Abstract

$\alpha$-GeTe(111) is a non-centrosymmetric ferroelectric material, for which a strong spin-orbit interaction gives rise to giant Rashba split states in the bulk and at the surface. The detailed dispersions of the surface states inside the bulk band gap remains an open question because they are located in the unoccupied part of the electronic structure, making them inaccessible to static angle-resolved photoemission spectroscopy. We show that this difficulty can be overcome via in-situ potassium doping of the surface, leading to a rigid shift of 80 meV of the surface states into the occupied states. Thus, we resolve in great detail their dispersion and highlight their crossing at the $\bar{\Gamma}$ point, which, in comparison with density functional theory calculations, definitively confirms the Rashba mechanism.

Highlights

  • The electronic band structure in solids with both inversion and time-reversal symmetries (TRSs) is, at least, doubly degenerate with respect to the spin degree of freedom

  • We report the detailed dispersion of these states in the vicinity of thepoint, confirming the existence of their crossing point (CP) in the bulk band gap and, by consequence, the associated Rashba scenario with TRS conservation

  • We present the definitive proof that the CP of the surface states is located in the unoccupied part of the band structure, a finding which was not properly established from previous experimental and theoretical works [34,37]

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Summary

Introduction

The electronic band structure in solids with both inversion and time-reversal symmetries (TRSs) is, at least, doubly degenerate with respect to the spin degree of freedom. The Rashba effect was first observed by angle-resolved photoemission spectroscopy (ARPES) at the surface of Au(111) where the Shockley state shows a momentum-dependent energy splitting [2]. Spin-resolved ARPES confirmed its predicted in-plane spin polarization [3]. Work has been done on BiTeX (X = I, Cl, and Br) polar semiconductors where the first evidence of giant bulk Rashba split states was observed by ARPES and spin-resolved ARPES [20,21,22,23,24,25,26]

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