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| 论文题目: | Pseudo-magnetic-field and effective spin-orbit interaction for a spin-1/2 particle confined to a curved surface |
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| 作者: | Liang, Guo-Hua; Wang, Yong-Long; Lai, Meng-Yun; Liu, Hui; Zong, Hong-Shi; Zhu, Shi-Ning |
| 论文出处: | |
| 刊物名称: | PHYSICAL REVIEW A |
| 年: | 2018 |
| 卷: | 98 |
| 期: | 6 |
| 页: | 62112 |
| 联系作者: | Liang, GH; Liu, H; Zong, HS (reprint author) |
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| 摘要: | By considering the spin connection, we deduce the effective equation for a spin-1/2 particle confined to a curved surface with the nonrelativistic limit and in the thin-layer quantization formalism. We obtain a pseudo-magnetic-field and an effective spin-orbit interaction generated by the spin connection. Geometrically, the pseudo-magnetic field is proportional to the Gaussian curvature and the effective spin-orbit interaction is determined by the Weingarten curvature tensor. In particular, we find that the pseudo-magnetic-field and the effective spin-orbit interaction can be employed to separate the electrons with different spin orientations. All these results are demonstrated in two examples: a straight cylindrical surface and a bent one. |
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