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Pauli Equation on a Curved Surface and Rashba Splitting on a Corrugated Surface

The Schroedinger equation for a spinless charged particle on a curved surface under an electromagnetic field has been obtained by adopting a proper gauge which allows the separation of the on-surface and transverse dynamics. [Phys. Rev. Lett. 100 (2008) 230403] As its extension, I provide the Pauli equation for a charged spin-1/2 particle confined to a curved surface under an electromagnetic field. Energy spectra of a sphere and a corrugated surface to which a particle is confined are given as simple applications of the equation. The energy levels obtained exhibit splittings due to the relativistic effect known as the Rashba effect.

preprint2013arXivOpen access
Taichi Kosugi
cond-mat.mes-hallcond-mat.mtrl-sci
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Taichi Kosugi

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