Dresden 2014 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 48: Transport

HL 48.5: Talk

Tuesday, April 1, 2014, 15:00–15:15, POT 006

Microscopics of Disordered Quantum Hall Systems with Rashba Spin-Orbit Interaction: Spectral Properties and Transport in the Hydrodynamic Regime — •Daniel Hernangomez-Perez¹, Jascha Ulrich^2,3, Serge Florens³, and Thierry Champel¹ — ¹Laboratoire de Physique et Modélisation des Milieux Condensés, CNRS and Université Joseph Fourier, Grenoble, France — ²Institute of Physics and JARA-FIT, RWTH Aachen University, Aachen, Germany — ³Institut Néel, CNRS and Université Joseph Fourier, Grenoble, France

We develop a semicoherent state Green’s function formalism to study disordered two-dimensional electron gases (2DEG) in the quantum Hall regime with random Rashba interaction and Zeeman coupling. As a first step, we calculate the energy spectrum in weakly curved smooth disorder potentials with fluctuating Rashba fields and compute a microscopic non-perturbative expression for the local density of states (LDoS). The expression, valid in different temperature regimes, is used to interpret recent experimental data through the study of the spatial dispersion and linewidth of the LDoS peaks. Next, we discuss transport properties of these systems in the hydrodynamic regime. We compute analytical expressions for the edge and bulk current densities and show that, in the semiclassical limit, the Hall conductance presents robust (quantized) Hall plateaux even in the presence of Rashba interaction. Finally, we discuss the dissipationless transport of angular momentum in the 2DEG and show that the semiclassical spin Hall conductance is free of resonances, contrary to previous predictions in the literature.