Finite-frequency spin susceptibility and spin pumping in superconductors with spin-orbit relaxation
Silaev, M. (2020). Finite-frequency spin susceptibility and spin pumping in superconductors with spin-orbit relaxation. Physical Review B, 102(14), Article 144521. https://doi.org/10.1103/PhysRevB.102.144521
Published inPhysical Review B
© 2020 American Physical Society
Static spin susceptibility of superconductors with spin-orbit relaxation was calculated in the seminal work of Abrikosov and Gor'kov [Sov. Phys. JETP 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.
PublisherAmerican Physical Society (APS)
Publication in research information system
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Related funder(s)Academy of Finland
Funding program(s)Research post as Academy Research Fellow, AoF
Additional information about fundingThis work was supported by the Academy of Finland (Project No. 297439) and the Russian Science Foundation, Grant No. 20-12-00053.
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