Critical gate distance for Wigner crystallization in the two-dimensional electron gas
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866909981432872960 |
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| author | Valenti, Agnes Calvera, Vladimir Yang, Yubo Morales, Miguel A. Kivelson, Steven A. Esterlis, Ilya Zhang, Shiwei |
| author_facet | Valenti, Agnes Calvera, Vladimir Yang, Yubo Morales, Miguel A. Kivelson, Steven A. Esterlis, Ilya Zhang, Shiwei |
| contents | We report on the properties of the two-dimensional electron gas in a dual-gate geometry, using quantum Monte Carlo methods to obtain aspects of the phase diagram as a function of electron density and gate distance. We identify the critical gate distance below which the Wigner crystal phase disappears. For larger gate distances, the system undergoes a re-entrant transition from crystal to liquid at sufficiently low density. We also present preliminary evidence for a fully polarized ferromagnetic liquid state at low electron density and intermediate gate distances. The quantum Monte Carlo results are compared with simpler approximate methods, which are shown to be semi-quantitatively reliable for determining key features of the phase diagram. These methods are then used to obtain the phase boundary between the Wigner crystal and liquid in the single-gate geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_16430 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Critical gate distance for Wigner crystallization in the two-dimensional electron gas Valenti, Agnes Calvera, Vladimir Yang, Yubo Morales, Miguel A. Kivelson, Steven A. Esterlis, Ilya Zhang, Shiwei Strongly Correlated Electrons Mesoscale and Nanoscale Physics Statistical Mechanics We report on the properties of the two-dimensional electron gas in a dual-gate geometry, using quantum Monte Carlo methods to obtain aspects of the phase diagram as a function of electron density and gate distance. We identify the critical gate distance below which the Wigner crystal phase disappears. For larger gate distances, the system undergoes a re-entrant transition from crystal to liquid at sufficiently low density. We also present preliminary evidence for a fully polarized ferromagnetic liquid state at low electron density and intermediate gate distances. The quantum Monte Carlo results are compared with simpler approximate methods, which are shown to be semi-quantitatively reliable for determining key features of the phase diagram. These methods are then used to obtain the phase boundary between the Wigner crystal and liquid in the single-gate geometry. |
| title | Critical gate distance for Wigner crystallization in the two-dimensional electron gas |
| topic | Strongly Correlated Electrons Mesoscale and Nanoscale Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2501.16430 |