thermal hall effect in a phonon-glass Ba3CuSb2O9
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.118.145902
– volume: 24
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b310
  article-title: The frustrated heisenberg antiferromagnet on the honeycomb lattice: J1-J2 model
  publication-title: J. Phys.: Condens. Matter
– volume: 95
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b258
  article-title: Kitaev materials beyond iridates: Order by quantum disorder and Weyl magnons in rare-earth double perovskites
  publication-title: Phys. Rev. B
– volume: 451
  start-page: 42
  year: 2008
  ident: 10.1016/j.physrep.2024.03.004_b223
  article-title: Magnetic monopoles in spin ice
  publication-title: Nature
  doi: 10.1038/nature06433
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b297
  article-title: Large thermal Hall effect in α−RuCl3: Evidence for heat transport by Kitaev-Heisenberg paramagnons
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.085136
– volume: 8
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b334
  article-title: Topological spin excitations in honeycomb ferromagnet CrI3
  publication-title: Phys. Rev. X
– volume: 106
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b7
  article-title: Thermal conductivity and theory of inelastic scattering of phonons by collective fluctuations
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.106.245139
– volume: 115
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b26
  article-title: Thermal Hall effect of spin excitations in a kagomé magnet
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.115.106603
– volume: 70
  year: 2004
  ident: 10.1016/j.physrep.2024.03.004_b125
  article-title: Stability of U(1) spin liquids in two dimensions
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.70.214437
– volume: 294
  start-page: 1495
  year: 2001
  ident: 10.1016/j.physrep.2024.03.004_b225
  article-title: Spin ice state in frustrated magnetic pyrochlore materials
  publication-title: Science
  doi: 10.1126/science.1064761
– volume: 2
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b207
  article-title: Pyrochlore U(1) spin liquid of mixed-symmetry enrichments in magnetic fields
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.2.013334
– year: 2023
  ident: 10.1016/j.physrep.2024.03.004_b245
– volume: 121
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b290
  article-title: Quantization of the thermal Hall conductivity at small Hall angles
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.121.147201
– volume: 121
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b141
  article-title: Spinon Fermi surface in a cluster Mott insulator model on a triangular lattice and possible application to 1T−TaS2
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.121.046401
– volume: 82
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b185
  article-title: Coupled frustrated quantum spin-12 chains with orbital order in volborthite Cu3V2O7(OH)2 ⋅ 2H2O
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.82.104434
– volume: 124
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b348
  article-title: Enhanced thermal hall effect in nearly ferroelectric insulators
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.124.167601
– volume: 4
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b49
  article-title: Topological thermal Hall effect of magnons in magnetic skyrmion lattice
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.4.043085
– volume: 96
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b314
  article-title: Competition between spin liquids and valence-bond order in the frustrated spin-12 Heisenberg model on the honeycomb lattice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.96.104401
– volume: 127
  year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b316
  article-title: Topological phase transitions of Dirac magnons in honeycomb ferromagnets
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.127.217202
– volume: 96
  year: 2006
  ident: 10.1016/j.physrep.2024.03.004_b70
  article-title: Spin waves in the frustrated Kagomé lattice antiferromagnet KFe3(OH)6(SO4)2
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.96.247201
– volume: 120
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b248
  article-title: Unusual thermal hall effect in a kitaev spin liquid candidate α−RuCl3
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.120.217205
– volume: 120
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b281
  article-title: Dirac and chiral quantum spin liquids on the honeycomb lattice in a magnetic field
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.120.187201
– volume: 97
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b261
  article-title: Pseudospin exchange interactions in d7 cobalt compounds: Possible realization of the Kitaev model
  publication-title: Phys. Rev. B
– volume: 24
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b333
  article-title: Topological thermal Hall effect and magnonic edge states in kagome ferromagnets with bond anisotropy
  publication-title: New J. Phys.
  doi: 10.1088/1367-2630/ac51a8
– volume: 118
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b335
  article-title: Thermal hall effect in a phonon-glass Ba3CuSb2O9
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.118.145902
– volume: 123
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b347
  article-title: Thermal hall effect induced by magnon-phonon interactions
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.123.167202
– volume: 1
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b113
  article-title: Intrinsic transverse field in frustrated quantum ising magnets: Physical origin and quantum effects
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.1.033141
– volume: 3
  start-page: 860
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b173
  article-title: Orbital switching in a frustrated magnet
  publication-title: Nature Commun.
