Competitive 0 and π states in S/F/S trilayers: Multimode approach

T. Karabassov, V. S. Stolyarov, A. A. Golubov, V. M. Silkin, V. M. Bayazitov, B. G. Lvov, and A. S. Vasenko
Phys. Rev. B 100, 104502 – Published 3 September 2019

Abstract

We investigate the behavior of the critical temperature Tc in superconductor/ferromagnet/superconductor (S/F/S) trilayers in the dirty limit as a function of the ferromagnetic layer thickness df and the S/F interface transparency. We perform Tc calculations using the general self-consistent multimode approach based on the Usadel equations in Matsubara Green's functions technique, and compare the results with the single-mode approximation, widely used in literature. Both methods produce similar results for sufficiently low interface transparency. For transparent interfaces, we obtain a qualitatively different Tc(df) behavior. Using the multimode approach, we observe multiple 0-π transitions in critical temperature, which cannot be resolved by the single-mode approximation. We also calculate the critical S layer thickness at given df when an S/F/S trilayer still has a nonzero critical temperature. Finally, we establish the limits of applicability of the single-mode approximation.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 25 May 2019
  • Revised 25 July 2019

DOI:https://doi.org/10.1103/PhysRevB.100.104502

©2019 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

T. Karabassov1, V. S. Stolyarov2,3, A. A. Golubov2,4, V. M. Silkin5,6,7, V. M. Bayazitov8, B. G. Lvov1, and A. S. Vasenko1,9,*

  • 1National Research University Higher School of Economics, 101000 Moscow, Russia
  • 2Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
  • 3Dukhov Research Institute of Automatics (VNIIA), 127055 Moscow, Russia
  • 4Faculty of Science and Technology and MESA+ Institute for Nanotechnology, University of Twente, 7500 AE Enschede, The Netherlands
  • 5Donostia International Physics Center (DIPC), Paseo Manuel de Lardizabal 4, San Sebastián/Donostia, 20018 Basque Country, Spain
  • 6Departamento de Física de Materiales, Facultad de Ciencias Químicas, UPV/EHU, 20080 San Sebastián, Basque Country, Spain
  • 7IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
  • 8N.S. Kurnakov Institute of General and Inorganic Chemistry, Russian Academy of Sciences, 117901 Moscow, Russia
  • 9I.E. Tamm Department of Theoretical Physics, P.N. Lebedev Physical Institute, Russian Academy of Sciences, 119991 Moscow, Russia

  • *avasenko@hse.ru

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 100, Iss. 10 — 1 September 2019

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×