半填充朗道亚带中二维电子气体的内能和热容

IF 1.7 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2025-09-03 DOI:10.1007/s10773-025-06115-1

B. T. Abdulazizov, P. J. Baymatov, O. M. Yunusov, Kh. N. Juraev, M. S. Tokhirjonov

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引用次数: 0

摘要

采用解析和数值方法研究了态密度为高斯分布的半填充朗道亚带中二维电子气体的内能和热容。在低\(\:{k}_{B}T<<{\Gamma\:}\)和高\(\:{k}_{B}T>>{\Gamma\:}\)温度范围内，找到了内能和热容量的解析公式。讨论了热容温度依赖性出现峰值的原因。结果表明，在\(\:{k}_{B}T\ge\:{\Gamma\:}\)区域，由于子带宽度的狭窄，电子气体的内能达到饱和。分析结果与数值数据进行了图形化比较。

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Internal Energy and Heat Capacity of a Two-Dimensional Electron Gas in a Half-Filled Landau Subband

The internal energy and heat capacity of a two-dimensional electron gas in a half-filled Landau subband for a Gaussian distribution of the density of states are studied by analytical and numerical methods. Within the limits of low \(\:{k}_{B}T<<{\Gamma\:}\) and high \(\:{k}_{B}T>>{\Gamma\:}\) temperatures, analytical formulas for internal energy and heat capacity were found. The reason for the appearance of a peak in the temperature dependences of heat capacity is discussed. It is shown that in the region of \(\:{k}_{B}T\ge\:{\Gamma\:}\), saturation of the internal energy of the electron gas is observed due to the narrowness of the subband width. The analytical results are graphically compared with the numerical data.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.