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 in | Nature (London) Vol. 595; no. 7865; pp. 53 - 57 |
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Main Authors | , , , , , , , , , , , , |
Format | Journal Article |
Language | English |
Published |
London
Nature Publishing Group UK
01.07.2021
Nature Publishing Group |
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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. |
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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. |
Author_xml | – sequence: 1 givenname: Tomasz orcidid: 0000-0002-4706-7777 surname: Smoleński fullname: Smoleński, Tomasz email: tomaszs@phys.ethz.ch organization: Institute for Quantum Electronics, ETH Zürich – sequence: 2 givenname: Pavel E. surname: Dolgirev fullname: Dolgirev, Pavel E. organization: Department of Physics, Harvard University – sequence: 3 givenname: Clemens surname: Kuhlenkamp fullname: Kuhlenkamp, Clemens 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 – sequence: 4 givenname: Alexander surname: Popert fullname: Popert, Alexander organization: Institute for Quantum Electronics, ETH Zürich – sequence: 5 givenname: Yuya orcidid: 0000-0002-5315-6813 surname: Shimazaki fullname: Shimazaki, Yuya organization: Institute for Quantum Electronics, ETH Zürich – sequence: 6 givenname: Patrick surname: Back fullname: Back, Patrick organization: Institute for Quantum Electronics, ETH Zürich – sequence: 7 givenname: Xiaobo orcidid: 0000-0003-3149-4755 surname: Lu fullname: Lu, Xiaobo organization: Institute for Quantum Electronics, ETH Zürich – sequence: 8 givenname: Martin surname: Kroner fullname: Kroner, Martin organization: Institute for Quantum Electronics, ETH Zürich – sequence: 9 givenname: Kenji orcidid: 0000-0003-3701-8119 surname: Watanabe fullname: Watanabe, Kenji organization: Research Center for Functional Materials, National Institute for Materials Science – sequence: 10 givenname: Takashi orcidid: 0000-0002-1467-3105 surname: Taniguchi fullname: Taniguchi, Takashi organization: International Center for Materials Nanoarchitectonics, National Institute for Materials Science – sequence: 11 givenname: Ilya surname: Esterlis fullname: Esterlis, Ilya organization: Department of Physics, Harvard University – sequence: 12 givenname: Eugene surname: Demler fullname: Demler, Eugene email: demler@physics.harvard.edu organization: Department of Physics, Harvard University, Institute for Theoretical Physics, ETH Zürich – sequence: 13 givenname: Ataç orcidid: 0000-0002-0641-1631 surname: Imamoğlu fullname: Imamoğlu, Ataç email: imamoglu@phys.ethz.ch organization: Institute for Quantum Electronics, ETH Zürich |
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Copyright | The Author(s), under exclusive licence to Springer Nature Limited 2021 Copyright Nature Publishing Group Jul 1, 2021 |
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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 |
URI | https://link.springer.com/article/10.1038/s41586-021-03590-4 https://www.proquest.com/docview/2548717123 https://search.proquest.com/docview/2547532714 |
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