Calculated magnetoresistivity of copper

Abstract

The low-field magnetoresistivity tensor of single-crystal copper is calculated. Korringa-Kohn-Rostoker energy bands, experimental phonons, and the rigid-muffin-tin model for electron-phonon scattering have been used to construct a Boltzmann equation. The effect of impurities is approximated by a phenomenological isotropic impurity scattering rate. The Boltzmann equation is solved by expanding the distribution function in terms of Fermi-surface harmonics and energy polynomials. Agreement with experiment is good. A significant deviation from Kohler's rule is predicted to occur in pure samples due to the energy dependence and anisotropy of the distribution function. We also show how to perform the necessary polycrystalline averages.