A Dielectric Approach to High Temperature Superconductivity

Abstract

In this paper we investigate the dielectric response of an electron-ion system to the presence of a pair of charges. From the nature of the dielectric function, it Is shown that a strong attractive pair formation is possible depending on the dispersion of the ion branches. The latter brings a reduction to the sound velocity which is used as a criterion for the superconductivity. By solving the BCS equation with the above dielectric function, we obtain a reasonable value of Te.