Calculation of high-frequency conductivity and Hall constant of a thin conductive layer in the view of equal specularity coefficients of its surfaces

Abstract

The kinetic task about high-frequency conductivity and Hall constant of a thin conductive layer placed in the transverse stationary magnetic field and longitudinal alternative electric field is solved. The ratio between the layer thickness and the mean free path of charge carriers is supposed to be arbitrary. The skin effect isn’t taken into account. We consider the diffuse-specular charge carrier reflection mechanism from layer boundaries. Specularity coefficients of the upper and lower layer surfaces are presumed to be equal. The limited cases of the degenerated and non-degenerated electron gas are examined. The dependences of conductivity and Hall constant on the electric field frequency, magnetic field induction, layer thickness and specularity coefficient of layer surfaces are studied.