A multiple scattering method for solving Bogoliubov-de Gennes equations of superconductivity

Abstract

We present a semi-phenomenological strategy for studying the density functional theory for superconductors. Furthermore, we develop a multiple scattering approach for solving the corresponding Kohn-Sham-Bogoliubov-de Gennes (KSBG) equations self-consistently. We argue that the solutions of such phenomenological equations can throw light on the nature of pairing in the new high temperature superconductors. To illustrate the powers of the approach we study explicitly the quasi-particle spectra and the wave vector dependence of the superconducting gap function Δ k for a one-dimensional model. This model has been chosen so that its numerical solutions display most features of three-dimensional calculations.