Computer simulation of two-dimensional disordered electron systems in strong magnetic fields

Abstract

A numerical study of two-dimensional electron systems with random potentials is presented as a model for the MOS inversion layer in strong magnetic fields. The model is applied to the ground Landau sub-band with 500 and 1000 scatterers distributed at random in continuous space. Results for both density of states and eigenstates in real space are given. The overall feature of the density of states is found to be in good agreement with the result in single-site approximation. The results for the spatial extent of each eigenstate clearly exhibit in localized nature of the wavefunctions near the lower and upper band edges, thus providing a numerical example of the Anderson localization in this system as predicted by Aoki and Kamimura (1977).