Scaling and field-induced crossover of the anomalous Hall effect in SrRuO3

We measure the anomalous Hall effect (AHE) resistivity $\rho_{xy}$ in thin films of the itinerant ferromagnet SrRuO$_{3}$. At low temperatures, the AHE coefficient $R_{s}$ varies with $\rho_{xx}^2$ in agreement with side jumps and Berry phase models. At higher temperatures, $R_{s}$ reaches a peak and then changes sign just below $T_{c}$. We find that for all films studied $R_{s}$ scales with resistivity in the entire ferromagnetic phase. SrRuO$_{3}$ films with very low residual resistivity exhibit field induced sign changes of the AHE at low temperatures, suggesting an $\omega_c \tau$ related crossover.