Manifestation of extrinsic spin Hall effect in superconducting structures: Non-dissipative magnetoelectric effects

Abstract

We present a comprehensive quasiclassical approach for studying transport properties of superconducting diffusive hybrid structures in the presence of extrinsic spin-orbit coupling. We derive a generalized Usadel equation and boundary conditions that in the normal state reduce to the drift-diffusion theory governing the spin-Hall effect in inversion symmetric materials. These equations predict the non-dissipative spin-galvanic effect, that is the generation of supercurrents by a spin-splitting field, and its inverse -- the creation of magnetic moment by a supercurrent. These effects can be seen as counterparts of the spin-Hall, anomalous Hall and their inverse effects in the superconducting state. Our theory opens numerous possibilities for using superconducting structures in magnetoelectronics.

10 pages, 2 figures

References in corpus (5)

• A spin triplet supercurrent through the half-metallic ferromagnet CrO2
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Theory of coupled spin-charge transport due to spin-orbit interaction in inhomogeneous two-dimensional electron liquids
• Spin-Hall effects in a Josephson contact
• Scattering by magnetic and spin-orbit impurities and the Josephson current in superconductor-ferromagnet-superconductor junctions

Cited by in corpus (31)

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• Quasiclassical theory of magnetoelectric effects in superconducting heterostructures in the presence of the spin-orbit coupling
• Creation of spin-triplet Cooper pairs in the absence of magnetic ordering
• Magnetoelectric effects in Josephson junctions
• Usadel equation in the presence of intrinsic spin-orbit coupling: A unified theory of magneto-electric effects in normal and superconducting systems
• Finite-frequency spin susceptibility and spin pumping in superconductors with spin-orbit relaxation
• Skew Andreev reflection in ferromagnet/superconductor junctions
• Intrinsic Superspin Hall Current
• Extrinsic Spin-Charge Coupling in Diffusive Superconducting Systems
• Anomalous Josephson Hall effect charge and transverse spin currents in superconductor/ferromagnetic insulator/superconductor junctions
• Nonreciprocal superconducting transport and the spin Hall effect in gyrotropic structures
• Electrically controllable spin filtering based on superconducting helical states
• Superconductivity provides a giant enhancement to the spin battery effect
• Quasiclassical boundary conditions for spin-orbit coupled interfaces with spin-charge conversion
• Direct and inverse superspin Hall effect in two-dimensional systems: Electrical detection of spin supercurrents
• Spin supercurrent in superconductor/ferromagnet van-der-Waals heterostructures
• Magnetoelectric effects in superconductor/ferromagnet bilayers
• Spin-charge conversion in disordered two-dimensional electron gases lacking inversion symmetry
• Dissipationless Vector Drag--Superfluid Spin Hall Effect
• Supercurrent-induced long-range triplet correlations and controllable Josephson effect in superconductor/ferromagnet hybrids with extrinsic SOC
• Theory of Spin Injection in Two-dimensional Metals with Proximity-Induced Spin-Orbit Coupling
• Probing the magnetoelectric effect in noncentrosymmetric superconductors by equal-spin Andreev tunneling
• Dynamical Hall responses of disordered superconductors
• Proximity effect and p-wave superconductivity in s-wave superconductor/helimagnet heterostructures
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• Gradient expansion of the non-Abelian gauge-covariant Moyal star-product
• Magnetoelectric effects in superconductors due to spin-orbit scattering: a non-linear $\sigma$-model description
• Superconducting magnetoelectric effects in mesoscopic hybrid structures