paper

Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets

arXiv:cond-mat/0606504 · doi:10.1103/PhysRevB.74.165310

Abstract

Starting from a microscopic tight-binding model and using second order perturbation theory, we derive explicit expressions for the intrinsic and Rashba spin-orbit interaction induced gaps in the Dirac-like low-energy band structure of an isolated graphene sheet. The Rashba interaction parameter is first order in the atomic carbon spin-orbit coupling strength and first order in the external electric field perpendicular to the graphene plane, whereas the intrinsic spin-orbit interaction which survives at E=0 is second order in . The spin-orbit terms in the low-energy effective Hamiltonian have the form proposed recently by Kane and Mele. \textit{Ab initio} electronic structure calculations were performed as a partial check on the validity of the tight-binding model.

5 pages, 2 figures; typos corrected, references updated

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