Ginzburg-Landau theory of Fulde-Ferrell-Larkin-Ovchinnikov states in unconventional singlet superconductors with impurities

TL;DR

This paper develops a Ginzburg-Landau theoretical framework to study FFLO phases in unconventional singlet superconductors affected by impurities and Zeeman fields, revealing distinct impurity effects compared to s-wave superconductors.

Contribution

It introduces a novel Ginzburg-Landau approach for unconventional superconductors with impurities and magnetic fields, highlighting unique impurity influences on FFLO phases.

Findings

Impurities qualitatively alter FFLO phases in unconventional superconductors.

The behavior of FFLO states differs significantly from s-wave cases.

The theory provides insights into impurity effects on superconducting phase stability.

Abstract

We derive the Ginzburg-Landau theory of unconventional singlet superconductors in the presence of a Zeeman field and impurities, in order to examine the resulting Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phases. We show that the behavior of the FFLO phases in unconventional superconductors in the presence of impurities is qualitatively different from that found for s-wave superconductors.