Fig. 3: Universal scaling law for chiral magnets.

The various chiral AFM was plotted by \(\frac{{\rho }_{{AH}}}{{\rho }_{{xx}}}={a}_{{sk}}+{b}_{{in}}{\rho }_{{xx}}\). The slope and intercept represent the intrinsic and skew scattering anomalous Hall scaling factors, respectively. The data includes Mn₃Ge¹¹, Mn₃Sn¹¹, Mn₃Ir¹⁰, MnGe⁹, and Mn₃Pt. For Mn₃Pt (12 ~ 30 nm) /MgO substrate, the inset is the measured anomalous Hall resistance \({\rho }_{{AH}}\) as a function of resistivity ρ_xx. Solid lines refer to the scaling law fitting of \({\rho }_{{AH}}={a}_{{sk}}{\rho }_{{xx}}+{b}_{{in}}{\rho }_{{xx}}^{2}\).