Angular dependence of domain wall resistivity in ${\mathrm{SrRuO}}_3$ films

${\mathrm{SrRuO}}_3$ is a $4d$ itinerant ferromagnet ${(T}_c\sim 150\mathrm{K})$ with stripe domain structure. Using high-quality thin films of ${\mathrm{SrRuO}}_3$ we study the resistivity induced by its very narrow (∼3 nm) Bloch domain walls ${\rho }_{\mathrm{DW}}$ (DWR), at temperatures between 2 K and $T_c$ as a function of the angle $\theta$ between the electric current and the ferromagnetic domains walls. We find that ${\rho }_{\mathrm{DW}}(T,\theta )={\sin }^2\theta {\rho }_{\mathrm{DW}}\mathrm{}(T,90\mathrm{})+B\left(\theta \right){\rho }_{\mathrm{DW}}\mathrm{}(T,0\mathrm{}),$ which provides the first experimental indication that the angular dependence of spin accumulation contribution to DWR is ${\sin }^2\theta .$ We expect magnetic multilayers to exhibit a similar behavior.