Ab Initio bulk free energy surface of proper ferroelectrics

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Xie, Pinchen, Chen, Yixiao, Xu, Xinyu, Yao, Zhi, E, Weinan, Car, Roberto
Format: Preprint
Published: 2022
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866912888823742464
author Xie, Pinchen
Chen, Yixiao
Xu, Xinyu
Yao, Zhi
E, Weinan
Car, Roberto
author_facet Xie, Pinchen
Chen, Yixiao
Xu, Xinyu
Yao, Zhi
E, Weinan
Car, Roberto
contents We report a systematic and accurate approach for deriving the bulk free energy surface (FES), a function of temperature, polarization, and strain, from the first-principles density functional theory (DFT) of proper ferroelectrics. The core of our approach is the metadynamics algorithm that extracts the polarization dependence of the FES from all-atom molecular dynamics simulations without an a priori ansatz. The rest of the FES is derived from the metadynamics trajectories that span the relevant phase space. We demonstrate our approach in the case of lead titanate. The errors across the phase transition, due to DFT numerics, all-atom molecular dynamics, and free energy evaluation by enhanced sampling, can be systematically controlled and are of the order of 1meV/atom. The accuracy of the resulting ab initio FES is only limited by the adopted functional approximation of DFT.
format Preprint
id arxiv_https___arxiv_org_abs_2205_11839
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Ab Initio bulk free energy surface of proper ferroelectrics
Xie, Pinchen
Chen, Yixiao
Xu, Xinyu
Yao, Zhi
E, Weinan
Car, Roberto
Materials Science
We report a systematic and accurate approach for deriving the bulk free energy surface (FES), a function of temperature, polarization, and strain, from the first-principles density functional theory (DFT) of proper ferroelectrics. The core of our approach is the metadynamics algorithm that extracts the polarization dependence of the FES from all-atom molecular dynamics simulations without an a priori ansatz. The rest of the FES is derived from the metadynamics trajectories that span the relevant phase space. We demonstrate our approach in the case of lead titanate. The errors across the phase transition, due to DFT numerics, all-atom molecular dynamics, and free energy evaluation by enhanced sampling, can be systematically controlled and are of the order of 1meV/atom. The accuracy of the resulting ab initio FES is only limited by the adopted functional approximation of DFT.
title Ab Initio bulk free energy surface of proper ferroelectrics
topic Materials Science
url https://arxiv.org/abs/2205.11839