Signatures of Wigner crystal of electrons in a monolayer semiconductor

When the Coulomb repulsion between electrons dominates over their kinetic energy, electrons in two-dimensional systems are predicted to spontaneously break continuous-translation symmetry and form a quantum crystal 1 . Efforts to observe 2 – 12 this elusive state of matter, termed a Wigner crystal,...

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Published inNature (London) Vol. 595; no. 7865; pp. 53 - 57
Main Authors Smoleński, Tomasz, Dolgirev, Pavel E., Kuhlenkamp, Clemens, Popert, Alexander, Shimazaki, Yuya, Back, Patrick, Lu, Xiaobo, Kroner, Martin, Watanabe, Kenji, Taniguchi, Takashi, Esterlis, Ilya, Demler, Eugene, Imamoğlu, Ataç
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LanguageEnglish
Published London Nature Publishing Group UK 01.07.2021
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Abstract When the Coulomb repulsion between electrons dominates over their kinetic energy, electrons in two-dimensional systems are predicted to spontaneously break continuous-translation symmetry and form a quantum crystal 1 . Efforts to observe 2 – 12 this elusive state of matter, termed a Wigner crystal, in two-dimensional extended systems have primarily focused on conductivity measurements on electrons confined to a single Landau level at high magnetic fields. Here we use optical spectroscopy to demonstrate that electrons in a monolayer semiconductor with density lower than 3 × 10 11  per centimetre squared form a Wigner crystal. The combination of a high electron effective mass and reduced dielectric screening enables us to observe electronic charge order even in the absence of a moiré potential or an external magnetic field. The interactions between a resonantly injected exciton and electrons arranged in a periodic lattice modify the exciton bandstructure so that an umklapp resonance arises in the optical reflection spectrum, heralding the presence of charge order 13 . Our findings demonstrate that charge-tunable transition metal dichalcogenide monolayers 14 enable the investigation of previously uncharted territory for many-body physics where interaction energy dominates over kinetic energy. The signature of a Wigner crystal—the analogue of a solid phase for electrons—is observed via the optical reflection spectrum in a monolayer transition metal dichalcogenide.
AbstractList When the Coulomb repulsion between electrons dominates over their kinetic energy, electrons in two-dimensional systems are predicted to spontaneously break continuous-translation symmetry and form a quantum crystal1. Efforts to observe2-12 this elusive state of matter, termed a Wigner crystal, in two-dimensional extended systems have primarily focused on conductivity measurements on electrons confined to a single Landau level at high magnetic fields. Here we use optical spectroscopy to demonstrate that electrons in a monolayer semiconductor with density lower than 3 x 1011 per centimetre squared form a Wigner crystal. The combination of a high electron effective mass and reduced dielectric screening enables us to observe electronic charge order even in the absence of a moiré potential or an external magnetic field. The interactions between a resonantly injected exciton and electrons arranged in a periodic lattice modify the exciton bandstructure so that an umklapp resonance arises in the optical reflection spectrum, heralding the presence of charge order13. Our findings demonstrate that charge-tunable transition metal dichalcogenide monolayers14 enable the investigation of previously uncharted territory for many-body physics where interaction energy dominates over kinetic energy.
When the Coulomb repulsion between electrons dominates over their kinetic energy, electrons in two-dimensional systems are predicted to spontaneously break continuous-translation symmetry and form a quantum crystal 1 . Efforts to observe 2 – 12 this elusive state of matter, termed a Wigner crystal, in two-dimensional extended systems have primarily focused on conductivity measurements on electrons confined to a single Landau level at high magnetic fields. Here we use optical spectroscopy to demonstrate that electrons in a monolayer semiconductor with density lower than 3 × 10 11  per centimetre squared form a Wigner crystal. The combination of a high electron effective mass and reduced dielectric screening enables us to observe electronic charge order even in the absence of a moiré potential or an external magnetic field. The interactions between a resonantly injected exciton and electrons arranged in a periodic lattice modify the exciton bandstructure so that an umklapp resonance arises in the optical reflection spectrum, heralding the presence of charge order 13 . Our findings demonstrate that charge-tunable transition metal dichalcogenide monolayers 14 enable the investigation of previously uncharted territory for many-body physics where interaction energy dominates over kinetic energy. The signature of a Wigner crystal—the analogue of a solid phase for electrons—is observed via the optical reflection spectrum in a monolayer transition metal dichalcogenide.
Author Demler, Eugene
Taniguchi, Takashi
Lu, Xiaobo
Shimazaki, Yuya
Imamoğlu, Ataç
Smoleński, Tomasz
Popert, Alexander
Esterlis, Ilya
Back, Patrick
Kuhlenkamp, Clemens
Watanabe, Kenji
Kroner, Martin
Dolgirev, Pavel E.
