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

• Published in: Chinese physics B Vol. 33; no. 2; pp. 20201 - 94
• Main Authors: Liang, Guo-Hua, Yin, Pei-Lin
• Format: Journal Article
• Language: English
• 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

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...