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Linear Jacobi-Legendre expansion of the charge density for machine learning-accelerated electronic structure calculations

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Author(s):
Focassio, Bruno ; Domina, Michelangelo ; Patil, Urvesh ; Fazzio, Adalberto ; Sanvito, Stefano
Total Authors: 5
Document type: Journal article
Source: NPJ COMPUTATIONAL MATERIALS; v. 9, n. 1, p. 10-pg., 2023-05-29.
Abstract

Kohn-Sham density functional theory (KS-DFT) is a powerful method to obtain key materials' properties, but the iterative solution of the KS equations is a numerically intensive task, which limits its application to complex systems. To address this issue, machine learning (ML) models can be used as surrogates to find the ground-state charge density and reduce the computational overheads. We develop a grid-centred structural representation, based on Jacobi and Legendre polynomials combined with a linear regression, to accurately learn the converged DFT charge density. This integrates into a ML pipeline that can return any density-dependent observable, including energy and forces, at the quality of a converged DFT calculation, but at a fraction of the computational cost. Fast scanning of energy landscapes and producing starting densities for the DFT self-consistent cycle are among the applications of our scheme. (AU)

FAPESP's process: 19/04527-0 - Interface between crystalline topological insulators and 2D-trivial materials: defect proximity study
Grantee:Bruno Focassio
Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
FAPESP's process: 17/02317-2 - Interfaces in materials: electronic, magnetic, structural and transport properties
Grantee:Adalberto Fazzio
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 21/12204-6 - Machine learning for two-dimensional materials' properties
Grantee:Bruno Focassio
Support Opportunities: Scholarships abroad - Research Internship - Doctorate (Direct)