O. Sipr et Bl. Gyorffy, OSCILLATORY MAGNETIC COUPLING BETWEEN METALLIC MULTILAYERS ACROSS SUPERCONDUCTING SPACERS, Journal of physics. Condensed matter, 7(27), 1995, pp. 5239-5269
In order to investigate magnetic coupling between metallic layers acro
ss superconducting spacers, we study a simple inhomogeneous free-elect
ron model with exchange-split bands in the magnetic region and pairing
interaction in the superconducting layers. We solve numerically the c
orresponding Bogoliubov-de Gennes equations for spin-dependent potenti
als for a one-dimensional geometry and find strong evidence that, whil
e the magnetic coupling strength will oscillate as a function of the s
pacer layer thickness L, it is strongly damped. This damping can be de
scribed by purely exponential form exp(-L/D), where the damping length
D is of the order of the coherence length xi(0) of the superconductor
. We discuss, briefly, the physical circumstances where such a cut-off
of the oscillatory magnetic coupling may be observed.