The specific heat of a 2DEG in a magnetic field

Abstract

We investigate the specific heat of a two-dimensional electron gas (2DEG) and how it varies with the system's temperature and chemical potential in the presence of an external magnetic field. In this work, we take into account the dependence of the chemical potential with temperature. We show that the specific heat of the system exhibits a two-peak behavior at low T regardless of the field's magnitude if μ ∼ T² and that this is consistent with results in the literature where the broadening of Landau levels was considered. The underlying processes may be different but the effect on C_V is similar.