The effect of anisotropy of an isoenergetic surface on the electrical conductivity of a thin conductive film in a longitudinal magnetic field

An analytical expression of the electrical conductivity of a thin conductive film in a longitudinal magnetic field is obtained considering an ellipsoidal isoenergetic surface. The model of diffuse boundary conditions is used as boundary conditions for the charge carrier distribution function. The limiting cases of degenerate, non-degenerate electron gas, spherical isoenergetic surface are considered. The dependence on the effective mass is shown. A comparative analysis of theoretical calculations with experimental data is carried out.