Machine learning nonequilibrium phase transitions in charge-density wave insulators

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Hauptverfasser: Fan, Yunhao, Zhang, Sheng, Chern, Gia-Wei
Format: Preprint
Veröffentlicht: 2026
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author Fan, Yunhao
Zhang, Sheng
Chern, Gia-Wei
author_facet Fan, Yunhao
Zhang, Sheng
Chern, Gia-Wei
contents Nonequilibrium electronic forces play a central role in voltage-driven phase transitions but are notoriously expensive to evaluate in dynamical simulations. Here we develop a machine learning framework for adiabatic lattice dynamics coupled to nonequilibrium electrons, and demonstrate it for a gating induced insulator to metal transition out of a charge density wave state in the Holstein model. Although exact electronic forces can be obtained from nonequilibrium Green's function (NEGF) calculations, their high computational cost renders long time dynamical simulations prohibitively expensive. By exploiting the locality of the electronic response, we train a neural network to directly predict instantaneous local electronic forces from the lattice configuration, thereby bypassing repeated NEGF calculations during time evolution. When combined with Brownian dynamics, the resulting machine learning force field quantitatively reproduces domain wall motion and nonequilibrium phase transition dynamics obtained from full NEGF simulations, while achieving orders of magnitude gains in computational efficiency. Our results establish direct force learning as an efficient and accurate approach for simulating nonequilibrium lattice dynamics in driven quantum materials.
format Preprint
id arxiv_https___arxiv_org_abs_2601_07583
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Machine learning nonequilibrium phase transitions in charge-density wave insulators
Fan, Yunhao
Zhang, Sheng
Chern, Gia-Wei
Strongly Correlated Electrons
Machine Learning
Computational Physics
Nonequilibrium electronic forces play a central role in voltage-driven phase transitions but are notoriously expensive to evaluate in dynamical simulations. Here we develop a machine learning framework for adiabatic lattice dynamics coupled to nonequilibrium electrons, and demonstrate it for a gating induced insulator to metal transition out of a charge density wave state in the Holstein model. Although exact electronic forces can be obtained from nonequilibrium Green's function (NEGF) calculations, their high computational cost renders long time dynamical simulations prohibitively expensive. By exploiting the locality of the electronic response, we train a neural network to directly predict instantaneous local electronic forces from the lattice configuration, thereby bypassing repeated NEGF calculations during time evolution. When combined with Brownian dynamics, the resulting machine learning force field quantitatively reproduces domain wall motion and nonequilibrium phase transition dynamics obtained from full NEGF simulations, while achieving orders of magnitude gains in computational efficiency. Our results establish direct force learning as an efficient and accurate approach for simulating nonequilibrium lattice dynamics in driven quantum materials.
title Machine learning nonequilibrium phase transitions in charge-density wave insulators
topic Strongly Correlated Electrons
Machine Learning
Computational Physics
url https://arxiv.org/abs/2601.07583