sp-band tight-binding model for the Bychkov-Rashba effect in a two-dimensional 
electron system including nearest-neighbor contributions from an electric field

Ast, C. R.; Gierz, I.

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sp-band tight-binding model for the Bychkov-Rashba effect in a two-dimensional electron system including nearest-neighbor contributions from an electric field

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Ast, C. R.
Department Nanoscale Science (Klaus Kern), Max Planck Institute for Solid State Research, Max Planck Society;

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Citation

Ast, C. R., & Gierz, I. (2012). sp-band tight-binding model for the Bychkov-Rashba effect in a two-dimensional electron system including nearest-neighbor contributions from an electric field. Physical Review B, 86(8): 085105.

Cite as: https://hdl.handle.net/21.11116/0000-000E-C391-1

Abstract

We present a tight-binding calculation for a two-dimensional electron gas (2DEG) including the spin-orbit interaction as well as an electric field perpendicular to the system in order to model the Bychkov-Rashba spin splitting. The associated potential gradient introduces two contributions to the tight-binding matrix: an on-site contribution coupling orbitals of the same atom and a nearest-neighbor contribution. At the (Gamma) over bar point the first-order Rashba constant alpha(R) only depends on this nearest-neighbor contribution regardless of the lattices considered (square, hexagonal, honeycomb). Applying the model to graphene reveals that this nearest-neighbor contribution induces a significant increase in the zeroth-order Rashba constant lambda(R) and introduces a spin-splitting component, which varies linearly in momentum.