Calculation of the Fermi–Dirac Function Distribution in Two-Dimensional Semiconductor Materials at High Temperatures and Weak Magnetic Fields
U. I. Erkaboev, G. Gulyamov, J. I. Mirzaev, R. G. Rakhimov, N. A. Sayidov
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.
Topics & Concepts
Fermi–Dirac statisticsCondensed matter physicsSemiconductorFermi levelMaterials scienceMagnetic fieldFermi energyDistribution functionNanoscopic scaleFermi Gamma-ray Space TelescopeMagnetic semiconductorPhysicsQuantum mechanicsNanotechnologyOptoelectronicsElectronSurface and Thin Film PhenomenaQuantum and electron transport phenomenaTopological Materials and Phenomena