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

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 wel...

Full description

Saved in:
Bibliographic Details
Published inChinese physics B Vol. 33; no. 2; pp. 20201 - 94
Main Authors Liang, Guo-Hua, Yin, Pei-Lin
Format Journal Article
LanguageEnglish
Published Chinese Physical Society and IOP Publishing Ltd 01.02.2024
Subjects
curved surface
effective Hamiltonian
inhomogeneous thickness
spin-1/2 particle
inhomogeneous thickness
curved surface
spin-1/2 particle
effective Hamiltonian
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/ad0715