Fig. 1
Spin-Hall magnetoresistance (SMR) for Pt Hall bars deposited along the y-axis (direction of the injected current) of the R-cut single crystal of hematite. a Schematic of the devices b The longitudinal SMR response as a function of the magnetic fields applied along x (red), y (black) and z (green) axes. c, d Angular dependence of the longitudinal (c) and transverse (d) SMR for different field values 6 (magenta), 8 (blue) and 11 teslas (black). The magnetic field rotates within the xy plane, α is the in-plane angle between Jy and H. Theoretical curves (solid lines) are calculated based on the model (1–3) with \({{H}}_{{{{\rm{an}}}}}^{{{{\rm{eff}}}}} =\) 23.8 mT, \({{H}}_ \bot =\) 1.54 μT, \({{H}}_{{{{\rm{DMI}}}}} =\) 2.72 T, and \({{H}}_{{\rm{ex}}} =\) 1040 T34. The sample temperature is 200 K. Error bars (not visible, smaller than the symbol size) account for the standard error
