Pseudo-magnetic field and effective spin-orbit interaction for a spin-1/2 particle confined to a curved surface
Abstract
By considering the spin connection, we deduce the effective equation for a spin-1/2 particle confined to a curved surface with the non-relativistic 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. Particularly, 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.
Keywords
Cite
@article{arxiv.1808.09959,
title = {Pseudo-magnetic field and effective spin-orbit interaction for a spin-1/2 particle confined to a curved surface},
author = {Guo-Hua Liang and Yong-Long Wang and Meng-Yun Lai and Hui Liu and Hong-Shi Zong and Shi-Ning Zhu},
journal= {arXiv preprint arXiv:1808.09959},
year = {2018}
}