Nonlinear Screening and the Metal–Insulator Transition in a Two-Dimensional Electron Gas

Abstract

The density functional theory is used to study the nonlinear screening properties of a two-dimensional electron gas in a strong magnetic field. The Kohn-Sham equations for two-dimensional electrons are solved numerically. It is shown that at low electron densities, two electrons are localized on impurities and the wave functions of these electrons do not overlap with the wave functions of other electrons. The phase diagram of the metal – insulator transition in a magnetic field is constructed.