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  organization: Department of Physics, Harvard University
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  surname: Kuhlenkamp
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  organization: Institute for Quantum Electronics, ETH Zürich, Department of Physics and Institute for Advanced Study, Technical University of Munich, München Center for Quantum Science and Technology
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  orcidid: 0000-0003-3701-8119
  surname: Watanabe
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  organization: Research Center for Functional Materials, National Institute for Materials Science
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  orcidid: 0000-0002-1467-3105
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  surname: Imamoğlu
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  organization: Institute for Quantum Electronics, ETH Zürich
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Cites_doi 10.1103/PhysRevLett.66.926
10.1038/s41586-020-2085-3
10.1103/PhysRevLett.89.176802
10.1140/epjb/e2005-00145-0
10.1103/PhysRevLett.42.795
10.1103/PhysRevLett.86.870
10.1103/RevModPhys.82.1743
10.1103/PhysRevLett.113.266804
10.1103/PhysRevB.62.7553
10.1103/PhysRevLett.120.037401
10.1103/PhysRevLett.60.2765
10.1038/nphys3201
10.1103/PhysRevLett.123.097403
10.1103/PhysRevB.39.8525
10.1063/1.4770504
10.1002/pssb.201800417
10.1103/PhysRevLett.120.037402
10.1103/PhysRev.46.1002
10.1103/PhysRevB.95.115438
10.1103/PhysRevB.89.201302
10.1038/s41586-020-2868-6
10.1103/PhysRevB.46.3999
10.1038/nphys322
10.1038/nphys3949
10.1103/PhysRevB.97.235432
10.1038/s41586-019-1356-3
10.1103/PhysRevLett.117.096601
10.1063/1.4886096
10.1126/science.aat0905
10.1038/ncomms4876
10.1073/pnas.2018248117
10.1103/PhysRevB.46.7957
10.1103/PhysRevB.103.125146
10.1103/PhysRevB.50.4600
10.1103/PhysRevLett.82.1744
10.1038/s41563-020-0708-6
10.1103/PhysRevLett.115.176801
10.1103/PhysRevB.89.094112
10.1021/nn301675f
10.1103/PhysRevLett.65.2189
10.1103/PhysRevB.97.201407
10.1364/OL.44.003797
10.1103/PhysRevLett.76.499
10.1038/nnano.2013.277
10.1038/s41467-019-12180-y
10.1103/PhysRevLett.66.3285
10.1038/nphys3031
10.1038/nphys2942
10.1103/PhysRevLett.102.126402
10.1038/s41586-020-2092-4
10.1103/PhysRevB.95.035417
10.1038/s41586-020-2191-2
10.1038/s41699-018-0050-x
10.1038/nphys3203
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References Li (CR31) 2014; 113
Williams (CR6) 1991; 66
Hossain (CR18) 2020; 117
Koulakov, Fogler, Shklovskii (CR39) 1996; 76
Grimes, Adams (CR3) 1979; 42
Efimkin, MacDonald (CR55) 2018; 97
Lozovik, Yudson (CR2) 1975; 22
Knüppel (CR42) 2019; 572
Goldys (CR8) 1992; 46
Tešanović, Axel, Halperin (CR34) 1989; 39
Scuri (CR54) 2018; 120
Shimazaki (CR22) 2020; 580
Ruzin, Marianer, Shklovskii (CR35) 1992; 46
Aivazian (CR47) 2015; 11
Padhi, Chitra, Phillips (CR25) 2021; 103
Fogler, Huse (CR37) 2000; 62
Chen (CR10) 2006; 2
Andrei (CR4) 1988; 60
Efimkin, MacDonald (CR28) 2017; 95
Drummond, Needs (CR15) 2009; 102
Spivak, Kravchenko, Kivelson, Gao (CR33) 2010; 82
Regan (CR20) 2020; 579
Glazov (CR32) 2014; 89
Monarkha, Syvokon (CR50) 2012; 38
Yoon, Li, Shahar, Tsui, Shayegan (CR16) 1999; 82
Rah, Jin, Kim, Yu (CR45) 2019; 44
Zhang (CR29) 2014; 9
Wang (CR23) 2020; 19
Shimazaki (CR13) 2021; 11
Buhmann (CR7) 1991; 66
Tiemann, Rhone, Shibata, Muraki (CR11) 2014; 10
Larentis (CR30) 2018; 97
Zomer, Guimarães, Brant, Tombros, van Wees (CR41) 2014; 105
Xu (CR24) 2020; 587
Bernu, Cândido, Ceperley (CR40) 2001; 86
Sidler (CR27) 2017; 13
Srivastava (CR46) 2015; 11
Laturia, Van de Put, Vandenberghe (CR49) 2018; 2
Xu, Yao, Xiao, Heinz (CR14) 2014; 10
Zarenia, Neilson, Partoens, Peeters (CR19) 2017; 95
Qiu, Cao, Louie (CR53) 2015; 115
Shapir (CR17) 2019; 364
Goryca (CR56) 2019; 10
Chitra, Giamarchi (CR38) 2005; 44
Yu, Liu, Gong, Xu, Yao (CR52) 2014; 5
Deng (CR12) 2016; 117
