Fitting to magnetic forces improves the reliability of magnetic Moment Tensor Potentials

Fuente: arXiv
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Auteurs principaux: Kotykhov, Alexey S., Gubaev, Konstantin, Sotskov, Vadim, Tantardini, Christian, Hodapp, Max, Shapeev, Alexander V., Novikov, Ivan S.
Format: Preprint
Publié: 2024
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author Kotykhov, Alexey S.
Gubaev, Konstantin
Sotskov, Vadim
Tantardini, Christian
Hodapp, Max
Shapeev, Alexander V.
Novikov, Ivan S.
author_facet Kotykhov, Alexey S.
Gubaev, Konstantin
Sotskov, Vadim
Tantardini, Christian
Hodapp, Max
Shapeev, Alexander V.
Novikov, Ivan S.
contents We developed a method for fitting machine-learning interatomic potentials with magnetic degrees of freedom, namely, magnetic Moment Tensor Potentials (mMTP). The main feature of our method consists in fitting mMTP to magnetic forces (negative derivatives of energies with respect to magnetic moments) as obtained spin-polarized density functional theory calculations. We test our method on the bcc Fe-Al system with different compositions. Specifically, we calculate formation energies, equilibrium lattice parameter, and total cell magnetization. Our findings demonstrate an accurate correspondence between the values calculated with mMTP and those obtained by DFT at zero temperature. Additionally, using molecular dynamics, we estimate the finite-temperature lattice parameter and capture the cell expansion as was previously revealed in experiment. Furthermore, we demonstrate that fitting to magnetic forces increases the reliability of structure relaxation (or, equilibration), in the sense of ensuring that every relaxation run ends up with a successfully relaxed structure (the failure may otherwise be caused by falsely driving a configuration away from the region covered in the training set).
format Preprint
id arxiv_https___arxiv_org_abs_2405_07069
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Fitting to magnetic forces improves the reliability of magnetic Moment Tensor Potentials
Kotykhov, Alexey S.
Gubaev, Konstantin
Sotskov, Vadim
Tantardini, Christian
Hodapp, Max
Shapeev, Alexander V.
Novikov, Ivan S.
Materials Science
Other Condensed Matter
We developed a method for fitting machine-learning interatomic potentials with magnetic degrees of freedom, namely, magnetic Moment Tensor Potentials (mMTP). The main feature of our method consists in fitting mMTP to magnetic forces (negative derivatives of energies with respect to magnetic moments) as obtained spin-polarized density functional theory calculations. We test our method on the bcc Fe-Al system with different compositions. Specifically, we calculate formation energies, equilibrium lattice parameter, and total cell magnetization. Our findings demonstrate an accurate correspondence between the values calculated with mMTP and those obtained by DFT at zero temperature. Additionally, using molecular dynamics, we estimate the finite-temperature lattice parameter and capture the cell expansion as was previously revealed in experiment. Furthermore, we demonstrate that fitting to magnetic forces increases the reliability of structure relaxation (or, equilibration), in the sense of ensuring that every relaxation run ends up with a successfully relaxed structure (the failure may otherwise be caused by falsely driving a configuration away from the region covered in the training set).
title Fitting to magnetic forces improves the reliability of magnetic Moment Tensor Potentials
topic Materials Science
Other Condensed Matter
url https://arxiv.org/abs/2405.07069