Regensburg 2013 – scientific programme

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O: Fachverband Oberflächenphysik

O 55: Electronic Structure and Spin-Orbit Interaction II

O 55.13: Talk

Wednesday, March 13, 2013, 19:00–19:15, H42

Computing the LDOS for a disordered 2DEG with Rashba-type spin orbit interaction — Jascha Ulrich¹, Serge Florens², •Markus Morgenstern¹, Daniel Hernangomez³, and Thierry Champel³ — ¹2. Physikalisches Institut B, RWTH Aachen — ²Institut Néel, CNRS/UJF, Grenoble — ³LPMMC, CNRS/UJF, Grenoble

We present the application of a recent formalism developed by Serge Florens and Thierry Champel for the description of the single-electron dynamics under high magnetic fields in smoothly varying potential landscapes to systems with Rashba-type spin-orbit interaction subject to disorder both in the electrostatic potential V(r^→) and the Rashba parameter α(r^→). Assuming an electrostatic disorder potential V(r^→) and a Rashba parameter α(r^→) in the plane of the two-dimensional electron gas which vary locally linear on the scale of the magnetic length l_B and working in the high-field limit of negligible Landau level mixing, we present a compact formula for the temperature-broadened local density of states ρ^STS(ω, r^→) as measured in an STS experiment according to the popular Tersoff-Hamann formula for setups with constant tip density of states. The resulting expression can efficiently be evaluated numerically by Fourier transform methods on home computers for arbitrary electrostatic and Rashba disorder maps. Explicit analytic expressions for limiting cases of zero temperature and constant Rashba parameter are given. We discuss the effects of the electrostatic potential and Rashba fluctuations on the electron dynamics and the form of the local density of states.