Tang (CR21) 2020; 579
Ye (CR9) 2002; 89
Goldman, Santos, Shayegan, Cunningham (CR5) 1990; 65
Kim (CR48) 2012; 6
Smoleński (CR26) 2019; 123
Zhu, Littlewood, Millis (CR36) 1994; 50
Bruun, Nelson (CR51) 2014; 89
Wigner (CR1) 1934; 46
Back, Zeytinoglu, Ijaz, Kroner, Imamoğlu (CR43) 2018; 120
Lee, Jeong, Jung, Yee (CR44) 2019; 256
X Xu (3590_CR14) 2014; 10
L Tiemann (3590_CR11) 2014; 10
T Smoleński (3590_CR26) 2019; 123
Z Tešanović (3590_CR34) 1989; 39
X Zhu (3590_CR36) 1994; 50
MM Fogler (3590_CR37) 2000; 62
B Padhi (3590_CR25) 2021; 103
E Wigner (3590_CR1) 1934; 46
H Yu (3590_CR52) 2014; 5
M Sidler (3590_CR27) 2017; 13
EY Andrei (3590_CR4) 1988; 60
MS Hossain (3590_CR18) 2020; 117
R Chitra (3590_CR38) 2005; 44
Y Li (3590_CR31) 2014; 113
Y Rah (3590_CR45) 2019; 44
EM Goldys (3590_CR8) 1992; 46
B Bernu (3590_CR40) 2001; 86
FIB Williams (3590_CR6) 1991; 66
AA Koulakov (3590_CR39) 1996; 76
Y Zhang (3590_CR29) 2014; 9
GM Bruun (3590_CR51) 2014; 89
A Laturia (3590_CR49) 2018; 2
P Knüppel (3590_CR42) 2019; 572
M Goryca (3590_CR56) 2019; 10
DK Efimkin (3590_CR55) 2018; 97
P Back (3590_CR43) 2018; 120
KK Kim (3590_CR48) 2012; 6
G Aivazian (3590_CR47) 2015; 11
S Larentis (3590_CR30) 2018; 97
Y Shimazaki (3590_CR22) 2020; 580
A Srivastava (3590_CR46) 2015; 11
PD Ye (3590_CR9) 2002; 89
J Yoon (3590_CR16) 1999; 82
Y Tang (3590_CR21) 2020; 579
H Deng (3590_CR12) 2016; 117
Y Xu (3590_CR24) 2020; 587
Y Shimazaki (3590_CR13) 2021; 11
YE Lozovik (3590_CR2) 1975; 22
DK Efimkin (3590_CR28) 2017; 95
L Wang (3590_CR23) 2020; 19
VJ Goldman (3590_CR5) 1990; 65
S-Y Lee (3590_CR44) 2019; 256
DY Qiu (3590_CR53) 2015; 115
M Zarenia (3590_CR19) 2017; 95
CC Grimes (3590_CR3) 1979; 42
B Spivak (3590_CR33) 2010; 82
ND Drummond (3590_CR15) 2009; 102
PJ Zomer (3590_CR41) 2014; 105
IM Ruzin (3590_CR35) 1992; 46
G Scuri (3590_CR54) 2018; 120
YP Monarkha (3590_CR50) 2012; 38
YP Chen (3590_CR10) 2006; 2
I Shapir (3590_CR17) 2019; 364
EC Regan (3590_CR20) 2020; 579
H Buhmann (3590_CR7) 1991; 66
MM Glazov (3590_CR32) 2014; 89
References_xml – volume: 66
  start-page: 926
  year: 1991
  end-page: 929
  ident: CR7
  article-title: Novel magneto-optical behavior in the Wigner-solid regime
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.66.926
  contributor:
    fullname: Buhmann
– volume: 579
  start-page: 353
  year: 2020
  end-page: 358
  ident: CR21
  article-title: Simulation of Hubbard model physics in WSe /WS moiré superlattices
  publication-title: Nature
  doi: 10.1038/s41586-020-2085-3
  contributor:
    fullname: Tang
– volume: 89
  start-page: 176802
  year: 2002
  ident: CR9
  article-title: Correlation lengths of the Wigner-crystal order in a two-dimensional electron system at high magnetic fields
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.89.176802
  contributor:
    fullname: Ye
– volume: 44
  start-page: 455
  year: 2005
  end-page: 467
  ident: CR38
  article-title: Zero field Wigner crystal
  publication-title: Eur. Phys. J. B
  doi: 10.1140/epjb/e2005-00145-0
  contributor:
    fullname: Giamarchi
– volume: 42
  start-page: 795
  year: 1979
  end-page: 798
  ident: CR3
  article-title: Evidence for a liquid-to-crystal phase transition in a classical, two-dimensional sheet of electrons
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.42.795
  contributor:
    fullname: Adams
– volume: 86
  start-page: 870
  year: 2001
  end-page: 873
  ident: CR40
  article-title: Exchange frequencies in the 2D Wigner crystal
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.86.870
  contributor:
    fullname: Ceperley
– volume: 82
  start-page: 1743
  year: 2010
  end-page: 1766
  ident: CR33
  article-title: Transport in strongly correlated two dimensional electron fluids
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.82.1743
  contributor:
    fullname: Gao
– volume: 113
  start-page: 266804
  year: 2014
  ident: CR31
