Fig. 1. Schematic diagrams of effective spin-orbit fields (a) in the longitudinal configuration (I ∥ H) and (b) in the transverse configuration (I ⊥ H) of PHE measurements.

Fig. 2. (a) The schematic of NiFe/Pt bilayer at the transverse configuration of the PHE measurement. The additional field of h_x presents the effective field of the field-like SOT. (b) The field dependences of the resistance R_xy with various h_x. The parameters in the simulation are given in text.

Fig. 3. The resistance and the effective field measured at the transverse PHE configuration (I ⊥ H) for NiFe(2.2)/Pt(3) bilayer. (a) The representative R_xy–H curves under various currents. In the inset, the solid lines are the fitting curves by using the Stoner–Wohlfarth model. (b) The current dependences of h_x and the Oersted field h_Oe = I/2w, where w is the width of the Hall bar. The field h_y was added here for comparison, which has been obtained at the longitudinal configuration.^[25] (c) The current-dependent hFLi and hFLb. Here hFLi=hx−hOe and hFLb=hy−hx are the interfacial and bulk contributions to the effective fields of current-induced field-like SOT, respectively.

Fig. 4. Current dependences of (a) hFLi and (b) hFLb for the samples with various Pt thicknesses. The linear dependence of (c) hFLi and (d) hFLb on the current density j. All the solid lines are guides for the eyes.