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## Competitive 0 and π states in S/F multilayers: multimode approach

arxiv.org. cond-mat. Cornell University, 2019. No. 1905.09193.
Karabassov T., Stolyarov V. S., Golubov A. A., Silkin V. M., Bayazitov V. M., Lvov B. G., Vasenko A.
We have investigated the critical temperature behavior in periodic superconductor/ ferromagnet (S/F) multilayers as a function of the ferromagnetic layer thickness $d_f$ and the interface transparency. The critical temperature $T_c(d_f)$ exhibits a damped oscillatory behavior in these systems due to an exchange field in the ferromagnetic material. In this work we have performed $T_c$ calculations using the self-consistent \textit{multimode approach}, which is considered to be exact solving method. Using this approach we have derived the conditions of 0 or $\pi$ state realization in periodic S/F multilayers. Moreover, we have presented the comparison between the single-mode and multimode approaches and established the limits of applicability of the single-mode approximation, frequently used by experimentalists.