中国物理B ›› 2024, Vol. 33 ›› Issue (2): 20201-020201.doi: 10.1088/1674-1056/ad0715

• •    下一篇

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

Guo-Hua Liang(梁国华) and Pei-Lin Yin(尹佩林)   

  1. School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
  • 收稿日期:2023-08-15 修回日期:2023-10-16 接受日期:2023-10-26 出版日期:2024-01-16 发布日期:2024-01-25
  • 通讯作者: Guo-Hua Liang E-mail:lianggh@njupt.edu.cn
  • 基金资助:
    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).

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

Guo-Hua Liang(梁国华) and Pei-Lin Yin(尹佩林)   

  1. School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
  • Received:2023-08-15 Revised:2023-10-16 Accepted:2023-10-26 Online:2024-01-16 Published:2024-01-25
  • Contact: Guo-Hua Liang E-mail:lianggh@njupt.edu.cn
  • Supported by:
    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).

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 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.

关键词: curved surface, inhomogeneous thickness, spin-1/2 particle, effective Hamiltonian

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

中图分类号:  (Geometry, differential geometry, and topology)

  • 02.40.-k
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)