  doi: 10.1038/ncomms1875
– volume: 82
  start-page: 3701
  year: 1999
  ident: 10.1016/j.physrep.2024.03.004_b81
  article-title: Exact dimer ground state of the two dimensional heisenberg spin system SrCu2(BO3)2
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.82.3701
– volume: 118
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b55
  article-title: Topological magnon bands and unconventional superconductivity in pyrochlore iridate thin films
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.118.177201
– volume: 4
  start-page: 198
  year: 2008
  ident: 10.1016/j.physrep.2024.03.004_b77
  article-title: Bose–einstein condensation in magnetic insulators
  publication-title: Nat. Phys.
  doi: 10.1038/nphys893
– volume: 68
  year: 2003
  ident: 10.1016/j.physrep.2024.03.004_b152
  article-title: Absence of U(1) spin liquids in two dimensions
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.68.195110
– volume: 110
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b313
  article-title: Deconfined criticality in the frustrated Heisenberg honeycomb antiferromagnet
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.110.127203
– volume: 98
  year: 2007
  ident: 10.1016/j.physrep.2024.03.004_b65
  article-title: Projected-wave-function study of the spin-1/2 Heisenberg model on the kagomé lattice
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.98.117205
– volume: 91
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b42
  article-title: Thermal Hall effect of spins in a paramagnet
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.91.125413
– volume: 120
  start-page: 91
  year: 1960
  ident: 10.1016/j.physrep.2024.03.004_b34
  article-title: Anisotropic superexchange interaction and weak ferromagnetism
  publication-title: Phys. Rev.
  doi: 10.1103/PhysRev.120.91
– volume: 127
  year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b166
  article-title: Four-spin terms and the origin of the chiral spin liquid in mott insulators on the triangular lattice
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.127.087201
– volume: 57
  start-page: 2680
  year: 1935
  ident: 10.1016/j.physrep.2024.03.004_b224
  article-title: The structure and entropy of ice and of other crystals with some randomness of atomic arrangement
  publication-title: J. Am. Chem. Soc.
  doi: 10.1021/ja01315a102
– volume: 95
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b51
  article-title: Topological thermal Hall effect in frustrated kagomé antiferromagnets
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.95.014422
– volume: 2
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b296
  article-title: Field-induced QCD3-Chern–Simons quantum criticalities in Kitaev materials
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.2.013072
– volume: 82
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b251
  article-title: Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material Na2IrO3
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.82.064412
– volume: 13
  start-page: 736
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b91
  article-title: Topological triplon modes and bound states in a Shastry–Sutherland magnet
  publication-title: Nat. Phys.
  doi: 10.1038/nphys4117
– volume: 93
  year: 2004
  ident: 10.1016/j.physrep.2024.03.004_b74
  article-title: Topological hall effect and berry phase in magnetic nanostructures
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.93.096806
– volume: 80
  year: 2009
  ident: 10.1016/j.physrep.2024.03.004_b103
  article-title: Excitation spectrum and magnetic field effects in a quantum critical spin–orbital system: The case of FeSc2S4
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.80.224409
– volume: 117
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b315
  article-title: Realization of the Haldane-Kane–Mele model in a system of localized spins
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.117.227201
– volume: 81
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b177
  article-title: Schwinger-boson approach to the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions: Phase diagram and dynamical structure factors
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.81.064428
– volume: 71
  year: 2005
  ident: 10.1016/j.physrep.2024.03.004_b243
  article-title: Origin of artificial electrodynamics in three-dimensional bosonic models
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.71.125102
– volume: 113
  start-page: 8653
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b170
  article-title: Emergence of nontrivial magnetic excitations in a spin-liquid state of kagomé volborthite
  publication-title: Proc. Natl. Acad. Sci.
