### 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.

Original language | English |
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Article number | 104502 |

Journal | Physical Review B |

Volume | 100 |

Issue number | 10 |

DOIs | |

Publication status | Published - 3 Sep 2019 |

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## Cite this

*Physical Review B*,

*100*(10), [104502]. https://doi.org/10.1103/PhysRevB.100.104502