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Periodic in time spin-Hall current and spin polarization induced by a dcelectric bias has been calculated in a superconductor-normal2DEG-superconductor (SNS) Josephson junction. We assumed that the band energiesof electrons in the normal system are splitted due to Rashba spin-orbitcoupling. The transport parameters have been calculated within the diffusionapproximation and using perturbation expansion over a small SN contacttransparency. We found out that in contrast to the stationary Josephson effect,the spin-Hall current does not turn to zero. Besides a direct proximity effectcaused by Cooper pair's transition into a triplet state, the spin current andpolarization are also driven by a periodic electric field associated with thecharge imbalance.

Spin-Hall current and spin polarization in an electrically biased SNS Josephson junction