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...
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Published in | Physics reports Vol. 1070; pp. 1 - 59 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
12.06.2024
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Online Access | Get full text |
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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. |
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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 |
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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 |
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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 |
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