A. Brataas et Gew. Bauer, SEMICLASSICAL THEORY OF PERPENDICULAR TRANSPORT AND GIANT MAGNETORESISTANCE IN DISORDERED METALLIC MULTILAYERS, Physical review. B, Condensed matter, 49(20), 1994, pp. 14684-14699
The effect of disordered interfaces and bulk impurities on perpendicul
ar transport in metallic multilayers is considered in an effective-mas
s semiclassical approximation. The transmission matrix is obtained by
diagrammatic perturbation theory in terms of the effective-mass and co
nduction-band profiles at the interface. In the weak-scattering limit
specular and diffuse scattering give equally important contributions t
o the conductance. Predictions for the transport properties of interfa
ces with low concentrations of strongly scattering defects should be a
ccessible to verification by experiments. The transition from fully ba
llistic (Sharvin) to diffuse transport (Drude) is described analytical
ly both in two- and three-dimensional systems, where the former case i
s of relevance for transport in the two-dimensional electron gas in se
miconductor heterostructures. The theory is applied to the spin-valve
effect in magnetic multilayers. The magnetoconductance is described by
a simple formula in terms of the mean free path for the majority- and
minority-spin electrons.