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

doi:10.1088/1674-1056/ad0715

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)

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)

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/Abstract

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)

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[J]. 中国物理B, 2024, 33(2): 20201-020201.

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[J]. Chin. Phys. B, 2024, 33(2): 20201-020201.

参考文献

[1] Ren Z and Gao P X 2014 Nanoscale 6 9366
[2] Sun Q, Zhang R, Qiu J, Liu R and Xu W 2017 Adv. Mater. 30 1705630
[3] Pogosov A G, Shevyrin A A, Pokhabov D A, Zhdanov E Y and Kumar S 2022 J. Phys.: Condens. Matter 34 263001
[4] Lilian G, Laurent L, Guillaume L, Benoit W and Benjamin A 2022 Commun. Chem. 5 7
[5] Gentile P, Cuoco M, Volkov O M, Ying Z J, Vera-Marun I J, Makarov D and Ortix C 2022 Nat. Electron. 5 551
[6] Schultheiss V H, Batz S and Peschel U 2016 Nat. Photon. 10 106
[7] Bekenstein R, Kabessa Y, Sharabi Y, et al. 2017 Nat. Photon. 11 664
[8] Schultheiss V H, Batz S, Szameit A, Dreisow F, Nolte S, Tünnermann A, Longhi S and Peschel U 2010 Phys. Rev. Lett. 105 143901
[9] Carollo R A, Aveline D C, Rhyno B, Vishveshwara S, Lannert C, Murphree J D, Elliott E R, Williams J R, Thompson R J and Lundblad N 2022 Nature 606 281
[10] Jia F, Huang Z, Qiu L, Zhou R, Yan Y and Wang D 2022 Phys. Rev. Lett. 129 243402
[11] Jensen H and Koppe H 1971 Ann. Phys. 63 586
[12] da Costa R C T 1981 Phys. Rev. A 23 1982
[13] Szameit A, Dreisow F, Heinrich M, Keil R, Nolte S, Tünnermann A and Longhi S 2010 Phys. Rev. Lett. 104 150403
[14] Cantele G, Ninno D and Iadonisi G 2000 J. Phys.: Condens. Matter 12 9019
[15] Silva K V R A, de Freitas C F and Filgueiras C 2013 Eur. Phys. J. B 86 147
[16] Longhi S 2007 Opt. Lett. 32 2647
[17] Spittel R, Uebel P, Bartelt H and Schmidt M A 2015 Opt. Express 23 12174
[18] Stockhofe J and Schmelcher P 2014 Phys. Rev. A 89 033630
[19] Ferrari G and Cuoghi G 2008 Phys. Rev. Lett. 100 230403
[20] Brandt F T and S'anchez-Monroy J A 2015 Europhys. Lett. 111 67004
[21] Wang Y L and Zong H S 2016 Ann. Phys. 364 68
[22] Ouyang P, Mohta V and Jaffe R 1999 Ann. Phys. 275 297
[23] Burgess M and Jensen B 1993 Phys. Rev. A 48 1861
[24] Brandt F T and Sánchez-Monroy J A 2016 Phys. Lett. A 380 3036
[25] Ortix C 2015 Phys. Rev. B 91 245412
[26] Entin M V and Magarill L I 2001 Phys. Rev. B 64 085330
[27] Chang J Y, Wu J S and Chang C R 2013 Phys. Rev. B 87 174413
[28] Wang Y L, Du L, Xu C T, Liu X J and Zong H S 2014 Phys. Rev. A 90 042117
[29] Wang Y L, Jiang H and Zong H S 2017 Phys. Rev. A 96 022116
[30] Liang G H, Wang Y L, Lai M Y, Liu H, Zong H S and Zhu S N 2018 Phys. Rev. A 98 062112
[31] Maraner P and Destri C 1993 Mod. Phys. Lett. A 08 861
[32] Maraner P 1995 J. Phys. A: Math. Gen. 28 2939
[33] Maraner P 1996 Ann. Phys. 246 325
[34] Fujii K, Ogawa N, Uchiyama S and Chepilko N M 1997 Int. J. Mod. Phys. A 12 5235
[35] Schuster P and Jaffe R 2003 Ann. Phys. 307 132
[36] Meschede L, Schwager B, Schulz D and Berakdar J 2023 Phys. Rev. A 107 062806
[37] Batz S and Peschel U 2008 Phys. Rev. A 78 043821
[38] Lai M Y, Wang Y L, Liang G H, Wang F and Zong H S 2018 Phys. Rev. A 97 033843
[39] Lai M Y, Wang Y L, Liang G H and Zong H S 2019 Phys. Rev. A 100 033825
[40] Gaididei Y, Kravchuk V P and Sheka D D 2014 Phys. Rev. Lett. 112 257203
[41] Streubel R, Fischer P, Kronast F, Kravchuk V P, Sheka D D, Gaididei Y, Schmidt O G and Makarov D 2016 J. Phys. D: Appl. Phys. 49 363001
[42] Caracanhas M A, Massignan P and Fetter A L 2022 Phys. Rev. A 105 023307
[43] Salasnich L 2022 SciPost Phys. Core 5 015
[44] Liang G H and Lai M Y 2023 Phys. Rev. A 107 022213
[45] Hooft G 2005 50 years of Yang-Mills theory (Singapore: World Scientific)

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

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

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 5

Metrics

本文评价

推荐阅读 0

[1]	Tong Chen(陈彤), Xuesong Mei(梅雪松), Wanping Zhou(周挽平), and Haoxue Qiao(乔豪学). High-order Hamiltonian obtained by Foldy-Wouthuysen transformation up to the order of mα⁸[J]. 中国物理B, 2023, 32(8): 83101-083101.
[2]	任军航, 叶明勇, 林秀敏. A method to calculate effective Hamiltonians in quantum information[J]. 中国物理B, 2019, 28(11): 110305-110305.
[3]	卢佳, 周怀春. Finite-difference time-domain modeling of curved material interfaces by using boundary condition equations method[J]. 中国物理B, 2016, 25(9): 90203-090203.
[4]	黄伟其, 苗信建, 黄忠梅, 陈汉琼, 苏琴. Electronic states and shape of silicon quantum dots[J]. 中国物理B, 2013, 22(6): 64207-064207.
[5]	黄伟其, 尹君, 周年杰, 黄忠梅, 苗信建, 陈汉琼, 苏琴, 刘世荣, 秦朝建. Curved surface effect and emission on silicon nanostructures[J]. 中国物理B, 2013, 22(10): 104204-104204.