物理学报2024，Vol.73Issue(1)：43-50,8.DOI:10.7498/aps.73.20231473
基于符号回归方法探索磁性斯格明子结构近似解析式
Exploring approximate analytical expression for magnetic skyrmion structure based on symbolic regression method
摘要
Abstract
Magnetic skyrmion is a kind of nontrivial topological magnetic structure,which can exist stably in chiral magnet with Dzyaloshinskii-Moriya(DM)interaction,and its static and dynamic properties are closely related to its structural characteristics.However,there are no general analytical expressions for skyrmion profiles.Therefore,many researchers have provided approximate solutions.In this paper,a new approach to exploring magnetic skyrmion structures is introduced by using a symbolic regression approach.Considering the influence of DM interaction and external magnetic field on magnetic skyrmion structure,two suitable approximate expressions are obtained through symbolic regression algorithms.The applicability of these expressions depends on the dominant interaction.The research results in this work validate the powerful capability of symbolic regression algorithms in exploring the magnetic skyrmion profiles.So,the present study provides a new method for finding the analytical expressions for magnetic structure.关键词
磁性斯格明子/符号回归/磁性斯格明子结构/Dzyaloshinskii-Moriya相互作用Key words
magnetic skyrmions/symbolic regression/structures of magnetic skyrmions/Dzyaloshinskii-Moriya interaction引用本文复制引用
史猛,王伟伟,杜海峰..基于符号回归方法探索磁性斯格明子结构近似解析式[J].物理学报,2024,73(1):43-50,8.基金项目
国家重点研发计划(批准号:2022YFA1403603)、中国科学院战略性先导科技专项(批准号:XDB33030100)、国家自然科学基金(批准号:12241406)、国家杰出青年科学基金(批准号:52325105)、中国科学院装备发展项目(批准号:YJKYYQ20180012)和中国科学院青年基础研究项目(批准号:YSBR-084)资助的课题.Project supported by the National Key R&D Program of China(Grant No.2022YFA1403603),the Strategic Priority Research Program of Chinese Academy of Sciences,China(Grant No.XDB33030100),the National Natural Science Foundation of China(Grant No.12241406),the National Natural Science Fund for Distinguished Young Scholars of China(Grant No.52325105),the Equipment Development Project of Chinese Academy of Sciences,China(Grant No.YJKYYQ20180012),and the Project for Young Scientists in Basic Research of Chinese Academy of Sciences,China(Grant No.YSBR-084). （批准号:2022YFA1403603）
