Type: Article
Publication Date: 2004-06-29
Citations: 134
DOI: https://doi.org/10.1103/physrevlett.93.016602
The anomalous Hall effect (AHE) of ferromagnetic thin films of ${\mathrm{S}\mathrm{r}}_{1\ensuremath{-}x}{\mathrm{C}\mathrm{a}}_{x}{\mathrm{R}\mathrm{u}\mathrm{O}}_{3}$ ($0\ensuremath{\le}x\ensuremath{\le}0.4$) 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 $x\ensuremath{\sim}$ 0.7. For all compositions, the transverse resistivity ${\ensuremath{\rho}}_{H}$ varies nonmonotonously with $T$, and even changes sign, thus violating the conventional expression ${\ensuremath{\rho}}_{H}={R}_{o}B+4\ensuremath{\pi}{R}_{s}M(T)$ ($B$ is the magnetic induction, while ${R}_{o}$ and ${R}_{s}$ are the ordinary and anomalous Hall coefficients). From the rather complicated data of ${\ensuremath{\rho}}_{H}$, we find a scaling behavior of the transverse conductivity ${\ensuremath{\sigma}}_{xy}$ with $M(T)$, which is well reproduced by the first-principles band calculation assuming the intrinsic origin of the AHE.