论文

论文

Pseudo-magnetic-field and effective spin-orbit interaction for a spin-1/2 particle confined to a curved surface
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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
论文题目英文:
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
: 2018
: 98
: 6
: 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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