“…On the other hand, SRE appear due to the synchronous nonlinear coupling between eddy currents (induced by the rf magnetic field coming from the CPW) and the time-varying magnetization of the FM film in the form of magnetoresistance and result in a contribution to the measured voltage signal, with both symmetric and antisymmetric components, that is difficult to suppress., ,,− However, SRE effects are expected to be negligible in our case due to the high resistivity of LSMO film compared to that of metallic FM’s (e.g., Py) where SRE are of the same order of magnitude of ISHE . Thus, the expected ISHE-induced transverse voltage signals should be fully symmetric and their amplitude V ISHE related to the properties of the material by the following expression: , V ISHE = italicwR θ SH λ sd 0.25em tanh ( t SIO 2 λ sd ) j normals where w is the width of the CPW signal line, R is the sheet resistance of the bilayer, t SIO is the thickness of the SIO thin film, θ SH is the spin Hall angle of the SIO, and λ sd is its spin diffusion length. The injected spin current j s can be expressed as , j normals = ( e G eff ↓ ↑ 4 π ) true( μ 0 h rf γ α LSMO / SIO true) 2 μ 0 M normals γ …”