Effect of the Boundary Conditions on the High-Frequency Electrical Conductivity of a Thin Conducting Layer in a Longitudinal Magnetic Field

The problem of the high-frequency conductivity of a thin conducting layer in a longitudinal magnetic field is solved using a kinetic approach taking into account the mirror-diffusion boundary conditions. The specularity coefficients of the layer surfaces are assumed to be different. An analytical ex...

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Bibliographic Details
Published in:Semiconductors (Woodbury, N.Y.) N.Y.), 2020-09, Vol.54 (9), p.1039-1046
Main Authors: Kuznetsova, I. V., Savenko, O. V., Kuznetsov, P. A.
Format: Article
Language:English
Subjects:
2020
Boundary conditions
Chemical potential
Coefficients
Comparative analysis
Dielectric films
Diffusion layers
Dimensionless analysis
Electric fields
Electrical resistivity
Electron gas
Magnetic fields
Magnetic induction
Magnetic Materials
Magnetism
Magnetization
Magnetoresistance
Magnetoresistivity
March 10–13
Mathematical analysis
Metallic films
Nizhny Novgorod
Physics
Physics and Astronomy
Thickness
Thin films
Xxiv International Symposium “Nanophysics and Nanoelectronics”
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Summary:The problem of the high-frequency conductivity of a thin conducting layer in a longitudinal magnetic field is solved using a kinetic approach taking into account the mirror-diffusion boundary conditions. The specularity coefficients of the layer surfaces are assumed to be different. An analytical expression is derived for the dimensionless integrated conductivity as a function of the dimensionless parameters, including the layer thickness, electric-field frequency, magnetic induction, chemical potential, and surface specularity coefficients. The limiting cases of a degenerate and nondegenerate electron gas are considered. A comparative analysis of theoretical calculations with the experimental data is made. A method for determining the specularity coefficients and the carrier mean free path using the longitudinal magnetoresistance of a thin metallic film is demonstrated.
ISSN:1063-7826
1090-6479
DOI:10.1134/S106378262009016X