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- Title
Calculation of the Fermi–Dirac Function Distribution in Two-Dimensional Semiconductor Materials at High Temperatures and Weak Magnetic Fields.
- Authors
Erkaboev, U. I.; Gulyamov, G.; Mirzaev, J. I.; Rakhimov, R. G.; Sayidov, N. A.
- Abstract
This article investigated the effects of a quantizing magnetic field and temperature on Fermi energy oscillations in nanoscale semiconductor materials. It is shown that the Fermi energy of a nanoscale semiconductor material in a quantizing magnetic field is quantized. The distribution of the Fermi–Dirac function is calculated in low-dimensional semiconductors at weak magnetic fields and high temperatures. The proposed theory explains the experimental results in two-dimensional semiconductor structures with a parabolic dispersion law. Fermi energy oscillations in quantum wells (quantum wells, mainly GaAs/GaAlAs heterostructures) for measuring two-dimensional electron gases m = 0.0665m0, N = 8.1011 cm2, G = 0.5 meV and T = 6 K were shown in different magnetic fields and constant temperature, to compare the theory with the experiment. It can be seen that Fermi energy at a constant electron density is quantized in a very strong way as a function of B in theoretical and experimental plots.
- Subjects
HEAT resistant materials; SEMICONDUCTOR materials; FERMI-Dirac distribution; MAGNETIC fields; QUANTUM wells; TWO-dimensional electron gas
- Publication
NANO, 2021, Vol 16, Issue 9, p1
- ISSN
1793-2920
- Publication type
Article
- DOI
10.1142/S1793292021501022