Fig. 2: The anomalous Hall effect measurement.

a Magnetic field-dependent Hall resistivity (ρ_xy) at various temperatures for two Co₂MnAl samples with different orientations. One sample was measured with I ∥ (001) plane and B ⊥ (001) and the other with I ∥ (111) and B ⊥ (111). Left inset: ρ_xy vs. B at 300 K, with the data for I ∥ (001) being offset for clarity. Bottom right inset, Hall coefficient R_H as a function of the orientation angle of magnetization for the sample with I ∥ (001). The middle right inset shows the experimental setup for the angular-dependent Hall effect measurements. b Temperature dependence of anomalous Hall conductivity (AHC) (\({\sigma }_{{yx}}^{A}\)) for the samples shown in a. c The temperature dependence of \(\tan\,{\Theta }^{\mathrm{H}}={\sigma }_{{yx}}^{A}/{\sigma }_{{xx}}\) at 2 T [Θ^H, anomalous Hall angle (AHA)]. d Comparison of AHC and \(\tan\,{\Theta }^{\mathrm{H}}\) between Co₂MnAl and other magnetic conductors; “f” refers to thin film materials. Co₂MnAl exhibits both large AHA and large AHC in a wide temperature range. In addition to the data collected on the samples shown in a, we have also included the data measured on another two additional Co₂MnAl samples with I ∥ (001) and I ∥ (010) in this figure.The AHC and AHA data of other cited magnetic materials and the related references are given in Supplementary Table 1.