6533b854fe1ef96bd12adff6
RESEARCH PRODUCT
Finite-frequency spin susceptibility and spin pumping in superconductors with spin-orbit relaxation
Mikhail Silaevsubject
suprajohtavuusFOS: Physical sciences02 engineering and technologyspin dynamics01 natural sciencessuprajohteetSuperconductivity (cond-mat.supr-con)Condensed Matter::Superconductivity0103 physical sciences010306 general physicsPhysicsSuperconductivityspintronicsSpin pumpingSpintronicsCondensed matter physicsScatteringCondensed Matter - Superconductivity021001 nanoscience & nanotechnologyspin relaxationspin-orbit couplingFormalism (philosophy of mathematics)Ferromagnetismspin (kvanttimekaniikka)Condensed Matter::Strongly Correlated Electrons0210 nano-technologydescription
Static spin susceptibility of superconductors with spin-orbit relaxation has been calculated in the seminal work of A.A. Abrikosov and L.P. Gor'kov [Sov. Phys. JETP, {\bf 15}, 752 (1962)]. Surprisingly the generalization of this result to finite frequencies has not been done despite being quite important for the modern topic of superconducting spintronics. The present paper fills this gap by deriving the analytical expression for spin susceptibility. The time-dependent spin response is shown to be captured by the quasiclassical Eilenberger equation with collision integrals corresponding to the ordinary and spin-orbit scattering. Using the developed formalism we study the linear spin pumping effect between the ferromagnet and the adjacent superconducting film. The consequences for understanding recent experiments demonstrating the modification of Gilbert damping by the superconducting correlations are discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-07-08 |