Peculiarities of the Temperature Dependence of the Chemical Potential of a Two-dimensional Electron Gas in Magnetic Field

被引：7

作者：

Abdulazizov, B. T. ^{[1
]}

Gulyamov, G. ^{[2
]}

Baymatov, P. J. ^{[3
]}

Inoyatov, Sh T. ^{[3
]}

Tokhirjonov, M. S. ^{[3
]}

Juraev, Kh N. ^{[1
]}

机构：

[1] Uzbek Acad Sci, Phys Tech Inst, Chingiz Aytmatov 2B, Tashkent 100084, Uzbekistan

[2] Namangan Engn Construct Inst, Namangan 116003, Uzbekistan

[3] Namangan State Univ, Uychinskaya 316, Namangan 716019, Uzbekistan

来源：

SPIN | 2022年 / 12卷 / 01期

关键词：

Quantum well; Two-dimensional electron gas; Landau levels; magnetic oscillations; level broadening; chemical potential; Sommerfeld expansion; HEAT;

D O I：

10.1142/S2010324722500023

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A numerical calculation of the temperature dependence of the chemical potential and for various values of the filling factor nu of the Landau level is carried out. The degree of filling of each Landau level is found as a function of temperature. Analytical calculations were carried out in the model of an ideal Fermi gas both without taking into account the broadening of the Landau levels Gamma = 0 and taking into account their broadening Gamma > 0. An analytical formula is found that describes the dependences of mu(T, nu) at Gamma = 0 and low temperatures. A low-temperature formula for the dependence of mu(T/Gamma, epsilon(F)) based on the Sommerfeld expansion is also given. The influence of the intra- and interlevel thermal excitations on changes in the chemical potential with temperature is discussed.

引用

页数：7

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