Fig. 1: Field induced anomalous Hall effect.
a, b Different Hall configurations. ρzy, the out-of-plane Hall configuration with the field along x axis. ρxy, the in-plane Hall configuration with the field along z axis. c Comparison of out-of-plane (ρzy) and in-plane (ρxy) Hall responses. ρzy consists of two parts, the anomalous Hall resistivity \({\rho }_{zy}^{A}\) with a spontaneous value of 4.2 μΩcm at 0 T, and the ordinary Hall resistivity \({\rho }_{H}^{O}\) with a value of 0.77 μΩcm when the field is swept from 14 T to 0 T. ρxy, looking like ordinary Hall effect attains 3.9 μΩcm at 14 T, exceeding \({\rho }_{H}^{O}\) by far. d Field dependence of ρxy with temperature varying from 100 to 400 K. e Temperature dependence of ρxy and \({\rho }_{H}^{O}\) at 14 T. f Temperature dependence of field-induced linear anomalous Hall resistivity \({\rho }_{xy}^{FA}\). g Temperature dependence of field-induced linear anomalous Hall conductivity \({\sigma }_{xy}^{FA}\) (see the Supplementary Information for calculation details). It is monotonously increasing with cooling.
