Effective interaction potential for copper oxide superconductors

Abstract

We calculate the effective interaction potential for copper oxide superconductors which consist of one and two CuO planes per unit cell, respectively. It is shown that for small angle scattering of charge carriers at the Fermi surface, a single polarization term shows well-behaved acoustic as well as optic plasmon modes supported by a CuO layer and can give rise to a reasonable value of T c for copper oxide superconductors consisting of one Cuz.sbnd;Olayers per unit cell. The calculation of T c for copper oxide superconductors consisting of one CuO layer per unit cell is reported here. The calculated effective interaction potentials are also compared with the effective interaction potential for an isolated two-dimensional free electron layer. Our calculation shows that the coupling between CuO conducting layers makes the effective potential more attractive and less repulsive.