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Auteurs principaux: Smith, Conor, Chen, Yixiao, Levy, Ryan, Yang, Yubo, Morales, Miguel A., Zhang, Shiwei
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2405.19397
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author Smith, Conor
Chen, Yixiao
Levy, Ryan
Yang, Yubo
Morales, Miguel A.
Zhang, Shiwei
author_facet Smith, Conor
Chen, Yixiao
Levy, Ryan
Yang, Yubo
Morales, Miguel A.
Zhang, Shiwei
contents The two-dimensional electron gas (2DEG) is a fundamental model, which is drawing increasing interest because of recent advances in experimental and theoretical studies of 2D materials. Current understanding of the ground state of the 2DEG relies on quantum Monte Carlo calculations, based on variational comparisons of different ansatze for different phases. We use a single variational ansatz, a general backflow-type wave function using a message-passing neural quantum state architecture, for a unified description across the entire density range. The variational optimization consistently leads to lower ground-state energies than previous best results. Transition into a Wigner crystal (WC) phase occurs automatically at rs = 37 +/- 1, a density lower than currently believed. Between the liquid and WC phases, the same ansatz and variational search strongly suggest the existence of intermediate states in a broad range of densities, with enhanced short-range nematic spin correlations.
format Preprint
id arxiv_https___arxiv_org_abs_2405_19397
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Ground state phases of the two-dimension electron gas with a unified variational approach
Smith, Conor
Chen, Yixiao
Levy, Ryan
Yang, Yubo
Morales, Miguel A.
Zhang, Shiwei
Strongly Correlated Electrons
Machine Learning
Computational Physics
Quantum Physics
The two-dimensional electron gas (2DEG) is a fundamental model, which is drawing increasing interest because of recent advances in experimental and theoretical studies of 2D materials. Current understanding of the ground state of the 2DEG relies on quantum Monte Carlo calculations, based on variational comparisons of different ansatze for different phases. We use a single variational ansatz, a general backflow-type wave function using a message-passing neural quantum state architecture, for a unified description across the entire density range. The variational optimization consistently leads to lower ground-state energies than previous best results. Transition into a Wigner crystal (WC) phase occurs automatically at rs = 37 +/- 1, a density lower than currently believed. Between the liquid and WC phases, the same ansatz and variational search strongly suggest the existence of intermediate states in a broad range of densities, with enhanced short-range nematic spin correlations.
title Ground state phases of the two-dimension electron gas with a unified variational approach
topic Strongly Correlated Electrons
Machine Learning
Computational Physics
Quantum Physics
url https://arxiv.org/abs/2405.19397