  doi: 10.1073/pnas.1524076113
– volume: 82
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b20
  article-title: Topological insulator materials
  publication-title: J. Phys. Soc. Japan
  doi: 10.7566/JPSJ.82.102001
– volume: 97
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b100
  article-title: Emergent orbitals in the cluster Mott insulator on a breathing kagome lattice
  publication-title: Phys. Rev. B
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b164
  article-title: Exact diagonalization study of the Hubbard-parametrized four-spin ring exchange model on a square lattice
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.054432
– volume: 3
  year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b73
  article-title: Twisted magnetic topological insulators
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.3.033156
– volume: 103
  year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b92
  article-title: Negative thermal Hall conductance in a two-dimer Shastry-Sutherland model with a π-flux Dirac triplon
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.103.L140404
– volume: 98
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b291
  article-title: Spin-wave analysis of the low-temperature thermal Hall effect in the candidate Kitaev spin liquid α−RuCl3
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.98.060412
– year: 2023
  ident: 10.1016/j.physrep.2024.03.004_b62
– volume: 102
  start-page: 1008
  year: 1956
  ident: 10.1016/j.physrep.2024.03.004_b221
  article-title: Ordering and antiferromagnetism in ferrites
  publication-title: Phys. Rev.
  doi: 10.1103/PhysRev.102.1008
– volume: 492
  start-page: 406
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b172
  article-title: Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet
  publication-title: Nature
  doi: 10.1038/nature11659
– volume: 84
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b105
  article-title: Spin–orbit coupling in d2 ordered double perovskites
  publication-title: Phys. Rev. B
– volume: 12
  start-page: 912
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b254
  article-title: Fermionic response from fractionalization in an insulating two-dimensional magnet
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3809
– volume: 87
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b48
  article-title: Magnetic texture-induced thermal Hall effects
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.87.024402
– volume: 87
  year: 2001
  ident: 10.1016/j.physrep.2024.03.004_b87
  article-title: Dzyaloshinski-Moriya interaction in the 2D spin gap system SrCu2(BO3)2
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.87.167205
– volume: 86
  start-page: 292
  year: 2001
  ident: 10.1016/j.physrep.2024.03.004_b246
  article-title: Fractionalization in the cuprates: Detecting the topological order
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.86.292
– volume: 91
  year: 2003
  ident: 10.1016/j.physrep.2024.03.004_b151
  article-title: Permanent confinement in the compact QED3 with fermionic matter
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.91.171601
– volume: 78
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b2
  article-title: Unusual ordered phases of highly frustrated magnets: a review
  publication-title: Rep. Progr. Phys.
  doi: 10.1088/0034-4885/78/5/052502
– volume: 463
  start-page: 210
  year: 2009
  ident: 10.1016/j.physrep.2024.03.004_b59
  article-title: Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order
  publication-title: Nature
  doi: 10.1038/nature08680
– volume: 2
  start-page: 004
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b184
  article-title: Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
  publication-title: SciPost Phys. Core
  doi: 10.21468/SciPostPhysCore.2.2.004
– volume: 332
  start-page: 1173
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b66
  article-title: Spin-liquid ground state of the S = 1/2 kagome heisenberg antiferromagnet
  publication-title: Science
  doi: 10.1126/science.1201080
– volume: 86
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b302
  article-title: Quantum phase transition in Heisenberg-Kitaev model
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.86.224417
– volume: 46
  start-page: 5621
  year: 1992
  ident: 10.1016/j.physrep.2024.03.004_b129
  article-title: Gauge theory of the normal state of high-Tc superconductors
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.46.5621
– volume: 108
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b193
  article-title: Coulombic quantum liquids in spin-1/2 pyrochlores
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.108.037202
– year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b230
– volume: 6
  start-page: 376
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b189
  article-title: Mott physics and band topology in materials with strong spin–orbit interaction
  publication-title: Nat. Phys.
  doi: 10.1038/nphys1606
– volume: 83
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b199
  article-title: Quantum fluctuations in the effective pseudospin-12 model for magnetic pyrochlore oxides
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.83.094411
– volume: 16
  start-page: 1108
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b330
  article-title: Chiral phonons in the pseudogap phase of cuprates
  publication-title: Nat. Phys.
