Vortex Lattice Structure of Fulde-Ferrell-Larkin-Ovchinnikov Superconductors

TL;DR

This paper develops a method to analyze vortex lattice structures in FFLO superconductors, revealing how the order parameter profile depends on Landau level index and vortex arrangement, aiding experimental identification.

Contribution

It introduces an efficient approach to evaluate Landau-Ginzburg free energies for FFLO vortex lattices, clarifying the order parameter's spatial profile and its dependence on vortex configuration.

Findings

Order parameter profile is determined by Landau level index and vortex lattice structure.

Explicit expression for the order parameter spatial profile is derived.

Method simplifies the analysis of vortex configurations in FFLO superconductors.

Abstract

In superconductors with singlet pairing, the inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state is expected to be stabilized by a large Zeeman splitting. We develop an efficient method to evaluate the Landau-Ginzburg free energies of FFLO-state vortex lattices and use it to simplify the considerations that determine the optimal vortex configuration at different points in the phasediagram. We demonstrate that the order parameter spatial profile is completely determined, up to a uniform translation, by its Landau level index n and the vortex Lattice structure and derive an explicit expression for the order parameter spatial profile that can be used to determine n from experimental data.