Fig. 2: Extraction of the damping-like effective field in HM/FM multilayers.
From: Harnessing synergy of spin and orbital currents in heavy metal/ferromagnet multilayers
a Schematic illustration of electric transport measurement of Hall bar device and multilayer structure. b First and second harmonic Hall resistance \({R}_{{xy}}^{{\mathrm{1,2}}\omega }\) with respect to in-plane field \({\mu }_{0}{H}_{x}\) of Pt(5)/Co(1)/Pt(1) and their fitting curves, the three \({R}_{{xy}}^{2\omega }\) curves are the results under different current density \({J}_{{{\rm{HM}}}}\). c Damping-like effective field \({\mu }_{0}{H}_{{{\rm{DL}}}}\) of Pt(5)/Co(1)/Pt(1) (red) and Pt(5)/Co(1) (brown) with respect to \({J}_{{{\rm{HM}}}}\). The three points with different \({J}_{{{\rm{HM}}}}\) of Pt(5)/Co(1)/Pt(1) correspond to the three \({R}_{{xy}}^{2\omega }\) curves in b. d Different relation between equivalent Co thickness \({t}_{{{\rm{Co}}}}^{* }\) and \({\mu }_{0}{H}_{{{\rm{DL}}}}\) when \({J}_{{{\rm{HM}}}}\) is 1 MA cm-2. The \({\mu }_{0}{H}_{{{\rm{DL}}}}\) of Pt(5)/Co(t) (brown) is linear to \(1/{t}_{{{\rm{Co}}}}^{* }\). But for Pt(5)/Co(t)/CoPt(2) (blue) and Pt(5)/Co(t)/Pt(1) (red), the \({\mu }_{0}{H}_{{{\rm{DL}}}}\) deviates from this linear relation. Error bars in c and d represent the standard deviation uncertainties and are smaller than the markers.
