RAS Nano & ITМикроэлектроника Russian Microelectronics

  • ISSN (Print) 0544-1269
  • ISSN (Online) 3034-5480

Influence of Boundary Conditions on Quantum Magnetotransport in a Thin Film

PII
10.31857/S0544126923700400-1
DOI
10.31857/S0544126923700400
Publication type
Status
Published
Authors
Volume/ Edition
Volume 52 / Issue number 4
Pages
262-281
Abstract
Analytical expressions are obtained for the Hall coefficients and the magnetoresistance of a thin semiconductor film. The case of a weak magnetic field is considered and the effects related to the splitting of the energy spectrum of charge carriers into Landau levels are not taken into account. The isoenergetic surface of a semiconductor material is an ellipsoid of revolution (spheroid). The transition to the limiting cases of degenerate and nondegenerate electron gases and mirror boundaries is carried out. The behavior of charge carriers is described by the quantum Liouville equation. The effect of the surface scattering of charge carriers is taken into account through the Soffer boundary conditions. The dependence of the Hall coefficients and magnetoresistance on the film thickness, induction of an external magnetic field, and film surface roughness is analyzed.
Keywords
тонкая пленка уравнение Лиувилля модель Соффера коэффициент Холла коэффициент магнетосопротивления
Date of publication
16.09.2025
Year of publication
2025
Number of purchasers
0
Views
15

References

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At the Ministry of Education and Science of the Russian Federation

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