Electrodynamics of Fulde-Ferrell-Larkin-Ovchinnikov superconducting state

The Ginzburg-Landau theory of the vortex lattice for clean isotropic three-dimensional superconductors is developed, including the space variation of currents and fields, in the limit when the critical field is mainly determined by the paramagnetic depairing effect and the orbital effect is of minor importance. Then, in addition to the Abrikosov vortex lattice, the formation of a Fulde-Ferrell-Larkin-Ovchinnikov state is favored. In this case, the diamagnetic superfluid currents mainly come from paramagnetic interaction of electron spins with the local magnetic field, and not from the kinetic energy response to the external field as usual. We find that the stable vortex lattice keeps its triangular structure as in the habitual Abrikosov mixed state, while the internal magnetic field acquires components perpendicular to the applied magnetic field. Experimental possibilities related to this prediction are discussed.