Intrinsic Spin Hall Effect in s-wave Superconducting State: Analysis of Rashba Model

Abstract

A general expression for the spin Hall conductivity (SHC) in the s-wave superconducting state at finite temperatures is derived. Based on the expression, we study the SHC in a two-dimensional electron gas model in the presence of Rashba spin-orbit interaction (SOI). The SHC is zero in the normal state, whereas it takes a large negative value as soon as the superconductivity occurs, due to the change in the quasiparticle contributions. Since this remarkable behavior is independent of the strength of the SOI, it will be widely observed in thin films of superconductors with surface-induced Rashba SOI, or in various non-centrosymmetric superconductors.

4 pages, to be published in Phys. Rev. Lett

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• Persistent spin oscillations in a spin-orbit-coupled superconductor
• A novel superconducting-velocity--tunable quasiparticle state and spin relaxation in GaAs (100) quantum wells in proximity to $s$-wave superconductor
• Direct and inverse superspin Hall effect in two-dimensional systems: Electrical detection of spin supercurrents
• Phase biasing of a Josephson junction using Rashba-Edelstein effect
• Anomalous Josephson Hall effect in magnet/triplet superconductor junctions
• Magnetoelectric Response in Electric Octupole State: Possible Hidden Order in Cuprate Superconductors
• Anomalous enhancement of spin Hall conductivity in superconductor/normal metal junction
• Bias current dependence of superconducting transition temperature in superconducting spin valve nanowires
• Fluctuation contribution to Spin Hall Effect in Superconductors
• Spin Hall Conductivity in the impure two-dimensional Rashba s-wave superconductor
• Microscopic Insights into London Penetration Depth: Application to CeCoIn${}_5^{}$
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