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

doi:10.1088/1674-1056/ad0715

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.

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

Received: 15 August 2023
Revised: 16 October 2023
Accepted manuscript online: 26 October 2023

PACS:	02.40.-k	(Geometry, differential geometry, and topology)
	61.46.-w	(Structure of nanoscale materials)
	61.72.-y	(Defects and impurities in crystals; microstructure)
	68.65.-k	(Low-dimensional, mesoscopic, nanoscale and other related systems: structure and nonelectronic properties)

Fund: 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), and the Jiangxi Provincial Natural Science Foundation (Grant No. 20224BAB211020).

Corresponding Authors: Guo-Hua Liang
E-mail: lianggh@njupt.edu.cn

Cite this article:

Guo-Hua Liang(梁国华) and Pei-Lin Yin(尹佩林) Effective dynamics for a spin-1/2 particle constrained to a curved layer with inhomogeneous thickness 2024 Chin. Phys. B 33 020201

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

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