Effective dynamics for a spin-1/2 particle constrained to a curved layer with inhomogeneous thickness

作     者：梁国华 尹佩林 Guo-Hua Liang;Pei-Lin Yin

作者机构：School of ScienceNanjing University of Posts and TelecommunicationsNanjing 210023China 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2024年第33卷第2期

页      面：78-83页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0702[理学-物理学] 

基　　金：This work was supported in part by the National Natural Science Foundation of China(Grant No.12104239) National Natural Science Foundation of Jiangsu Province of China(Grant No.BK20210581) Nanjing University of Posts and Telecommunications Science Foundation(Grant Nos.NY221024 and NY221100) the Science and Technology Program of Guangxi,China(Grant No.2018AD19310) the Jiangxi Provincial Natural Science Foundation(Grant No.20224BAB211020) 

主　　题：curved surface inhomogeneous thickness spin-1/2 particle effective Hamiltonian 

摘      要：We derive an effective Hamiltonian for a spin-1/2 particle confined within a curved thin layer with non-uniform thickness using the confining potential *** analysis reveals the presence of a pseudo-magnetic field and effective spin–orbit interaction(SOI)arising from the curvature,as well as an effective scalar potential resulting from variations in ***,we demonstrate that the physical effect of additional SOI from thickness fluctuations vanishes in low-dimensional systems,thus guaranteeing the robustness of spin interference measurements to thickness ***,we establish the applicability of the effective Hamiltonian in both symmetric and asymmetric confinement scenarios,which is crucial for its utilization in one-side etching systems.