A1 Journal article (refereed)
Finite-frequency spin susceptibility and spin pumping in superconductors with spin-orbit relaxation (2020)

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

JYU authors or editors

Publication details

All authors or editors: Silaev, Mikhail

Journal or series: Physical Review B

ISSN: 2469-9950

eISSN: 2469-9969

Publication year: 2020

Volume: 102

Issue number: 14

Article number: 144521

Publisher: American Physical Society (APS)

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1103/PhysRevB.102.144521

Publication open access: Not open

Publication channel open access: 

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/72339

Publication is parallel published: https://arxiv.org/abs/2007.04372

Abstract

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.

Keywords: superconductors; superconductivity; spin (quantum mechanics)

Free keywords: spin dynamics; spin relaxation; spin-orbit coupling; spintronics

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Related projects

Ministry reporting: Yes

Reporting Year: 2020

JUFO rating: 2