Superconducting decay length in a ferromagnetic metal
D. Yu. Gusakova, A. A. Golubov+, M. Yu. Kupriyanov
Nuclear Physics Institute, Moscow State University, 119992 Moscow, Russia
+Faculty of Science and Technology, University of Twente, 7500 AE Enschede, The Netherlands
PACS: 74.50.+r, 74.80.Dm, 75.30.Et
Abstract
The complex decay length ξ 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 ξ1 and
imaginary part ξ2 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
ξ1,2 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 ξ 1 and ξ2 in the dirty and the clean
limits which are commonly used in the analysis of SF hybrid
structures.