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Main Authors: Li, Xiang, Chen, Yixiao, Li, Bohao, Chen, Haoxiang, Wu, Fengcheng, Chen, Ji, Ren, Weiluo
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.11756
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author Li, Xiang
Chen, Yixiao
Li, Bohao
Chen, Haoxiang
Wu, Fengcheng
Chen, Ji
Ren, Weiluo
author_facet Li, Xiang
Chen, Yixiao
Li, Bohao
Chen, Haoxiang
Wu, Fengcheng
Chen, Ji
Ren, Weiluo
contents Electronic topological phases of matter, characterized by robust boundary states derived from topologically nontrivial bulk states, are pivotal for next-generation electronic devices. However, understanding their complex quantum phases, especially at larger scales and fractional fillings with strong electron correlations, has long posed a formidable computational challenge. Here, we employ a deep learning framework to express the many-body wavefunction of topological states in twisted ${\rm MoTe_2}$ systems, where diverse topological states are observed. Leveraging neural networks, we demonstrate the ability to identify and characterize topological phases, including the integer and fractional Chern insulators as well as the $Z_2$ topological insulators. Our deep learning approach significantly outperforms traditional methods, not only in computational efficiency but also in accuracy, enabling us to study larger systems and differentiate between competing phases such as fractional Chern insulators and charge density waves. Our predictions align closely with experimental observations, highlighting the potential of deep learning techniques to explore the rich landscape of topological and strongly correlated phenomena.
format Preprint
id arxiv_https___arxiv_org_abs_2503_11756
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Deep Learning Sheds Light on Integer and Fractional Topological Insulators
Li, Xiang
Chen, Yixiao
Li, Bohao
Chen, Haoxiang
Wu, Fengcheng
Chen, Ji
Ren, Weiluo
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Materials Science
Computational Physics
Electronic topological phases of matter, characterized by robust boundary states derived from topologically nontrivial bulk states, are pivotal for next-generation electronic devices. However, understanding their complex quantum phases, especially at larger scales and fractional fillings with strong electron correlations, has long posed a formidable computational challenge. Here, we employ a deep learning framework to express the many-body wavefunction of topological states in twisted ${\rm MoTe_2}$ systems, where diverse topological states are observed. Leveraging neural networks, we demonstrate the ability to identify and characterize topological phases, including the integer and fractional Chern insulators as well as the $Z_2$ topological insulators. Our deep learning approach significantly outperforms traditional methods, not only in computational efficiency but also in accuracy, enabling us to study larger systems and differentiate between competing phases such as fractional Chern insulators and charge density waves. Our predictions align closely with experimental observations, highlighting the potential of deep learning techniques to explore the rich landscape of topological and strongly correlated phenomena.
title Deep Learning Sheds Light on Integer and Fractional Topological Insulators
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Materials Science
Computational Physics
url https://arxiv.org/abs/2503.11756