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We microscopically derive the spin diffusion equation in an s-wavesuperconductor in the vicinity of the superconducting transition temperatureTc. Applying the general relation between the relaxation function and theresponse function to the present spin diffusion problem, we examine how thespin relaxation time and the spin diffusion coefficient are renormalized in thesuperconducting state. The analysis reveals that, below Tc, both the spinrelaxation time and the spin diffusion coefficient are increased, resulting inan enhancement of the spin diffusion length. The present result may provide anexplanation for the recent observation of an enhanced spin pumping signal belowTc in a Py/Nb/Pt system that is free from the coherence peak effect.

Spin diffusion equation in superconductors in the vicinity of Tc