Abstract
Numerical and analytical results of the investigation of the thermodynamic properties of a quasi-2D electron gas are presented. The density of states, the temperature derivative of the chemical potential, and the heat capacity of the gas at the resonance points and away from it are analyzed. It is shown that, in the dependence of the heat capacity on the chemical potential, there are additional steps at the resonance points. The width of the additional steps increases with temperature. With the increase in temperature, when the main steps are practically blurred, there are still visible marks from the additional steps.
Highlights
A quasi-two-dimensional electron gas in heterostructural quantum wells causes both fundamental and applied interest, since the spatial quantization of the carrier energy leads to the manifestation of interesting low-dimensional effects [1,2,3,4,5,6,7,8]
Of particular interest is the behavior of a two-dimensional electron gas in a magnetic field [9,10,11,12,13,14,15], since the latter can significantly change the properties of the system
It is known that the main reason for the manifestation of size-quantum effects in a gas is a stepwise change in the density of states at critical points, i.e., at the points of resonance, where the chemical potential μ is compared with the energy levels En of spatial quantization [1]
Summary
A quasi-two-dimensional electron gas in heterostructural quantum wells causes both fundamental and applied interest, since the spatial quantization of the carrier energy leads to the manifestation of interesting low-dimensional effects [1,2,3,4,5,6,7,8]. It is known that the main reason for the manifestation of size-quantum effects in a gas is a stepwise change in the density of states at critical points, i.e., at the points of resonance, where the chemical potential μ is compared with the energy levels En of spatial quantization [1]. Such a change in the density of states manifests itself in one form or another in all the observed thermodynamic quantities. Based on known thermodynamic relationships, the density of states, the temperature derivative of the chemical potential, and the heat capacity of a two-dimensional electron gas are analyzed For these quantities, low-temperature asymptotic formulas are obtained.
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