  doi: 10.1038/s41567-020-0965-y
– volume: 64
  year: 2001
  ident: 10.1016/j.physrep.2024.03.004_b227
  article-title: Detecting fractions of electrons in the high-Tc cuprates
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.64.214511
– volume: 559
  start-page: 205
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b9
  article-title: Observation of half-integer thermal Hall conductance
  publication-title: Nature
  doi: 10.1038/s41586-018-0184-1
– volume: 112
  year: 2014
  ident: 10.1016/j.physrep.2024.03.004_b195
  article-title: Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.112.167203
– volume: 291
  start-page: 2573
  year: 2001
  ident: 10.1016/j.physrep.2024.03.004_b57
  article-title: Spin chirality, berry phase, and anomalous hall effect in a frustrated ferromagnet
  publication-title: Science
  doi: 10.1126/science.1058161
– volume: 107
  year: 2011
  ident: 10.1016/j.physrep.2024.03.004_b306
  article-title: Nature of the spin liquid state of the Hubbard model on a honeycomb lattice
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.107.087204
– volume: 5
  year: 2023
  ident: 10.1016/j.physrep.2024.03.004_b344
  article-title: Phonon thermal Hall effect in a non-Kramers paramagnet
  publication-title: Phys. Rev. Res.
  doi: 10.1103/PhysRevResearch.5.033197
– volume: 105
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b298
  article-title: Kitaev-Heisenberg model on a honeycomb lattice: Possible exotic phases in Iridium oxides A2IrO3
  publication-title: Phys. Rev. Lett.
– volume: 39
  start-page: 8988
  year: 1989
  ident: 10.1016/j.physrep.2024.03.004_b146
  article-title: Gapless fermions and gauge fields in dielectrics
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.39.8988
– volume: 55
  start-page: 15832
  year: 1997
  ident: 10.1016/j.physrep.2024.03.004_b8
  article-title: Quantized thermal transport in the fractional quantum Hall effect
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.55.15832
– year: 2024
  ident: 10.1016/j.physrep.2024.03.004_b342
  article-title: Phonon chirality from impurity scattering in the antiferromagnetic phase of Sr2IrO4
  publication-title: Nat. Phys.
  doi: 10.1038/s41567-024-02384-5
– volume: 103
  year: 2009
  ident: 10.1016/j.physrep.2024.03.004_b197
  article-title: Two-dimensional kagomé correlations and field induced order in the ferromagnetic XY pyrochlore Yb2Ti2O7
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.103.227202
– volume: 85
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b11
  article-title: Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.85.045104
– volume: 87
  year: 2013
  ident: 10.1016/j.physrep.2024.03.004_b32
  article-title: Topological chiral magnonic edge mode in a magnonic crystal
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.87.174427
– volume: 29
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b50
  article-title: Magnon Hall effect without Dzyaloshinskii–Moriya interaction
  publication-title: J. Phys.: Condens. Matter
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b71
  article-title: Thermal Hall effect in noncollinear coplanar insulating antiferromagnets
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.014427
– volume: 139
  start-page: 56001
  year: 2022
  ident: 10.1016/j.physrep.2024.03.004_b117
  article-title: Universal excitonic superexchange in spin–orbit-coupled mott insulators
  publication-title: Europhys. Lett.
  doi: 10.1209/0295-5075/ac8612
– volume: 61
  start-page: 2015
  year: 1988
  ident: 10.1016/j.physrep.2024.03.004_b322
  article-title: Model for a quantum Hall effect without Landau levels: Condensed-matter realization of the parity anomaly
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.61.2015
– volume: 82
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b114
  article-title: Exotic phases induced by strong spin–orbit coupling in ordered double perovskites
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.82.174440
– volume: 29
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b268
  article-title: Models and materials for generalized Kitaev magnetism
  publication-title: J. Phys.: Condens. Matter
– volume: 100
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b274
  article-title: Finite field regime for a quantum spin liquid in α−RuCl3
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.100.060405
– volume: 39
  start-page: 11413
  year: 1989
  ident: 10.1016/j.physrep.2024.03.004_b128
  article-title: Chiral spin states and superconductivity
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.39.11413
– volume: 98
  year: 2018
  ident: 10.1016/j.physrep.2024.03.004_b106
  article-title: Competing phases and topological excitations of spin-1 pyrochlore antiferromagnets
  publication-title: Phys. Rev. B
– volume: 80
  year: 2016
  ident: 10.1016/j.physrep.2024.03.004_b5
  article-title: Quantum spin liquids: a review
  publication-title: Rep. Progr. Phys.
