Spin diffusion equation in superconductors in the vicinity of Tc

Abstract

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

arXiv comment10 pages, 4 figures

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• Spin pumping between noncollinear ferromagnetic insulators through thin superconductors
• Ferromagnetic resonance modulation in $d$-wave superconductor/ferromagnetic insulator bilayer systems
• Controlling spin supercurrents via nonequilibrium spin injection
• Spin current injection via equal-spin Cooper pairs in ferromagnet/superconductor heterostructures
• Spin Hall effect generated by fluctuating vortices in type-II superconductors
• Spin pumping into a spin glass material
• Bias current dependence of superconducting transition temperature in superconducting spin valve nanowires