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 TMF, 1991, Volume 86, Number 2, Pages 272–284 (Mi tmf5442)

Theory of superconducting SF and SFS junctions in the clean limit for temperatures $T\ll T_C$

S. V. Kuplevakhskii, I. I. Fal'ko

Abstract: The semiclassical equations of the theory of superconductivity are solved for superconductor-ferromagnetic-metal and superconductor-ferromagneticmetal-superconductor junctions. It is shown that the superconducting correlations cannot penetrate into the ferromagnetic film to distances greater than a certain critical value $z_C$. As for $T\lesssim T_C$, $z_C=\beta_h v_0/h$, $(h/E_F)^{1/2}<\beta_h\leqslant 0{,}79$, where $v_0$ is the Fermi velocity, $h$ is the parameter of the exchange interaction, and $E_F$ is the Fermi energy. The excitation spectrum is obtained in the barrier region (for SFS junction if the thickness $d$ of the ferromagnetic barrier is less than the critical value $d_C\propto z_C$), and the possible existence of singular polarized states of the Andreev quasiparticle is predicted. For weak exchange fields ($h\ll T$ for $T>0$ and $h\ll T_C$ for $T=0$) and broad SFS junctions ($\xi(T)\equiv v_0/2\pi T\ll d<d_C$ for $T>0$, $\xi_0\equiv v_0/2\pi T_C\ll d<d_C$ for $T=0$) a theory of the Josephson effect is constructed. At $T=0$, the current-phase dependence is nontrivial.

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English version:
Theoretical and Mathematical Physics, 1991, 86:2, 188–196

Bibliographic databases:

Citation: S. V. Kuplevakhskii, I. I. Fal'ko, “Theory of superconducting SF and SFS junctions in the clean limit for temperatures $T\ll T_C$”, TMF, 86:2 (1991), 272–284; Theoret. and Math. Phys., 86:2 (1991), 188–196

Citation in format AMSBIB
\Bibitem{KupFal91} \by S.~V.~Kuplevakhskii, I.~I.~Fal'ko \paper Theory of superconducting SF and SFS junctions in the clean limit for temperatures $T\ll T_C$ \jour TMF \yr 1991 \vol 86 \issue 2 \pages 272--284 \mathnet{http://mi.mathnet.ru/tmf5442} \transl \jour Theoret. and Math. Phys. \yr 1991 \vol 86 \issue 2 \pages 188--196 \crossref{https://doi.org/10.1007/BF01016171} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1991GH61300011}