For the first time, a mathematical model was developed for determining the effect of temperature and a quantizing magnetic field on oscillations of the Fermi energy in nanoscale semiconductor structures with a parabolic dispersion law. A mathematical expression is derived for calculating the dependence of the distribution of the Fermi-Dirac function on the magnetic field, on the thickness of the quantum well and on the temperature in low-dimensional semiconductor materials. The possibility of calculating the Fermi energy oscillations in two-dimensional electron gases at high temperatures and weak magnetic fields is shown for the first time. The proposed theory explains the experimental results in two-dimensional semiconductor structures with a parabolic dispersion law.
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I., Erkaboev U.; A., Sayidov N.; G., Rakhimov R.; and M., Negmatov U.
"SIMULATION OF THE TEMPERATURE DEPENDENCE OF THE QUANTUM OSCILLATIONS’ EFFECTS IN 2D SEMICONDUCTOR MATERIALS,"
Euroasian Journal of Semiconductors Science and Engineering: Vol. 3:
1, Article 8.
Available at: https://uzjournals.edu.uz/semiconductors/vol3/iss1/8