– volume: 78
  year: 2008
  ident: 10.1016/j.physrep.2024.03.004_b126
  article-title: Stability of the U(1) spin liquid with a spinon Fermi surface in 2+1 dimensions
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.78.085129
– volume: 83
  start-page: 3737
  year: 1999
  ident: 10.1016/j.physrep.2024.03.004_b75
  article-title: Berry phase theory of the anomalous hall effect: Application to colossal magnetoresistance manganites
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.83.3737
– volume: 93
  year: 2004
  ident: 10.1016/j.physrep.2024.03.004_b86
  article-title: High-resolution study of spin excitations in the singlet ground state of SrCu2(BO3)2
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.93.267202
– volume: 10
  year: 2020
  ident: 10.1016/j.physrep.2024.03.004_b165
  article-title: Chiral spin liquid phase of the triangular lattice hubbard model: A density matrix renormalization group study
  publication-title: Phys. Rev. X
– volume: 126
  year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b45
  article-title: Sign structure of thermal Hall conductivity and topological magnons for in-plane field polarized Kitaev magnets
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.126.147201
– volume: 92
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b214
  article-title: Magnetic structure and crystal-field states of the pyrochlore antiferromagnet Nd2Zr2O7
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.92.224430
– volume: 399
  start-page: 333
  year: 1999
  ident: 10.1016/j.physrep.2024.03.004_b222
  article-title: Zero-point entropy in ‘spin ice’
  publication-title: Nature
  doi: 10.1038/20619
– volume: 99
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b271
  article-title: Thermodynamic evidence of fractionalized excitations in α−RuCl3
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.99.094415
– volume: 76
  year: 2007
  ident: 10.1016/j.physrep.2024.03.004_b56
  article-title: Quantum and classical spins on the spatially distorted kagomé lattice: Applications to volborthite Cu3V2O7OH2 ⋅2H2O
  publication-title: Phys. Rev. B
– volume: 7
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b68
  article-title: Competing spin liquid phases in the S=1/2 heisenberg model on the kagome lattice
  publication-title: SciPost Phys.
  doi: 10.21468/SciPostPhys.7.1.006
– volume: 73
  year: 2006
  ident: 10.1016/j.physrep.2024.03.004_b242
  article-title: Ordering in a frustrated pyrochlore antiferromagnet proximate to a spin liquid
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.73.134402
– volume: 329
  start-page: 297
  year: 2010
  ident: 10.1016/j.physrep.2024.03.004_b23
  article-title: Observation of the magnon Hall effect
  publication-title: Science
  doi: 10.1126/science.1188260
– volume: 96
  year: 2017
  ident: 10.1016/j.physrep.2024.03.004_b97
  article-title: Quantum paramagnet and frustrated quantum criticality in a spin-one diamond lattice antiferromagnet
  publication-title: Phys. Rev. B
– volume: 113
  year: 2014
  ident: 10.1016/j.physrep.2024.03.004_b99
  article-title: Fractionalized charge excitations in a spin liquid on partially filled pyrochlore lattices
  publication-title: Phys. Rev. Lett.
– volume: 108
  year: 2012
  ident: 10.1016/j.physrep.2024.03.004_b220
  article-title: Tetrahedral Magnetic Order and the Metal-Insulator Transition in the Pyrochlore Lattice of Cd2Os2O7
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.108.247205
– volume: 15
  start-page: 1052
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b206
  article-title: Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
  publication-title: Nat. Phys.
  doi: 10.1038/s41567-019-0577-6
– volume: 92
  year: 2015
  ident: 10.1016/j.physrep.2024.03.004_b269
  article-title: Monoclinic crystal structure of α−RuCl3 and the zigzag antiferromagnetic ground state
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.92.235119
– year: 2021
  ident: 10.1016/j.physrep.2024.03.004_b116
– volume: 9
  year: 2019
  ident: 10.1016/j.physrep.2024.03.004_b168
  article-title: Dynamical structure factor of the J1−J2 heisenberg model on the triangular lattice: Magnons, spinons, and gauge fields
  publication-title: Phys. Rev. X
SSID ssj0001543
Score 2.611659
SecondaryResourceType review_article
Snippet In the recent years, the thermal Hall transport has risen as an important diagnosis of the physical properties of the elementary excitations in various quantum...
