On the theory of “odd-pairing” superconductors

Abstract

We consider the model of superconducting pairing with the energy gap function which is odd over k−k F . In this case superconductivity is possible even in the presence of an arbitrarily large point-like repulsion between electrons, which is attractive for the theory of high-temperature superconductors. We discuss mainly a model pairing interaction for which the BCS equations can be solved exactly, allowing the complete analysis of the interplay of the usual ("even") and "odd" pairing, depending on the coupling constant. We also show that the normal impurities (disorder) lead to a rapid degradation of the "odd" pairing, which is even more rapid than in case of magnetic impurities in traditional superconductors.