Calculated heat capacity and magnetization of two-dimensional electron systems

Abstract
We calculate the heat capacity and the magnetization of a weakly disordered two-dimensional electron gas as a function of temperature, electron density, and external magnetic field. The electronic density of states entering our theory includes the effects of Landau-level broadening through a self-consistent theory that treats impurity scattering and dielectric screening self-consistently. Our calculated results, in good qualitative agreement with existing measurements, show that the actual density of states is much broader than what would be inferred on the basis of the standard short-range scattering model. We find that, depending on relative magnitudes of temperature, level broadening, cyclotron energy, and chemical potential, the temperature dependence of the specific heat could show an interesting experimentally observable nonmonotonic behavior.