Effect of Boundary Conditions on the Electrical and Galvanomagnetic Properties of a Thin Metal Film

The problem of determining the high-frequency electrical conductivity and Hall constant for a thin metal film placed in a transverse stationary magnetic field and in a longitudinal alternating electric field is solved by the kinetic method. The relation between the film thickness and electron free path length is supposed to be arbitrary. The skin effect is not taken into account. The diffuse-specular mechanism of electron reflection from the film boundaries is considered with similar specular-reflection coefficients for the upper and lower surfaces of the film taken into account. The electrical conductivity and Hall constant are studied as functions of dimensionless parameters: electric-field frequency, magnetic-field induction, and film thickness.