Calculations of giant magnetoresistance (GMR) of Co/Cu (001) multilaye
rs are presented. Starting from density functional theory the electron
ic structure of the multilayer is described by means of a new Green's
function method. Scattering of superlattice wave functions at delta-li
ke scatterers is considered. It will be shown that due to the existenc
e of quantum well and interface states in multilayers GMR is strongly
affected by scattering centers at the interface. Results for a multila
yer with a Cu thickness corresponding to the first antiferromagnetic m
aximum of the interlayer exchange coupling are discussed in detail.