Theory of superconducting SF and SFS junctions in the clean limit for temperatures $T\ll T_C$
Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 2, pp. 272-284
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 for $T>0$, $\xi_0\equiv v_0/2\pi T_C\ll d for $T=0$) a theory of the Josephson effect is constructed. At $T=0$, the current-phase dependence is nontrivial.
@article{TMF_1991_86_2_a10,
author = {S. V. Kuplevakhskii and I. I. Fal'ko},
title = {Theory of superconducting {SF} and {SFS} junctions in the clean limit for temperatures $T\ll T_C$},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {272--284},
year = {1991},
volume = {86},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1991_86_2_a10/}
}
TY - JOUR AU - S. V. Kuplevakhskii AU - I. I. Fal'ko TI - Theory of superconducting SF and SFS junctions in the clean limit for temperatures $T\ll T_C$ JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1991 SP - 272 EP - 284 VL - 86 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1991_86_2_a10/ LA - ru ID - TMF_1991_86_2_a10 ER -
%0 Journal Article %A S. V. Kuplevakhskii %A I. I. Fal'ko %T Theory of superconducting SF and SFS junctions in the clean limit for temperatures $T\ll T_C$ %J Teoretičeskaâ i matematičeskaâ fizika %D 1991 %P 272-284 %V 86 %N 2 %U http://geodesic.mathdoc.fr/item/TMF_1991_86_2_a10/ %G ru %F TMF_1991_86_2_a10
S. V. Kuplevakhskii; I. I. Fal'ko. Theory of superconducting SF and SFS junctions in the clean limit for temperatures $T\ll T_C$. Teoretičeskaâ i matematičeskaâ fizika, Tome 86 (1991) no. 2, pp. 272-284. http://geodesic.mathdoc.fr/item/TMF_1991_86_2_a10/
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