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 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.