Nonequilibrium Superconductivity near Spin Active Interfaces
Erhai Zhao, Tomas Lofwander, and J. A. Sauls

TL;DR
This paper develops a Riccati-based theoretical framework to analyze nonequilibrium superconductivity at spin-active interfaces, enabling detailed calculations of spin, charge, and heat transport in hybrid superconducting-magnetic systems.
Contribution
It introduces boundary conditions for Riccati distribution functions at spin-active interfaces, broadening the understanding of nonequilibrium transport in superconductor-magnet hybrid structures.
Findings
Derived boundary conditions for Riccati functions at spin-active interfaces
Calculated spin, charge, and heat transport in NFS and SFS contacts
Enhanced theoretical tools for superconducting-magnetic hybrid systems
Abstract
The Riccati formulation of the quasiclassical theory of nonequilibrium superconductors is developed for spin-dependent scattering near magnetic interfaces. We derive boundary conditions for the Riccati distribution functions at a spin-active interface that are applicable to a wide range of nonequilibrium transport properties of hybrid systems of superconducting and magnetic materials. We use these results to calculate spin, charge and heat transport for normal metal-ferromagnet-superconductor (NFS) and superconducting-ferromagnetic-superconducting (SFS) point contacts.
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