Superconducting Pair States for Transition Metals in the Atomic Representation

Abstract

This paper is a sequel to one by Appel and Kohn, in which the theory of superconductivity was cast into the Wannier (or atomic) representation. This representation should be especially useful for narrow-band superconductors. In the present paper, group theoretical methods are used to show how to construct appropriately symmetrized pair states in this atomic representation. Specific applications to $s$ and $d$ bands in bcc and fcc lattices, and to $d$ bands in $\beta$-tungsten structures are worked out.