  article-title: Valley splitting and polarization by the Zeeman effect in monolayer MoSe
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.113.266804
  contributor:
    fullname: Li
– volume: 62
  start-page: 7553
  year: 2000
  end-page: 7570
  ident: CR37
  article-title: Dynamical response of a pinned two-dimensional Wigner crystal
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.62.7553
  contributor:
    fullname: Huse
– volume: 120
  start-page: 037401
  year: 2018
  ident: CR43
  article-title: Realization of an electrically tunable narrow-bandwidth atomically thin mirror using monolayer MoSe
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.120.037401
  contributor:
    fullname: Imamoğlu
– volume: 60
  start-page: 2765
  year: 1988
  end-page: 2768
  ident: CR4
  article-title: Observation of a magnetically induced Wigner solid
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.60.2765
  contributor:
    fullname: Andrei
– volume: 11
  start-page: 148
  year: 2015
  end-page: 152
  ident: CR47
  article-title: Magnetic control of valley pseudospin in monolayer WSe
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3201
  contributor:
    fullname: Aivazian
– volume: 123
  start-page: 097403
  year: 2019
  ident: CR26
  article-title: Interaction-induced Shubnikov–de Haas oscillations in optical conductivity of monolayer MoSe
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.123.097403
  contributor:
    fullname: Smoleński
– volume: 39
  start-page: 8525
  year: 1989
  end-page: 8551
  ident: CR34
  article-title: “Hall crystal” versus Wigner crystal
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.39.8525
  contributor:
    fullname: Halperin
– volume: 38
  start-page: 1067
  year: 2012
  end-page: 1095
  ident: CR50
  article-title: A two-dimensional Wigner crystal
  publication-title: Low Temp. Phys.
  doi: 10.1063/1.4770504
  contributor:
    fullname: Syvokon
– volume: 256
  start-page: 1800417
  year: 2019
  ident: CR44
  article-title: Refractive index dispersion of hexagonal boron nitride in the visible and near-infrared
  publication-title: Phys. Status Solidi B
  doi: 10.1002/pssb.201800417
  contributor:
    fullname: Yee
– volume: 120
  start-page: 037402
  year: 2018
  ident: CR54
  article-title: Large excitonic reflectivity of monolayer MoSe encapsulated in hexagonal boron nitride
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.120.037402
  contributor:
    fullname: Scuri
– volume: 46
  start-page: 1002
  year: 1934
  end-page: 1011
  ident: CR1
  article-title: On the interaction of electrons in metals
  publication-title: Phys. Rev.
  doi: 10.1103/PhysRev.46.1002
  contributor:
    fullname: Wigner
– volume: 95
  start-page: 115438
  year: 2017
  ident: CR19
  article-title: Wigner crystallization in transition metal dichalcogenides: a new approach to correlation energy
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.95.115438
  contributor:
    fullname: Peeters
– volume: 89
  start-page: 201302
  year: 2014
  ident: CR32
  article-title: Exciton fine structure and spin decoherence in monolayers of transition metal dichalcogenides
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.89.201302
  contributor:
    fullname: Glazov
– volume: 587
  start-page: 214
  year: 2020
  end-page: 218
  ident: CR24
  article-title: Correlated insulating states at fractional fillings of moiré superlattices
  publication-title: Nature
  doi: 10.1038/s41586-020-2868-6
  contributor:
    fullname: Xu
– volume: 46
  start-page: 3999
  year: 1992
  end-page: 4008
  ident: CR35
  article-title: Pinning of a two-dimensional Wigner crystal by charged impurities
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.46.3999
  contributor:
    fullname: Shklovskii
– volume: 2
  start-page: 452
  year: 2006
  end-page: 455
  ident: CR10
  article-title: Melting of a 2D quantum electron solid in high magnetic field
  publication-title: Nat. Phys.
