High-frequency conductivity of a polar semiconductor with anisotropic conduction valleys

Abstract

The systematic study of the high-frequency wavevector-dependent conductivity in the presence of static scatterers is presented for the multicomponent anisotropic plasma, coupled with optical phonons in the polar way. The kinetic equation is solved in the self-consistent-field approximation, expanding the one-particle density operator in powers of the screened static imperfection field and radiation electromagnetic field. The conductivity is determined by the current quadratic in the imperfection field and linear in radiation field, averaged over the statistical distribution of imperfections. The exact expression for the complex conductivity tensor, which properly accounts for collective effects, is obtained for the quantum plasma. In the zero-wavevector and isotropic limits with the neglect of coupling with phonons or making some assumptions about the impurity statistics, it agrees with the results of Ron and Tzoar (1963), or of McCumber (1966).