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

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, $ρ_{\mathrm{xyo}}$ can be fitted by $ρ_{\mathrm{xyo}}=a_{\mathrm{o}}ρ_{\mathrm{xx}}+ b_{\mathrm{o}}ρ_{\mathrm{xx}}^{\mathrm{2}}$. $a_{\mathrm{o}}$ 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 $S$.

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