We present ab initio calculations of the giant magnetoresistance in magneti
c multilayers. The electronic structure of the multilayers is calculated by
spin density functional theory using a screened Korringa-Kohn-Rostoker met
hod. The scattering of nanostructural defects in the multilayers is describ
ed by means of a Green's function method. The scattering potentials are cal
culated self-consistently. The transport properties are treated quasiclassi
cally solving the Boltzmann equation including the electronic structure of
the layered system and the anisotropic scattering. The solution of the Bolt
zmann equation is performed iteratively taking into account both scattering
out and scattering in terms (vertex corrections). Since we consider ferrom
agnetic systems a two current model is applied. Trends of residual resistiv
ities and giant magnetoresistance ratios are discussed for Co/Cu multilayer
s with 3d transition metal defects. (C) 2000 American Institute of Physics.
[S0021-8979(00)72208-0].