INTERACTING MANY-POLARON SYSTEM IN DEGENERATE SEMICONDUCTORS

We present a theoretical study of the coupled electron phonon in a degenerate polar electron gas. The ground-state energy of the many-polaron gas is determined within a dynamical screening treatment and several approximations for the dielectric function. The effect of carrier densities on the static screening correction of the electron-phonon interaction to the polaronic energy and effective mass is investigated within second-order perturbation theories. Electron self-energies are also evaluated. It is shown that the polaronic energies have lower values in the dynamical approach as compared with the static one for all electron densities. Polaron effective masses derived from different perturbative schemes show quantitative different results which are properly interpreted.