Dielectric response functions of multi-component hot carrier plasmas

Dielectric responses of a multi-component plasma are investigated at finite temperature considering the case of optically generated carriers in a wurtzite GaN. The effective dielectric function and polarizability functions $\Pi_c (q,\omega)$ are determined such that they satisfy the Dyson equations of the effective interactions among plasma components. The behavior of plasma component-resolved electronic polarizability functions and the effective dielectric function of the plasma are examined including the effects of dynamic screening at finite temperature. Spectral analysis of the dielectric response functions are performed and their dynamic and nonlocal (finite-$q$) behaviors are explored. Our result shows that, for a multi-component plasma of high carrier densities, the well-defined optic plasmonic modes are clearly seen well outside the single particle excitation continuum of lighter mass electrons and that the additional low frequency acoustic plasmonic branch is located outside single particle excitation continuum of doubly degenerate heavier mass A-holes. The contribution of the heavier mass species to dressed $\Pi_c (q,\omega)$ is very similar to the case of bare $\Pi_c^0 (q,\omega)$. \pacs{72.20.Ht, 71.38.-k, 61.85.+p} \keywords{Hot carriers, Multi-component plasma, Dielectric response, Dielectric function, Polarizability functions, wurtzite GaN}