Features of the chemical potential of a quasi-two-dimensional electron gas at low-temperatures

Abstract

An analysis is made of the low-temperature behavior of the chemical potential [Formula: see text] of a quasi-two-dimensional electron gas near the resonance point (at the bottom of the miniband) and far from it. Low-temperature analytical formulas for [Formula: see text] are obtained under the conditions of the existence of an arbitrary number of minibands. It is shown that with the increasing temperature near the resonance point, the chemical potential decreases linearly and exponentially slowly in the middle of the resonance points. Analytical formulas are compared to the numerical solutions.