Non-monotonic variation of anomalous Hall effect with spin orbit coupling strength

Abstract

For L1(0) FePt films, the anomalous Hall resistivity is found to be proportional to spontaneous magnetization $M_{\mathrm{S}}$. After the $M_{\mathrm{S}}$ temperature effect is eliminated, ${\rho }_{\mathrm{xyo}}$ can be fitted by ${\rho }_{\mathrm{xyo}}=a_{\mathrm{o}}{\rho }_{\mathrm{xx}}+b_{\mathrm{o}}{\rho }_{\mathrm{xx}}^2$. $a_{\mathrm{o}}$ and $b_{\mathrm{o}}$ change non-monotonically with chemical long range ordering degree $S$. Accordingly, it is indicated that for L1(0) FePt films the spin orbit coupling strength increases monotonically with increasing $S$.