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Main Authors: Dai, Zhenxing, Yang, Zhong, Ni, Mingjue, Huang, Menglin, Xiang, Hongjun, Gong, Xin-Gao, Chen, Shiyou
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2604.07197
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author Dai, Zhenxing
Yang, Zhong
Ni, Mingjue
Huang, Menglin
Xiang, Hongjun
Gong, Xin-Gao
Chen, Shiyou
author_facet Dai, Zhenxing
Yang, Zhong
Ni, Mingjue
Huang, Menglin
Xiang, Hongjun
Gong, Xin-Gao
Chen, Shiyou
contents Point defects critically influence the properties of materials and devices, yet density functional theory (DFT) remains computationally demanding for defect supercell calculations. Machine learning interatomic potentials (MLIPs) offer high efficiency but require extensive datasets. MLIPs trained only on defect configurations in small supercells exhibit systematic energy errors in larger supercells, demonstrating limited transferability. Here, we present a machine learning Hamiltonian (MLH) model-based method for calculating total energies and atomic forces in defect supercells with linear-scaling computational cost, enabling efficient structural relaxation and accurate formation energy predictions. We take oxygen vacancies in amorphous SiO$_2$ as an example and train the MLH model on defect configurations in 95-atom supercells, with the training data derived from 120 self-consistent field calculations and 12 structural relaxations. The MLH model enables efficient structural relaxations for host (defect-free) and defect systems in larger supercells, avoiding the systematic energy errors observed in MLIPs. The cancellation of energy errors between host and defect systems yields accurate formation energy predictions, with deviations from DFT below 50 meV. The proposed method holds significant potential for defect simulations in complex materials.
format Preprint
id arxiv_https___arxiv_org_abs_2604_07197
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Machine learning Hamiltonian enables scalable and accurate defect calculations: The case of oxygen vacancies in amorphous SiO$_2$
Dai, Zhenxing
Yang, Zhong
Ni, Mingjue
Huang, Menglin
Xiang, Hongjun
Gong, Xin-Gao
Chen, Shiyou
Materials Science
Point defects critically influence the properties of materials and devices, yet density functional theory (DFT) remains computationally demanding for defect supercell calculations. Machine learning interatomic potentials (MLIPs) offer high efficiency but require extensive datasets. MLIPs trained only on defect configurations in small supercells exhibit systematic energy errors in larger supercells, demonstrating limited transferability. Here, we present a machine learning Hamiltonian (MLH) model-based method for calculating total energies and atomic forces in defect supercells with linear-scaling computational cost, enabling efficient structural relaxation and accurate formation energy predictions. We take oxygen vacancies in amorphous SiO$_2$ as an example and train the MLH model on defect configurations in 95-atom supercells, with the training data derived from 120 self-consistent field calculations and 12 structural relaxations. The MLH model enables efficient structural relaxations for host (defect-free) and defect systems in larger supercells, avoiding the systematic energy errors observed in MLIPs. The cancellation of energy errors between host and defect systems yields accurate formation energy predictions, with deviations from DFT below 50 meV. The proposed method holds significant potential for defect simulations in complex materials.
title Machine learning Hamiltonian enables scalable and accurate defect calculations: The case of oxygen vacancies in amorphous SiO$_2$
topic Materials Science
url https://arxiv.org/abs/2604.07197