Abstract
A Green function formalism is employed to perform an analytical
calculation of the dielectric function due to an electron-phonon
interaction within a Hartree-Fock approximation. Our theoretical
approach is based on the polar or Frohlich type of electron-phonon
interaction, with the electronic hopping between the first-neighbor, to
characterize the polaron model. Our numerical results for the dielectric
function profile show resonant peaks, all of them at lower frequencies
than the main one, attributed to the polaron crossover regime between
the quasi-free-electrons and the small polarons. (c) 2007 Elsevier B.V.
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