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

梁国华 ¹尹佩林¹

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作者信息

1. School of Science,Nanjing University of Posts and Telecommunications,Nanjing 210023,China
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Abstract

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 approach.Our 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 thickness.Importantly,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 imperfection.Furthermore,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.

Key words

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

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基金项目

National Natural Science Foundation of China(12104239)

National Natural Science Foundation of Jiangsu Province of China(BK20210581)

Nanjing University of Posts and Telecommunications Science Foundation(NY221024)

Nanjing University of Posts and Telecommunications Science Foundation(NY221100)

Science and Technology Program of Guangxi,China(2018AD19310)

Jiangxi Provincial Natural Science Foundation(20224BAB211020)

出版年

2024

中国物理B(英文版)

中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI

影响因子：0.995

ISSN：1674-1056

参考文献量45

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