Electronic conductivity in ${\mathrm{Ni}}_x{\mathrm{Cr}}_{1-x}$ and ${\mathrm{Ni}}_x{\mathrm{Cu}}_{1-x}$ fcc alloy systems

First-principles calculations of transport properties of disordered alloys based on the Kubo-Greenwood formalism and the spin-polarized Korringa-Kohn-Rostoker coherent potential approximation are presented. Application to the fcc alloy systems ${\mathrm{Ni}}_x{\mathrm{Cr}}_{1-x}$ and ${\mathrm{Ni}}_x{\mathrm{Cu}}_{1-x}$ yields results for the residual resistivity, anomalous magnetoresistance, and the magnetic moments that are in very satisfying agreement with experiment. In particular, the different sign for the resistance anisotropy in ${\mathrm{Ni}}_x{\mathrm{Cr}}_{1-x}$ and ${\mathrm{Ni}}_x{\mathrm{Cu}}_{1-x}$ and the concentration of the onset of magnetism could be reproduced. Scalar-relativistic calculations were performed on the basis of the two-current model in order to assess the importance of relativistic effects in these systems.