Machine learning nonequilibrium electron forces for spin dynamics of itinerant magnets

Abstract We present a generalized potential theory for conservative as well as nonconservative forces for the Landau-Lifshitz magnetization dynamics. Importantly, this formulation makes possible an elegant generalization of the Behler-Parrinello machine learning (ML) approach, which is a cornerstone...

Full description

Bibliographic Details
Main Authors: Puhan Zhang, Gia-Wei Chern
Format: Article
Language:English
Published: Nature Portfolio 2023-03-01
Series:npj Computational Materials
Online Access:https://doi.org/10.1038/s41524-023-00990-0
_version_ 1797864110841397248
author Puhan Zhang
Gia-Wei Chern
author_facet Puhan Zhang
Gia-Wei Chern
author_sort Puhan Zhang
collection DOAJ
description Abstract We present a generalized potential theory for conservative as well as nonconservative forces for the Landau-Lifshitz magnetization dynamics. Importantly, this formulation makes possible an elegant generalization of the Behler-Parrinello machine learning (ML) approach, which is a cornerstone of ML-based quantum molecular dynamics methods, to the modeling of force fields in adiabatic spin dynamics of out-of-equilibrium itinerant magnetic systems. We demonstrate our approach by developing a deep-learning neural network that successfully learns the electron-mediated exchange fields in a driven s-d model computed from the nonequilibrium Green’s function method. We show that dynamical simulations with forces predicted from the neural network accurately reproduce the voltage-driven domain-wall propagation. Our work also lays the foundation for ML modeling of spin transfer torques and opens a avenue for ML-based multi-scale modeling of nonequilibrium dynamical phenomena in itinerant magnets and spintronics.
first_indexed 2024-04-09T22:46:16Z
format Article
id doaj.art-c5e3fbfbd1074f8f89dda9937dbcc5fa
institution Directory Open Access Journal
issn 2057-3960
language English
last_indexed 2024-04-09T22:46:16Z
publishDate 2023-03-01
publisher Nature Portfolio
record_format Article
series npj Computational Materials
spelling doaj.art-c5e3fbfbd1074f8f89dda9937dbcc5fa2023-03-22T11:50:28ZengNature Portfolionpj Computational Materials2057-39602023-03-019111010.1038/s41524-023-00990-0Machine learning nonequilibrium electron forces for spin dynamics of itinerant magnetsPuhan Zhang0Gia-Wei Chern1Department of Physics, University of VirginiaDepartment of Physics, University of VirginiaAbstract We present a generalized potential theory for conservative as well as nonconservative forces for the Landau-Lifshitz magnetization dynamics. Importantly, this formulation makes possible an elegant generalization of the Behler-Parrinello machine learning (ML) approach, which is a cornerstone of ML-based quantum molecular dynamics methods, to the modeling of force fields in adiabatic spin dynamics of out-of-equilibrium itinerant magnetic systems. We demonstrate our approach by developing a deep-learning neural network that successfully learns the electron-mediated exchange fields in a driven s-d model computed from the nonequilibrium Green’s function method. We show that dynamical simulations with forces predicted from the neural network accurately reproduce the voltage-driven domain-wall propagation. Our work also lays the foundation for ML modeling of spin transfer torques and opens a avenue for ML-based multi-scale modeling of nonequilibrium dynamical phenomena in itinerant magnets and spintronics.https://doi.org/10.1038/s41524-023-00990-0
spellingShingle Puhan Zhang
Gia-Wei Chern
Machine learning nonequilibrium electron forces for spin dynamics of itinerant magnets
npj Computational Materials
title Machine learning nonequilibrium electron forces for spin dynamics of itinerant magnets
title_full Machine learning nonequilibrium electron forces for spin dynamics of itinerant magnets
title_fullStr Machine learning nonequilibrium electron forces for spin dynamics of itinerant magnets
title_full_unstemmed Machine learning nonequilibrium electron forces for spin dynamics of itinerant magnets
title_short Machine learning nonequilibrium electron forces for spin dynamics of itinerant magnets
title_sort machine learning nonequilibrium electron forces for spin dynamics of itinerant magnets
url https://doi.org/10.1038/s41524-023-00990-0
work_keys_str_mv AT puhanzhang machinelearningnonequilibriumelectronforcesforspindynamicsofitinerantmagnets
AT giaweichern machinelearningnonequilibriumelectronforcesforspindynamicsofitinerantmagnets