Consequences of Shiba's theory of magnetic impurities in superconductors, beyonds-wave scattering

Abstract

Relations are derived from which all of the thermodynamics and transport properties can be calculated for superconductors with magnetic impurities according to Shiba's theory. Scattering of all partial waves are included, beyond the usual $s$-wave scattering treatments. A band of local excited states appears for each partial wave which is included. As an example of a thermodynamic property, the discontinuity in the specific heat at the superconducting transition is calculated.