Domain wall skew scattering in ferromagnetic Weyl metals

Abstract

We study transport in the presence of magnetic domain walls (DWs) in a lattice model of ferromagnetic type-I Weyl metals. We compute the diagonal and Hall conductivities in the presence of a DW, using both Kubo and Landauer formalisms, and we uncover the effect of DW scattering. When the Fermi level lies near Weyl points, we find a strong skew scattering at the DW that leads to a significant additional Hall effect. We estimate the average Hall resistivity for multidomain configurations, and we identify the limit where the DW scattering contribution becomes significant. We show that a continuum model obtained by linearizing the lattice dispersion around the Weyl points does not correctly capture this DW physics. Going beyond the linearized theory, and incorporating leading curvature terms, leads to a semiquantitative agreement with our lattice model results. Our results are potentially relevant for the Hall resistivity of spin-orbit coupled ferromagnetic metals, such as ${\mathrm{Co}}_{3}{\mathrm{Sn}}_{2}{\mathrm{S}}_{2}, {\mathrm{Co}}_{2}\mathrm{MnGa}$, and ${\mathrm{SrRuO}}_{3}$, which can have Weyl points near the Fermi energy.