Abstract
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 nonequilibrium distribution there is a natural easily adjustable parameter, the voltage, which can control the FFLO state. This FFLO state can be of different types: plane wave, stationary wave, and even two-dimensional structures are possible. Some types of FFLO state are accompanied by a magnetic flux, which can be observed experimentally. All the types of FFLO state can be revealed through the temperature dependence of the linear response of the system on the applied magnetic field near ${T}_{c}$, which strongly differs from that for the homogeneous state.
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