Spin Transport in Diffusive Superconductors
Jan Petter Morten, Arne Brataas, Wolfgang Belzig

TL;DR
This paper develops a theoretical framework using the Keldysh formalism to analyze spin and charge transport in diffusive superconductors, accounting for spin-flip scattering and proposing an experimental measurement method.
Contribution
It introduces a set of 4x4 transport equations for charge, energy, spin, and spin energy flow in superconductors, including the effects of magnetic impurities.
Findings
Spin-flip length is renormalized in superconductors.
Proposes an experimental setup to measure spin-accumulation.
Provides a comprehensive theoretical model for spin transport in diffusive superconductors.
Abstract
We employ the Keldysh formalism in the quasiclassical approximation to study transport in a diffusive superconductor. The resulting 4x4 transport equations describe the flow of charge and energy as well as the corresponding flow of spin and spin energy. Spin-flip scattering due to magnetic impurities is included. We find that the spin-flip length is renormalized in the superconducting case and propose an experimental system to measure the spin-accumulation in a superconductor.
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