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.

中文翻译：

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准二维电子气低温化学势特征

分析了准二维电子气在共振点附近（在微带底部）和远离共振点的化学势[公式：见正文]的低温行为。[公式：见正文]的低温解析公式是在任意数量的微带存在的条件下得到的。结果表明，随着共振点附近温度的升高，化学势在共振点中间呈线性指数缓慢下降。解析公式与数值解进行比较。