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General framework for E(3)-equivariant neural network representation of density functional theory Hamiltonian.


ABSTRACT: The combination of deep learning and ab initio calculation has shown great promise in revolutionizing future scientific research, but how to design neural network models incorporating a priori knowledge and symmetry requirements is a key challenging subject. Here we propose an E(3)-equivariant deep-learning framework to represent density functional theory (DFT) Hamiltonian as a function of material structure, which can naturally preserve the Euclidean symmetry even in the presence of spin-orbit coupling. Our DeepH-E3 method enables efficient electronic structure calculation at ab initio accuracy by learning from DFT data of small-sized structures, making the routine study of large-scale supercells (>104 atoms) feasible. The method can reach sub-meV prediction accuracy at high training efficiency, showing state-of-the-art performance in our experiments. The work is not only of general significance to deep-learning method development but also creates opportunities for materials research, such as building a Moiré-twisted material database.

SUBMITTER: Gong X 

PROVIDER: S-EPMC10199065 | biostudies-literature | 2023 May

REPOSITORIES: biostudies-literature

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General framework for E(3)-equivariant neural network representation of density functional theory Hamiltonian.

Gong Xiaoxun X   Li He H   Zou Nianlong N   Xu Runzhang R   Duan Wenhui W   Xu Yong Y  

Nature communications 20230518 1


The combination of deep learning and ab initio calculation has shown great promise in revolutionizing future scientific research, but how to design neural network models incorporating a priori knowledge and symmetry requirements is a key challenging subject. Here we propose an E(3)-equivariant deep-learning framework to represent density functional theory (DFT) Hamiltonian as a function of material structure, which can naturally preserve the Euclidean symmetry even in the presence of spin-orbit  ...[more]

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