CIRCUIT TYPE SIMULATIONS OF MAGNETO-TRANSPORT IN THE QUANTUM HALL EFFECT REGIME

Abstract

A Landauer-Büttiker type representation of bulk current transport is used for the numerical simulation of the magneto-transport of 2-dimensional electron systems. It allows us to build up a network model, which describes the effect of non-equilibrium currents injected via metallic contacts like in real experiments. Our model suggests a peak-like contribution of de-localized states to the bulk conductance, which appears embedded in the density of states (DOS) of the Landau levels (LLs). In contrast, the localization picture of the quantum Hall effect suggests almost sharp boundaries between localized and de-localized states and does not explicitly map out their contribution to the bulk conductance. Most recent experiments by B. A. Piot et al. suggest a similar peak-like contribution of de-localized states near the center of the LLs. Our simulation results for the same parameter values as determined by Piot et al. reproduce their experimental data very well.