Quasiclassical boundary conditions for spin-orbit coupled interfaces with spin-charge conversion

Abstract

The quasiclassical theory of superconductivity provides a methodology to study emergent phenomena in hybrid structures comprised of superconductors interfaced with other materials. A key component in this theory is the boundary condition that the Green functions describing the materials must satisfy. Recently, progress has been made toward formulating such a boundary condition for interfaces with spin-orbit coupling, the latter playing an important role for several phenomena in spintronics. Here, we derive a boundary condition for spin-orbit coupled interfaces that includes gradient terms which enables the description of spin-Hall like effects with superconductors due to such interfaces. As an example, we show that the boundary conditions predict that a supercurrent flowing through a superconductor that is coupled to a normal metal via a spin-orbit interface can induce a non-local magnetization in the normal metal.

arXiv comment9 pages, 2 figures. Corrected here a few minor typos present in published version

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Cited by in corpus (4)

• Quasiclassical theory of superconducting spin-splitter effects and spin-filtering via altermagnets
• Coupling the Higgs mode and ferromagnetic resonance in spin-split superconductors with Rashba spin-orbit coupling
• Interfacial spin-orbit coupling in superconducting hybrid systems
• Density of states in the heterostructure ferromagnetic insulator-superconductor-ferromagnetic insulator