Abstract
The problem of plasma oscillations in a nondegenerate electron-hole plasma is treated by means of the self-consistent field (SCF) procedure of Landau. This involves writing a Vlasov equation for the electron distribution function in the neighborhood of each minimum-energy point corresponding to the bottom edge of the conduction band and a similar equation for the hole distribution function in the neighborhood of each minimum-energy point corresponding to the top edge of the valence-bond band, then solving this set of equations together with Poisson’s equation for the longitudinal electric field as an initial-value problem. A simple model, which assumes that the energy spectra in the neighborhood of these minimum and maximum energy points are analytic and nondegenerate, is used to incorporate the anisotropic structure of the energy bands into the theoretical formulation. The obtained results for the dispersion relation for the optical and acoustical modes of plasma oscillations in the true collective region of long wavelengths are shown to depend on the orientation of the longitudinal electric field. The obtained results for the frequency spectrum and the corresponding Landau damping rate for the optical mode as a function of wavenumber are applied to a many-valleyn-type semiconductor with silicon as the host material in order to illustrate the dependence of these results on the orientation of the longitudinal electric field.
Published Version
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