  doi: 10.1038/nphys322
  contributor:
    fullname: Chen
– volume: 13
  start-page: 255
  year: 2017
  end-page: 261
  ident: CR27
  article-title: Fermi polaron-polaritons in charge-tunable atomically thin semiconductors
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3949
  contributor:
    fullname: Sidler
– volume: 97
  start-page: 235432
  year: 2018
  ident: CR55
  article-title: Exciton-polarons in doped semiconductors in a strong magnetic field
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.97.235432
  contributor:
    fullname: MacDonald
– volume: 572
  start-page: 91
  year: 2019
  end-page: 94
  ident: CR42
  article-title: Nonlinear optics in the fractional quantum Hall regime
  publication-title: Nature
  doi: 10.1038/s41586-019-1356-3
  contributor:
    fullname: Knüppel
– volume: 117
  start-page: 096601
  year: 2016
  ident: CR12
  article-title: Commensurability oscillations of composite fermions induced by the periodic potential of a Wigner crystal
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.117.096601
  contributor:
    fullname: Deng
– volume: 105
  start-page: 013101
  year: 2014
  ident: CR41
  article-title: Fast pick up technique for high quality heterostructures of bilayer graphene and hexagonal boron nitride
  publication-title: Appl. Phys. Lett.
  doi: 10.1063/1.4886096
  contributor:
    fullname: van Wees
– volume: 364
  start-page: 870
  year: 2019
  end-page: 875
  ident: CR17
  article-title: Imaging the electronic Wigner crystal in one dimension
  publication-title: Science
  doi: 10.1126/science.aat0905
  contributor:
    fullname: Shapir
– volume: 5
  year: 2014
  ident: CR52
  article-title: Dirac cones and Dirac saddle points of bright excitons in monolayer transition metal dichalcogenides
  publication-title: Nat. Commun.
  doi: 10.1038/ncomms4876
  contributor:
    fullname: Yao
– volume: 117
  start-page: 32244
  year: 2020
  end-page: 32250
  ident: CR18
  article-title: Observation of spontaneous ferromagnetism in a two-dimensional electron system
  publication-title: Proc. Natl Acad. Sci. USA
  doi: 10.1073/pnas.2018248117
  contributor:
    fullname: Hossain
– volume: 46
  start-page: 7957
  year: 1992
  end-page: 7960
  ident: CR8
  article-title: Magneto-optical probe of two-dimensional electron liquid and solid phases
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.46.7957
  contributor:
    fullname: Goldys
– volume: 103
  start-page: 125146
  year: 2021
  ident: CR25
  article-title: Generalized Wigner crystallization in moiré materials
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.103.125146
  contributor:
    fullname: Phillips
– volume: 50
  start-page: 4600
  year: 1994
  end-page: 4621
  ident: CR36
  article-title: Sliding motion of a two-dimensional Wigner crystal in a strong magnetic field
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.50.4600
  contributor:
    fullname: Millis
– volume: 82
  start-page: 1744
  year: 1999
  end-page: 1747
  ident: CR16
  article-title: Wigner crystallization and metal–insulator transition of two-dimensional holes in GaAs at = 0
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.82.1744
  contributor:
    fullname: Shayegan
– volume: 19
  start-page: 861
  year: 2020
  end-page: 866
  ident: CR23
  article-title: Correlated electronic phases in twisted bilayer transition metal dichalcogenides
  publication-title: Nat. Mater.
  doi: 10.1038/s41563-020-0708-6
  contributor:
    fullname: Wang
– volume: 115
  start-page: 176801
  year: 2015
  ident: CR53
  article-title: Nonanalyticity, valley quantum phases, and lightlike exciton dispersion in monolayer transition metal dichalcogenides: theory and first-principles calculations
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.115.176801
  contributor:
    fullname: Louie
– volume: 89
  start-page: 094112
  year: 2014
  ident: CR51
  article-title: Quantum hexatic order in two-dimensional dipolar and charged fluids
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.89.094112
  contributor:
    fullname: Nelson
– volume: 6
  start-page: 8583
  year: 2012
  end-page: 8590
  ident: CR48
  article-title: Synthesis and characterization of hexagonal boron nitride film as a dielectric layer for graphene devices
  publication-title: ACS Nano
  doi: 10.1021/nn301675f
  contributor:
    fullname: Kim
– volume: 65
  start-page: 2189
  year: 1990
  end-page: 2192
  ident: CR5
  article-title: Evidence for two-dimentional quantum Wigner crystal
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.65.2189
  contributor:
    fullname: Cunningham
– volume: 97
  start-page: 201407
  year: 2018
  ident: CR30
  article-title: Large effective mass and interaction-enhanced Zeeman splitting of -valley electrons in MoSe
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.97.201407
  contributor:
    fullname: Larentis
– volume: 44
  start-page: 3797
  year: 2019
  end-page: 3800
  ident: CR45
  article-title: Optical analysis of the refractive index and birefringence of hexagonal boron nitride from the visible to near-infrared
  publication-title: Opt. Lett.
