This article shows that the Fermi levels of a nanoscale semiconductor in a quantizing magnetic field are quantized. A method is proposed for calculating the Fermi energy oscillations for a two-dimensional electron gas at different magnetic fields and temperatures. An analytical expression is obtained for calculating the Fermi-Dirac distribution function at high temperatures and weak magnetic fields. With the help of the proposed formula, the experimental results in nanoscale semiconductor structures are investigated. Using formula, Fermi energy oscillations are explained for two-dimensional electron gases in quantum wells (quantum wells, mainly GaAs/GaAlAs heterostructures) with a parabolic dispersion law
U.I., Erkаbоev; N.А., Sаyidоv; R.G., Rаkhimоv; and J.I., Mirzaev
"INFLUENCE ОF А STRОNG MАGNETIC FIELD ОN FERMI ENERGY ОSCILLАTIОNS IN TWО-DIMENSIОNАL SEMICОNDUCTОR MАTERIАLS,"
Euroasian Journal of Semiconductors Science and Engineering: Vol. 3:
40, Article 5.
Available at: https://uzjournals.edu.uz/semiconductors/vol3/iss40/5