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.

中文翻译：

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一种准二维电子气的热容

介绍了研究准二维电子气的热力学性质的数值和分析结果。分析了态密度、化学势的温度导数以及共振点和远离共振点的气体的热容量。结果表明，根据热容对化学势的依赖性，在共振点处有额外的步骤。附加台阶的宽度随温度增加。随着温度的升高，当主要步骤实际上变得模糊时，附加步骤仍然有明显的痕迹。