物理学报2023，Vol.72Issue(23)：158-178,21.DOI:10.7498/aps.72.20231313
外加电磁场下周期性体系的第一性原理计算方法
First-principles calculation method for periodic system under external electromagnetic field
摘要
Abstract
The influence of electromagnetic field on material characteristics remains a pivotal concern in scientific researches.Nonetheless,in the realm of computational condensed matter physics,the extension of traditional density functional theory to scenarios inclusive of external electromagentic fields poses considerable challenges.These issues largely stem from the disruption of translational symmetry by external fields inherent in periodic systems,rendering Bloch's theorem inoperative.Consequently,the using the first-principles method to calculate material properties in the presence of external fields becomes an intricate task,especially in circumstances where the external field cannot be approximated as a minor perturbation.Over the past two decades,a significant number of scholars within the field of computational condensed matter physics have dedicated their efforts to the formulation and refinement of first-principles computational method adopted in handling periodic systems subjected to finite external fields.This work attempts to systematically summarize these theoretical methods and their applications in the broad spectrum,including but not limited to ferroelectric,piezoelectric,ferromagnetic,and multiferroic domains.In the first part of this paper,we provide a succinct exposition of modern theory of polarization and delineate the process of constructing two computation methods in finite electric fields predicated by this theory in conjunction with density functional theory.The succeeding segment focuses on the integration of external magnetic fields into density functional theory and examining the accompanying computational procedures alongside the challenges they present.In the third part,we firstly review the first-principles effective Hamiltonian method,which is widely used in the study of magnetic,ferroelectric and multiferroic systems,and its adaptability to the case involving external fields.Finally,we discuss the exciting developments of constructing effective Hamiltonian models by using machine learning neural network methods,and their extensions according to the external fields.关键词
第一性原理计算/电磁场/有效哈密顿量模型/机器学习Key words
first-principles calculation/electromagnetic field/effective Hamiltonian/machine learning引用本文复制引用
吕程烨,陈英炜,谢牧廷,李雪阳,于宏宇,钟阳,向红军..外加电磁场下周期性体系的第一性原理计算方法[J].物理学报,2023,72(23):158-178,21.基金项目
科技部重点专项(批准号:2022YFA1402901)、国家自然科学基金(批准号:11825403,11991061,12188101)和广东省基础与应用基础研究重大项目(批准号:2021B0301030005)资助的课题. Project supported by the National Science and Technology Major Project of the Ministry of Science and Technology of China(Grant No.2022YFA1402901),the National Natural Science Foundation of China(Grant Nos.11825403,11991061,12188101),and the Major Project of the Basic and Applied Basic Research of Guangdong Province,China(Grant No.2021B0301030005). （批准号:2022YFA1402901）
