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In-plane FFLO instability in superconductor-normal metal bilayer system under non-equilibrium quasiparticle distribution

It is predicted that a new class of systems - superconductor/normal metal (S/N) heterostructures can reveal the in-plane Fulde-Ferrel-Larkin-Ovchinnikov (FFLO) instability under nonequilibrium conditions at temperatures close to the critical temperature. It does not require any Zeeman interaction in the system. For S/N heterostructures under non-equilibrium distribution there is a natural easily adjustable parameter - voltage, which can control the FFLO-state. This FFLO-state can be of different types: plane wave, stationary wave and, even, 2D-structures are possible. Some types of the FFLO-state are accompanied by the magnetic flux, which can be observed experimentally. All the types of the FFLO-state can reveal through the temperature dependence of the linear response of the system on the applied magnetic field near $T_c$, which strongly differs from that one for the homogeneous state.