Density and magnetic field dependences of the conductivity of two-dimensional electron systems

Abstract

Based on a model in which a localised state lies below a conduction band, the density and magnetic field dependences of the magnetoconductance of two-dimensional electron systems are determined for low/intermediate magnetic fields. When plotted against electron density, the magnetoconductance shows a broad maximum which is shifted towards a larger electron density and lowered when the magnetic field is increased. Formulae for the resistivity, density of states, effective mass and relaxation time are also derived.