Facilitating {\it ab initio} configurational sampling of multicomponent solids using an on-lattice neural network model and active learning

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Main Authors: Kasamatsu, Shusuke, Motoyama, Yuichi, Yoshimi, Kazuyoshi, Matsumoto, Ushio, Kuwabara, Akihide, Ogawa, Takafumi
Format: Preprint
Published: 2020
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author Kasamatsu, Shusuke
Motoyama, Yuichi
Yoshimi, Kazuyoshi
Matsumoto, Ushio
Kuwabara, Akihide
Ogawa, Takafumi
author_facet Kasamatsu, Shusuke
Motoyama, Yuichi
Yoshimi, Kazuyoshi
Matsumoto, Ushio
Kuwabara, Akihide
Ogawa, Takafumi
contents We propose a scheme for {\it ab initio} configurational sampling in multicomponent crystalline solids using Behler-Parinello type neural network potentials (NNPs) in an unconventional way: the NNPs are trained to predict the energies of relaxed structures from the perfect lattice with configurational disorder instead of the usual way of training to predict energies as functions of continuous atom coordinates. An active learning scheme is employed to obtain a training set containing configurations of thermodynamic relevance. This enables bypassing of the structural relaxation procedure which is necessary when applying conventional NNP approaches to the lattice configuration problem. The idea is demonstrated on the calculation of the temperature dependence of the degree of A/B site inversion in three spinel oxides, MgAl$_2$O$_4$, ZnAl$_2$O$_4$, and MgGa$_2$O$_4$. The present scheme may serve as an alternative to cluster expansion for `difficult' systems, e.g., complex bulk or interface systems with many components and sublattices that are relevant to many technological applications today.
format Preprint
id arxiv_https___arxiv_org_abs_2008_02572
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Facilitating {\it ab initio} configurational sampling of multicomponent solids using an on-lattice neural network model and active learning
Kasamatsu, Shusuke
Motoyama, Yuichi
Yoshimi, Kazuyoshi
Matsumoto, Ushio
Kuwabara, Akihide
Ogawa, Takafumi
Computational Physics
Materials Science
We propose a scheme for {\it ab initio} configurational sampling in multicomponent crystalline solids using Behler-Parinello type neural network potentials (NNPs) in an unconventional way: the NNPs are trained to predict the energies of relaxed structures from the perfect lattice with configurational disorder instead of the usual way of training to predict energies as functions of continuous atom coordinates. An active learning scheme is employed to obtain a training set containing configurations of thermodynamic relevance. This enables bypassing of the structural relaxation procedure which is necessary when applying conventional NNP approaches to the lattice configuration problem. The idea is demonstrated on the calculation of the temperature dependence of the degree of A/B site inversion in three spinel oxides, MgAl$_2$O$_4$, ZnAl$_2$O$_4$, and MgGa$_2$O$_4$. The present scheme may serve as an alternative to cluster expansion for `difficult' systems, e.g., complex bulk or interface systems with many components and sublattices that are relevant to many technological applications today.
title Facilitating {\it ab initio} configurational sampling of multicomponent solids using an on-lattice neural network model and active learning
topic Computational Physics
Materials Science
url https://arxiv.org/abs/2008.02572