  doi: 10.1364/OL.44.003797
  contributor:
    fullname: Yu
– volume: 76
  start-page: 499
  year: 1996
  end-page: 502
  ident: CR39
  article-title: Charge density wave in two-dimensional electron liquid in weak magnetic field
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.76.499
  contributor:
    fullname: Shklovskii
– volume: 9
  start-page: 111
  year: 2014
  end-page: 115
  ident: CR29
  article-title: Direct observation of the transition from indirect to direct bandgap in atomically thin epitaxial MoSe
  publication-title: Nat. Nanotech.
  doi: 10.1038/nnano.2013.277
  contributor:
    fullname: Zhang
– volume: 10
  year: 2019
  ident: CR56
  article-title: Revealing exciton masses and dielectric properties of monolayer semiconductors with high magnetic fields
  publication-title: Nat. Commun.
  doi: 10.1038/s41467-019-12180-y
  contributor:
    fullname: Goryca
– volume: 66
  start-page: 3285
  year: 1991
  end-page: 3288
  ident: CR6
  article-title: Conduction threshold and pinning frequency of magnetically induced Wigner solid
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.66.3285
  contributor:
    fullname: Williams
– volume: 11
  start-page: 021027
  year: 2021
  ident: CR13
  article-title: Optical signatures of periodic charge distribution in a Mott-like correlated insulator state
  publication-title: Phys. Rev. X
  contributor:
    fullname: Shimazaki
– volume: 10
  start-page: 648
  year: 2014
  end-page: 652
  ident: CR11
  article-title: NMR profiling of quantum electron solids in high magnetic fields
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3031
  contributor:
    fullname: Muraki
– volume: 10
  start-page: 343
  year: 2014
  end-page: 350
  ident: CR14
  article-title: Spin and pseudospins in layered transition metal dichalcogenides
  publication-title: Nat. Phys.
  doi: 10.1038/nphys2942
  contributor:
    fullname: Heinz
– volume: 102
  start-page: 126402
  year: 2009
  ident: CR15
  article-title: Phase diagram of the low-density two-dimensional homogeneous electron gas
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.102.126402
  contributor:
    fullname: Needs
– volume: 579
  start-page: 359
  year: 2020
  end-page: 363
  ident: CR20
  article-title: Mott and generalized Wigner crystal states in WSe /WS moiré superlattices
  publication-title: Nature
  doi: 10.1038/s41586-020-2092-4
  contributor:
    fullname: Regan
– volume: 95
  start-page: 035417
  year: 2017
  ident: CR28
  article-title: Many-body theory of trion absorption features in two-dimensional semiconductors
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.95.035417
  contributor:
    fullname: MacDonald
– volume: 580
  start-page: 472
  year: 2020
  end-page: 477
  ident: CR22
  article-title: Strongly correlated electrons and hybrid excitons in a moiré heterostructure
  publication-title: Nature
  doi: 10.1038/s41586-020-2191-2
  contributor:
    fullname: Shimazaki
– volume: 2
  year: 2018
  ident: CR49
  article-title: Dielectric properties of hexagonal boron nitride and transition metal dichalcogenides: from monolayer to bulk
  publication-title: npj 2D Mater. Appl.
  doi: 10.1038/s41699-018-0050-x
  contributor:
    fullname: Vandenberghe
– volume: 11
  start-page: 141
  year: 2015
  end-page: 147
  ident: CR46
  article-title: Valley Zeeman effect in elementary optical excitations of monolayer WSe
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3203
  contributor:
    fullname: Srivastava
– volume: 22
  start-page: 11
  year: 1975
  end-page: 12
  ident: CR2
  article-title: Crystallization of a two-dimensional electron gas in a magnetic field
  publication-title: J. Exp. Theor. Phys. Lett.
  contributor:
    fullname: Yudson
– volume: 256
  start-page: 1800417
  year: 2019
  ident: 3590_CR44
  publication-title: Phys. Status Solidi B
  doi: 10.1002/pssb.201800417
  contributor:
    fullname: S-Y Lee
– volume: 579
  start-page: 353
  year: 2020
  ident: 3590_CR21
  publication-title: Nature
  doi: 10.1038/s41586-020-2085-3
  contributor:
    fullname: Y Tang
– volume: 580
  start-page: 472
  year: 2020
  ident: 3590_CR22
  publication-title: Nature
  doi: 10.1038/s41586-020-2191-2
  contributor:
    fullname: Y Shimazaki
– volume: 11
  start-page: 148
  year: 2015
  ident: 3590_CR47
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3201
  contributor:
    fullname: G Aivazian
– volume: 66
  start-page: 926
  year: 1991
  ident: 3590_CR7
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.66.926
  contributor:
    fullname: H Buhmann
– volume: 89
  start-page: 176802
  year: 2002
  ident: 3590_CR9
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.89.176802
  contributor:
    fullname: PD Ye
– volume: 19
  start-page: 861
  year: 2020
  ident: 3590_CR23
  publication-title: Nat. Mater.
