Testing the Berry phase model for extraordinary Hall effect in SrRuO$_{3}$*

Recently it has been suggested that the complicated temperature dependence of the extraordinary Hall effect (EHE) in the itinerant ferromagnet SrRuO$_{3}$ could be attributed to the existence of Berry phase monopoles in the crystal momentum space [Z. Fang \textit{et al.}, Science \textbf{302}, 92 (2003)]. We test this model by measurements of EHE as a function of an applied magnetic field at a constant temperature. This provides a supplementary degree of freedom for exploring the nature of the EHE, in addition to the typical temperature-dependent measurements. We show that when temperature-dependent and field-dependent measurements are combined, the results for SrRuO$_{3}$ disagree with the Berry phase model. [Y. Kats \textit{et al.}, Phys. Rev. B \textbf{70}, 180407(R) (2004)]