An out-of-plane (OOP) angular harmonic Hall voltage technique, with analytical derivation and experimental validation, for quantitatively determining spin-orbit and orbital torque effective fields (damping-like and field-like) in light-metal-oxide heterostructures with in-plane magnetic anisotropy. The method separates damping-like from field-like components even when the anomalous and planar Hall effects are comparable, suppresses spurious magnon-magnetoresistance terms that mimic the field-like angular signature, and disentangles thermoelectric contributions; applied to Co|Pt|CuOx versus a Co|Pt|AlOx reference it quantifies the roughly two-fold orbital-torque enhancement from naturally oxidized copper.
This experimental condensed-matter study introduces and validates an out-of-plane (OOP) angular harmonic Hall voltage technique for quantitatively determining spin-orbit torques (SOT) and orbital tor…