  doi: 10.1038/s41563-020-0708-6
  contributor:
    fullname: L Wang
– volume: 102
  start-page: 126402
  year: 2009
  ident: 3590_CR15
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.102.126402
  contributor:
    fullname: ND Drummond
– volume: 97
  start-page: 235432
  year: 2018
  ident: 3590_CR55
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.97.235432
  contributor:
    fullname: DK Efimkin
– volume: 10
  start-page: 343
  year: 2014
  ident: 3590_CR14
  publication-title: Nat. Phys.
  doi: 10.1038/nphys2942
  contributor:
    fullname: X Xu
– volume: 2
  year: 2018
  ident: 3590_CR49
  publication-title: npj 2D Mater. Appl.
  doi: 10.1038/s41699-018-0050-x
  contributor:
    fullname: A Laturia
– volume: 42
  start-page: 795
  year: 1979
  ident: 3590_CR3
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.42.795
  contributor:
    fullname: CC Grimes
– volume: 38
  start-page: 1067
  year: 2012
  ident: 3590_CR50
  publication-title: Low Temp. Phys.
  doi: 10.1063/1.4770504
  contributor:
    fullname: YP Monarkha
– volume: 364
  start-page: 870
  year: 2019
  ident: 3590_CR17
  publication-title: Science
  doi: 10.1126/science.aat0905
  contributor:
    fullname: I Shapir
– volume: 82
  start-page: 1743
  year: 2010
  ident: 3590_CR33
  publication-title: Rev. Mod. Phys.
  doi: 10.1103/RevModPhys.82.1743
  contributor:
    fullname: B Spivak
– volume: 50
  start-page: 4600
  year: 1994
  ident: 3590_CR36
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.50.4600
  contributor:
    fullname: X Zhu
– volume: 46
  start-page: 1002
  year: 1934
  ident: 3590_CR1
  publication-title: Phys. Rev.
  doi: 10.1103/PhysRev.46.1002
  contributor:
    fullname: E Wigner
– volume: 66
  start-page: 3285
  year: 1991
  ident: 3590_CR6
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.66.3285
  contributor:
    fullname: FIB Williams
– volume: 89
  start-page: 094112
  year: 2014
  ident: 3590_CR51
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.89.094112
  contributor:
    fullname: GM Bruun
– volume: 5
  year: 2014
  ident: 3590_CR52
  publication-title: Nat. Commun.
  doi: 10.1038/ncomms4876
  contributor:
    fullname: H Yu
– volume: 120
  start-page: 037401
  year: 2018
  ident: 3590_CR43
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.120.037401
  contributor:
    fullname: P Back
– volume: 76
  start-page: 499
  year: 1996
  ident: 3590_CR39
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.76.499
  contributor:
    fullname: AA Koulakov
– volume: 95
  start-page: 115438
  year: 2017
  ident: 3590_CR19
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.95.115438
  contributor:
    fullname: M Zarenia
– volume: 44
  start-page: 3797
  year: 2019
  ident: 3590_CR45
  publication-title: Opt. Lett.
  doi: 10.1364/OL.44.003797
  contributor:
    fullname: Y Rah
– volume: 46
  start-page: 7957
  year: 1992
  ident: 3590_CR8
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.46.7957
  contributor:
    fullname: EM Goldys
– volume: 10
  start-page: 648
  year: 2014
  ident: 3590_CR11
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3031
  contributor:
    fullname: L Tiemann
– volume: 11
  start-page: 021027
  year: 2021
  ident: 3590_CR13
  publication-title: Phys. Rev. X
  contributor:
    fullname: Y Shimazaki
– volume: 95
  start-page: 035417
  year: 2017
  ident: 3590_CR28
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.95.035417
  contributor:
    fullname: DK Efimkin
– volume: 6
  start-page: 8583
  year: 2012
  ident: 3590_CR48
  publication-title: ACS Nano
  doi: 10.1021/nn301675f
  contributor:
    fullname: KK Kim
– volume: 46
  start-page: 3999
  year: 1992
  ident: 3590_CR35
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.46.3999
  contributor:
    fullname: IM Ruzin
– volume: 44
  start-page: 455
  year: 2005
  ident: 3590_CR38
  publication-title: Eur. Phys. J. B
  doi: 10.1140/epjb/e2005-00145-0
  contributor:
    fullname: R Chitra
– volume: 82
  start-page: 1744
  year: 1999
  ident: 3590_CR16
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.82.1744
  contributor:
    fullname: J Yoon
– volume: 97
  start-page: 201407
  year: 2018
  ident: 3590_CR30
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.97.201407
  contributor:
    fullname: S Larentis
– volume: 22
  start-page: 11
  year: 1975
  ident: 3590_CR2
  publication-title: J. Exp. Theor. Phys. Lett.
