Kubo and Boltzmann electrical residual resistivity of disordered transitron-metal alloys

The electrical residual resistivity of the Cu-Pt alloy system was calculated in the framework of the fully relativistic KKR-CPA. Both the linearised Boltzmann equation in the relaxation-time approximation and the one-electron Kubo formula (neglecting vertex corrections) were used to derive the electrical residual resistivity (T=0) from the one-electron Green function of the disordered system. Comparison of the results yielded by the two formulae reveals a very good agreement for the Cu-rich alloys where the complex energy bands are well defined and a discrepancy for the Pt-rich alloys which do not show this feature.