Poster 13
Hongki Min
UT-Physics
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Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
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 E 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. Ab initio
electronic structure calculations were performed as a partial check on the validity of the tight-binding model.
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