We investigate the temperature dependence of the intrinsic anomalous Hall conductivity in ${\mathrm{Fe}}_3\mathrm{Ge}$, which is a ferromagnetic topological metal. We observe a significant anisotropy in the anomalous Hall conductivity between in-plane and out-of-plane directions. We further identify that the total Hall conductivity is contributed extrinsically due to the skew-scattering mechanism and intrinsically due to nonzero Berry curvature in the momentum space. Most importantly, we demonstrate the temperature dependence of the intrinsic Hall contribution, a rare phenomenon to visualize experimentally, due to tuning the easy-magnetic axis from the out-of-plane to the in-plane with decreasing temperature. We also show that the extrinsic Hall conductivity decreases with temperature as ${\sigma }_{xy}^{\mathrm{ext}}\left(T\right)=\frac{{\sigma }_{xy0}^{\mathrm{ext}}}{{(aT+1)}^2}$ due to electron-phonon scattering.

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• Anomalous Hall effect
• Magnetism
• Ferromagnets
• Density functional theory
• Transport techniques
• X-ray diffraction