Domain wall superconductivity in ferromagnetic superconductors

Abstract

On the basis of a phenomenological Ginzburg-Landau approach we investigate the problem of triplet order parameter nucleation in a ferromagnetic superconductor with a domain structure in an applied external magnetic field. The critical temperature of the superconductivity nucleation is shown to increase near the domain boundaries and to have a peculiar field dependence. Our results are also applied to a description of the superconductivity localized near the domain wall in $S/F$ heterostructures.