  contributor:
    fullname: YE Lozovik
– volume: 86
  start-page: 870
  year: 2001
  ident: 3590_CR40
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.86.870
  contributor:
    fullname: B Bernu
– volume: 117
  start-page: 32244
  year: 2020
  ident: 3590_CR18
  publication-title: Proc. Natl Acad. Sci. USA
  doi: 10.1073/pnas.2018248117
  contributor:
    fullname: MS Hossain
– volume: 103
  start-page: 125146
  year: 2021
  ident: 3590_CR25
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.103.125146
  contributor:
    fullname: B Padhi
– volume: 587
  start-page: 214
  year: 2020
  ident: 3590_CR24
  publication-title: Nature
  doi: 10.1038/s41586-020-2868-6
  contributor:
    fullname: Y Xu
– volume: 65
  start-page: 2189
  year: 1990
  ident: 3590_CR5
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.65.2189
  contributor:
    fullname: VJ Goldman
– volume: 2
  start-page: 452
  year: 2006
  ident: 3590_CR10
  publication-title: Nat. Phys.
  doi: 10.1038/nphys322
  contributor:
    fullname: YP Chen
– volume: 579
  start-page: 359
  year: 2020
  ident: 3590_CR20
  publication-title: Nature
  doi: 10.1038/s41586-020-2092-4
  contributor:
    fullname: EC Regan
– volume: 39
  start-page: 8525
  year: 1989
  ident: 3590_CR34
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.39.8525
  contributor:
    fullname: Z Tešanović
– volume: 62
  start-page: 7553
  year: 2000
  ident: 3590_CR37
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.62.7553
  contributor:
    fullname: MM Fogler
– volume: 13
  start-page: 255
  year: 2017
  ident: 3590_CR27
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3949
  contributor:
    fullname: M Sidler
– volume: 123
  start-page: 097403
  year: 2019
  ident: 3590_CR26
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.123.097403
  contributor:
    fullname: T Smoleński
– volume: 89
  start-page: 201302
  year: 2014
  ident: 3590_CR32
  publication-title: Phys. Rev. B
  doi: 10.1103/PhysRevB.89.201302
  contributor:
    fullname: MM Glazov
– volume: 10
  year: 2019
  ident: 3590_CR56
  publication-title: Nat. Commun.
  doi: 10.1038/s41467-019-12180-y
  contributor:
    fullname: M Goryca
– volume: 113
  start-page: 266804
  year: 2014
  ident: 3590_CR31
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.113.266804
  contributor:
    fullname: Y Li
– volume: 117
  start-page: 096601
  year: 2016
  ident: 3590_CR12
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.117.096601
  contributor:
    fullname: H Deng
– volume: 11
  start-page: 141
  year: 2015
  ident: 3590_CR46
  publication-title: Nat. Phys.
  doi: 10.1038/nphys3203
  contributor:
    fullname: A Srivastava
– volume: 60
  start-page: 2765
  year: 1988
  ident: 3590_CR4
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.60.2765
  contributor:
    fullname: EY Andrei
– volume: 9
  start-page: 111
  year: 2014
  ident: 3590_CR29
  publication-title: Nat. Nanotech.
  doi: 10.1038/nnano.2013.277
  contributor:
    fullname: Y Zhang
– volume: 572
  start-page: 91
  year: 2019
  ident: 3590_CR42
  publication-title: Nature
  doi: 10.1038/s41586-019-1356-3
  contributor:
    fullname: P Knüppel
– volume: 115
  start-page: 176801
  year: 2015
  ident: 3590_CR53
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.115.176801
  contributor:
    fullname: DY Qiu
– volume: 120
  start-page: 037402
  year: 2018
  ident: 3590_CR54
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.120.037402
  contributor:
    fullname: G Scuri
– volume: 105
  start-page: 013101
  year: 2014
  ident: 3590_CR41
  publication-title: Appl. Phys. Lett.
  doi: 10.1063/1.4886096
  contributor:
    fullname: PJ Zomer
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Snippet When the Coulomb repulsion between electrons dominates over their kinetic energy, electrons in two-dimensional systems are predicted to spontaneously break...
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SubjectTerms 140/125
639/301/119/995
639/301/119/999
Crystals
Electrons
Energy
Excitons
Humanities and Social Sciences
Kinetic energy
Magnetic fields
Monolayers
multidisciplinary
Optical reflection
Phase transitions
Science
Science (multidisciplinary)
Semiconductors
Spectroscopy
Spectrum analysis
Symmetry
Transition metal compounds
Title Signatures of Wigner crystal of electrons in a monolayer semiconductor
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