Domain wall resistivity in diffuse ferromagnets

We derive expressions for the resistivity of diffuse ferromagnets caused by the rotating magnetization direction in a domain wall for general band structures and state-dependent electron lifetimes. The domain wall resistivity is enhanced when the Fermi surfaces of the spin-up and spin-down states (nearly) overlap, but in this limit the non-degenerate perturbation theory breaks down. The results differ for constant density and constant chemical potential and do not agree with those by Levy and Zhang (1997, Phys. Rev. Lett., 78, 3773) in the two-band model.