Superconducting decay length in a ferromagnetic metal
D. Yu. Gusakova, A. A. Golubov, M. Yu. Kupriyanov
Abstract
The complex decay length xi characterizing penetration of superconducting correlations into a ferromagnet due to the proximity effect is studied theoretically in the frame of the linearized Eilenberger equations. The real part xi1 and imaginary part xi2 of the decay length are calculated as functions of exchange energy and the rates of ordinary, spin flip and spin orbit electronic scattering in a ferromagnet. The lengths xi1,2 determine the spatial scales of, respectively, decay and oscillation of a critical current in SFS Josephson junctions in the limit of large distance between superconducting electrodes. The developed theory provides the criteria of applicability of the expressions for xi1 and xi2 in the dirty and the clean limits which are commonly used in the analysis of SF hybrid structures.
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