Abstract
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-Dira c distribution function at high temperatures and weak magnetic fields. With the help of the propos ed formula, the experimental results in nanoscale semiconductor structures are investigated. Using fo rmula, Fermi energy oscillations are explained for two-dimensional electron gases in quantum wells (quantum wells, mainly GaAs/GaAlAs heterostructures) with a parabolic dispersion law. Keywоrds:quаntizing mа gnetic field, temperаture, Fermi energy, n аnоscаle semicоnductоrs,twо-dimensiоnаl structures, dispersiоn.
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