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

A numerical calculation of the temperature dependence of the chemical potential and for various values of the filling factor [Formula: see text] 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 [Formula: see text] and taking into account their broadening [Formula: see text]. An analytical formula is found that describes the dependences of [Formula: see text] at [Formula: see text] and low temperatures. A low-temperature formula for the dependence of [Formula: see text] 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.

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