Current-Carrying States in Fulde-Ferrell-Larkin-Ovchinnikov superconductors

Fulde-Ferrell-Larkin-Ovchinnikov(FFLO) superconducting state is believed to be favorable in Pauli-limited heavy-fermion superconductors such as CeCoIn5. Based on Bogliubov de-Gennes equations, we present a theoretical study of current-carrying FFLO states, including the stability and characterization of a superconducting order parameter for a current-carrying FFLO state. Inhomogeneous and anisotropic current density distribution and quasi-particle current contribution related to the order parameter modulation and sign change are found in FFLO state, which are expected to provide an easy way to detect the existence of an FFLO state.