Higher-order contributions to the Rashba-Bychkov effect with application to Bi/Ag(111) surface alloy

Abstract

In order to explain the anisotropic Rashba-Bychkov effect observed in several metallic surface-state systems, we use k.p perturbation theory with a simple group-theoretical analysis and construct effective Rashba Hamiltonians for different point groups up to third order in the wavenumber. We perform relativistic ab initio calculations for the Bi/Ag(111) ordered surface alloy and from the calculated splitting of the band dispersion we find evidence of the predicted third-order terms. Furthermore, we derive expressions for the corresponding third-order Rashba parameters to provide a simple explanation to the qualitative difference concerning the Rashba-Bychkov splitting of the surface states at Au(111) and Bi/Ag(111).

7 pages, 3 figures

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• Strong spin-orbit splitting on Bi surfaces
• Rashba type spin-orbit splitting of quantum well states in ultrathin Pb films
• Anisotropy effects on Rashba and topological insulator spin polarized surface states: a unified phenomenological description
• Anomalous Hall effect in a two dimensional electron gas with magnetic impurities

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