Self-consistent interface properties of d- and s-wave superconductors

Abstract

We develop a method to solve the Bogoliubov-de Gennes equation for superconductors self-consistently, using the recursion method. The method allows the pairing interaction to be either local or nonlocal, corresponding to (Formula presented)- and (Formula presented)-wave superconductivity, respectively. Using this method we examine the properties of various (Formula presented) and (Formula presented) interfaces. In particular, we calculate the spatially varying density of states and order parameter for the following geometries: (i) (Formula presented)-wave superconductor to normal metal, (ii) (Formula presented)-wave superconductor to normal metal, (iii) (Formula presented)-wave superconducto..