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Euroasian Journal of Semiconductors Science and Engineering

Euroasian Journal of Semiconductors Science and Engineering

Abstract

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.

References

1. G. Gulyamov, U. I. Erkaboev, N. Y. Sharibaev. Effect of temperature on the thermodynamic density of states in a quantizing magnetic field, Semiconductors 48(10), pp.1287–1292(2014). 2. U. I. Erkaboev, G. Gulyamov, J. I. Mirzaev, R. G. Rakhimov. Modeling on the temperature dependence of the magnetic susceptibility and electrical conductivity oscillations in narrow-gap semiconductors, International Journal of Modern Physics B 34(7), 2050052(2020). 3. I. M. Tsidilkovsky. Electrons and holes in semiconductors, “Science”. Moscow. Russia. 1972. 4. A. Ya. Shik, L. G. Bakueva, S. F. Musikhin, S. A. Rykov. Physics of low-dimensional systems, “Science”, St. Petersburg. Russia. 2001. 5. W. Zawadzki, A. Raymond, M. Kubisa. Reservoir model for two-dimensional electron gases in quantizing magnetic fields: A review, Physica Status Solidi (B) 251(2.3), pp. 247–262(2014). 6. M. P. Mikhailova, V. A. Berezovets, R. V. Parfeniev et al. Vertical transport in type-II heterojunctions with InAs/GaSb/AlSb composite quantum wells in a high magnetic field, Semiconductors 51, pp.1343–1349 (2017).

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