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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

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

This article is cited in 5 papers

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.

Received: 25.06.1990


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

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