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

Vajna, Sz. and Simon, E. and Szilva, A. and Palotás, Krisztián and Ujfalussy, B. and Szunyogh, L. (2012) Higher-order contributions to the Rashba-Bychkov effect with application to the Bi/Ag(111) surface alloy. Physical Review B, 85 (7). ISSN 1098-0121

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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 wave number. We perform relativistic ab initio calculations for the (3√×3√)R30∘ Bi/Ag(111) 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 of the qualitative difference concerning the Rashba-Bychkov splitting of the surface states at Au(111) and Bi/Ag(111).

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