SourceID crossref
elsevier
SourceType Enrichment Source
Index Database
Publisher
StartPage 1
SubjectTerms Berry curvature
Cluster Mott insulators
Exciton
Kitaev materials
Magnetic monopole
Magnon
Quantum spin ice
Quantum spin liquids
Spinon
Thermal Hall effect
Topological phase transition
Triplon
Valence bond solids
Title Thermal Hall effects in quantum magnets
URI https://dx.doi.org/10.1016/j.physrep.2024.03.004
Volume 1070
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3PS8MwFA5jIngRf-L8MXoQPGXtmqRpjmM4quIuOtitJGkiG12dW3f1bzdpU6cgCt7a0EfaL-F7L-W97wFwHfQFFRHWsB8RBnEsFRQsjiDTxruFmhJe1Vc8jqNkgu-nZNoCw6YWxqZVOu6vOb1iazfiOzT95WzmPwWIGl9GraKcFS6zmqAYU7vLe-_bNA8TItQtkmkA7dPbKh5_3rN_D1bKylaGuNY6xT_7py8-Z3QA9l2w6A3q9zkELVUcgd0qaVOuj8GNWWPDq7mX8Dz3XGaGNyu8t43Ba7PwFvylUOX6BExGt8_DBLrGB1CigJWQ9pXtvCKUJmEQc-vFtZZEs0ya8xFHMRfKXJgBLDKOlMZSI8wQyZQJwCKCTkG7eC3UGfCYDGmcEa0RQlgyIiIzA2WKhjGnsVAdgJvPTaVTBbfNKfK0Sf-apw6l1KKUBig1KHVA79NsWcti_GUQN1im39Y3NdT9u-n5_00vwJ69g1WvoUvQLlcbdWWCiFJ0q13SBTuDu4dk_AGe4MWH
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3PS8MwFA4yEb2IP_G3PSiesnVN2jQHD6KOzekubrBbbLJEJludbkO8-E_5D_rSZk5BFITdSsqj7ZfHey_le-9D6MgvSyYjanA5CjmmsdJY8jjC3EB2CwwLk6y_4qYRVVv0qh2259D7pBfG0ipd7M9jehat3UrJoVkadLulW58wyGXMTpSzg8uoY1bW9esLnNuGp7UL2OTjIKhcNs-r2EkLYEV8PsKsrK22idQmDPw4sXnSGBUa3lFwAklInEgNF7BAZSch2lBlCOUk7GgocSIrFQFxf55CuLCyCcW3Ka8EapJck5n52L7etG2o9FC0vyuetZ2TGdB8uCr9OSF-SXKVFbTsqlPvLAdgFc3pdA0tZCxRNVxHJ-BUEMh7XjXp9TxHBfG6qfc0hg0a971-cp_q0XADtWYCxyYqpI-p3kIeVwGLO6ExhBCqeCgjeALjmgVxwmKptxGdfK5Qbgy5VcPoiQnf7EE4lIRFSfhEAErbqPhpNsjncPxlEE-wFN8cSkCu-N105_-mh2ix2ry5Fte1Rn0XLdk7OBM62kOF0fNY70MFM5IHmcd46G7WLvoBbL4Bjg
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Thermal+Hall+effects+in+quantum+magnets&rft.jtitle=Physics+reports&rft.au=Zhang%2C+Xiao-Tian&rft.au=Gao%2C+Yong+Hao&rft.au=Chen%2C+Gang&rft.date=2024-06-12&rft.pub=Elsevier+B.V&rft.issn=0370-1573&rft.eissn=1873-6270&rft.volume=1070&rft.spage=1&rft.epage=59&rft_id=info:doi/10.1016%2Fj.physrep.2024.03.004&rft.externalDocID=S0370157324001194
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0370-1573&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0370-1573&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0370-1573&client=summon