On the theory of superconductivity in ferromagnetic superconductors with triplet pairing

TL;DR

This paper develops a theoretical framework for ferromagnetic superconductors with triplet pairing, deriving Ginzburg-Landau equations, analyzing impurity effects, and discussing critical field determination to understand their complex two-band nature.

Contribution

It introduces a Gor'kov formalism for ferromagnetic triplet superconductors with strong spin-orbit coupling and explores impurity effects on critical temperature.

Findings

Critical temperature depends on impurity concentration.

Nonuniversality of T_c indicates two-band superconductivity.

Derived Ginzburg-Landau equations for these materials.

Abstract

We point out that ferromagnetic superconductors with triplet pairing and strong spin-orbit coupling are even in the simplest case at least two-band superconductors. The Gor'kov type formalism for such superconductors is developed and the Ginzburg-Landau equations are derived. The dependence of the critical temperature on the concentration of ordinary point-like impurities is found. Its nonuniversality could serve as a qualitative measure of the two-band character of ferromagnetic superconductors. The problem of the upper critical field determination is also discussed.