Funct. Mater. 2023; 30 (4): 580-589.

doi:https://doi.org/10.15407/fm30.04.580

Electron gas magnetism in a semiconductor.Quantum well with a parabolic potential in a strong magnetic field

Khanlar Hasanov1, Jahangir Huseynov2, Famil Mammadov1, Rahim Rahimov3, Vusale Dadashova3, Nagi Gasimov4, Aynura Hadiyeva4, Ibrahim Abbasov4

1Academy of the Ministry of Emergency Situations of the Republic of Azerbaijan, Baku, Azerbaijan
2Azerbaijan State Pedagogical University, Baku, Azerbaijan
3Baku State University, Baku, Azerbaijan
4Azerbaijan State Oil and Industry University, Baku, Azerbaijan

Abstract: 

Analytical expressions have been obtained for the density of states, reduced chemical potential, and magnetic susceptibility for a degenerate and nondegenerate electron gas in a quantum well in a strong magnetic field. It has been shown that as the magnetic field increases in the strongly degenerate case, the quantum levels below the Fermi level cross the Fermi level, resulting in jump oscillations of the density of states, reduced chemical potential, and magnetic susceptibility.

Keywords: 
reduced chemical potential, magnetic susceptibility, degenerate and non-degenerate electron gas, quantum well, confinement parabolic potential
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