Scaling of the anomalous Hall effect in Sr1-xCaxRuO3 -: art. no. 016602

The anomalous Hall effect (AHE) of ferromagnetic thin films of Sr1-xCaxRuO3 (0less than or equal toxless than or equal to0.4) is studied as a function of x and temperature T. As x increases, both the transition temperature T-c and the magnetization M are reduced and vanish near xsimilar to 0.7. For all compositions, the transverse resistivity rho(H) varies nonmonotonously with T, and even changes sign, thus violating the conventional expression rho(H)=RoB+4piR(s)M(T) (B is the magnetic induction, while R-o and R-s are the ordinary and anomalous Hall coefficients). From the rather complicated data of rho(H), we find a scaling behavior of the transverse conductivity sigma(xy) with M(T), which is well reproduced by the first-principles band calculation assuming the intrinsic origin of the AHE.