Fig. 4.

AHE of Co₃Sn₂S₂. a, b Hall resistivity ρ_xy(μ₀H) and M(μ₀H) as a function of magnetic field at various temperatures for H||c, respectively. c Plot of log ${\rho }_{xy}^A\left(T\right)$ vs. log ρ_xx(T). The red solid line is the fit using the relation ${\rho }_{xy}^{\mathrm{A}}\propto {\rho }_{xx}{\left(T\right)}^{\alpha }$. d Plot of ${\rho }_{xy}^{\mathrm{A}}\mathrm{∕}\left(M{\rho }_{xx}\right)$ vs. ρ_xx. The green solid line is the linear fit when ρ_xx ≤ 250 μΩ cm. Insets of c and d show the temperature dependence of R₀(T) and R_s(T) at T ≤ T_C, respectively. e Intrinsic AHC ${\sigma }_{xy,\mathrm{in}}^{\mathrm{A}}\left(T\right)$ as a function of M. f AHC ${\sigma }_{xy}^{\mathrm{A}}\left(T\right)$ as a function of temperature. Inset: temperature dependence of scale factor S_H(T). Error bars in c–f are the standard deviations of the fits when determining the ${\rho }_{xy}^{\mathrm{A}}$ (Supplementary Note 1)