Theory of Cyclotron Resonance in Anisotropic Metals

Abstract

The semi-classical Boltzmann theory of Rodriguez for an isotropic metal is extended to the simplest model of a uniaxial anisotropic metal, in which the surfaces of constant energy take the form of ellipsoids of revolution about the principal axis of the crystal. The surface impedance, in the extreme anomalous skin effect region and in the presence of a constant magnetic field parallel to the metal surface, is calculated assuming the specular reflection boundary condition and including the interaction between the individual circular motion of the conduction electrons and the electric field produced by a polarization of the charge distribution in the metal. This model, although somewhat artificial, makes it possible to carry out the calculation exactly and we can see the main features of the phenomenon of cyclotron resonance in anisotropic metals.