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We predict the very large spin Hall effect in type-II superconductors whichmechanism is drastically different from the previously known ones. We find thatin the flux-flow regime the spin is transported by the spin-polarized Abrikosovvortices moving under the action of the Lorenz force in the directionperpendicular to the applied electric current. Due to the large vortexvelocities the spin Hall angle can be of the order of unity in realisticsystems based on the high-field superconductors or the recently developedsuperconductor/ferromagnetic insulator proximity structures. We propose therealization of high-frequency pure spin current generator based on the periodicstructure of moving vortex lattices. We find the patterns of charge imbalanceand spin accumulation generated by moving vortices, which can be used for theelectrical detection of individual vortex motion. The new mechanism of inverseflux-flow spin Hall effect is found based on the driving force acting on thevortices in the presence of injected spin current which results in thegeneration of transverse voltage.

Flux flow spin Hall effect in type-II superconductors with spin-splitting field