A deep equivariant neural network approach for efficient hybrid density functional calculations

Hybrid density functional calculations are essential for accurate description of electronic structure, yet their widespread use is restricted by the substantial computational cost. Here we develop DeepH-hybrid, a deep equivariant neural network method for learning the hybrid-functional Hamiltonian as a function of material structure, which circumvents the time-consuming self-consistent field iterations and enables the study of large-scale materials with hybrid-functional accuracy. Our extensive experiments demonstrate good reliability as well as effective transferability and efficiency of the method. As a notable application, DeepH-hybrid is applied to study large-supercell Moiré-twisted materials, offering the first case study on how the inclusion of exact exchange affects flat bands in magic-angle twisted bilayer graphene. The work generalizes deep-learning electronic structure methods to beyond conventional density functional theory, facilitating the development of deep-learning-based ab initio methods.

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Publication Details

Journal
Nature Communications
Published
2024-10-11
DOI
https://doi.org/10.1038/s41467-024-53028-4
Citations
28
Primary Topic
Machine Learning in Materials Science
Type
article
Field-Weighted Citation Impact
3.28

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article

A deep equivariant neural network approach for efficient hybrid density functional calculations

He Li, Peize Lin, Yong Xu, Wenhui Duan et al.
28 citations
Nature Communications
Machine Learning in Materials Science
3.28
article

A deep equivariant neural network approach for efficient hybrid density functional calculations

He Li, Peize Lin, Yong Xu, Wenhui Duan, Lixin He, Xinguo Ren, Hong Jiang, Xiaoxun Gong, Zechen Tang, Gan Jin
article en
28 citations

Abstract

Hybrid density functional calculations are essential for accurate description of electronic structure, yet their widespread use is restricted by the substantial computational cost. Here we develop DeepH-hybrid, a deep equivariant neural network method for learning the hybrid-functional Hamiltonian as a function of material structure, which circumvents the time-consuming self-consistent field iterations and enables the study of large-scale materials with hybrid-functional accuracy. Our extensive experiments demonstrate good reliability as well as effective transferability and efficiency of the method. As a notable application, DeepH-hybrid is applied to study large-supercell Moiré-twisted materials, offering the first case study on how the inclusion of exact exchange affects flat bands in magic-angle twisted bilayer graphene. The work generalizes deep-learning electronic structure methods to beyond conventional density functional theory, facilitating the development of deep-learning-based ab initio methods.

Nature CommunicationsVol. 15(1)
University of Science and Technology of China (CN), Chinese Academy of Sciences (CN), Peking University (CN), Songshan Lake Materials Laboratory (CN), RIKEN Center for Emergent Matter Science (JP), Beijing Academy of Quantum Information Sciences (CN), Institute of Physics (CN), National Laboratory for Superconductivity (CN), Tsinghua University (CN)
National Natural Science Foundation of China, Beijing Innovation Center for Future Chip, National Science Fund for Distinguished Young Scholars
Affordable and clean energy
Openalex Percentile: Top 4%
Machine Learning in Materials Science
3.28
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