Figure 3. Angular dependence of ISHE signal and spin precession.

(a) A schematic illustration of the Ni₈₁Fe₁₉/p-Si film when the external magnetic field H is applied oblique to the film plane. M denotes the static component of the magnetization. θ and φ show the magnetic field angle and magnetization angle, respectively. (b) Magnetic field angle θ dependence of the FMR field H_FMR measured for the Ni₈₁Fe₁₉/p-Si film. The filled circles represent the experimental data. The solid curve is the numerical solution of the Landau–Lifshitz–Gilbert equation with the saturation magnetization 4πM_s=0.852T. (c) Magnetic field angle θ dependence of the magnetization angle φ for the Ni₈₁Fe₁₉/p-Si film estimated using the Landau–Lifshitz–Gilbert equation with the measured values of H_FMR. (d) Magnetic field angle θ dependence of the FMR signal dI(H)/dH measured for the Ni₈₁Fe₁₉/p-Si film at 200 mW. (e) Magnetic field angle θ dependence of the symmetric component of the electromotive force V_s (H) extracted by a fitting procedure from the measured V spectra for the Ni₈₁Fe₁₉/p-Si film at 200 mW. (f) Magnetic field angle θ dependence of ΔV_s. The solid circles are the experimental data. The solid curve is the theoretical curve obtained from equation (5) with τ_sf=9 ps. The dashed curve is the theoretical curve for τ_sf=0. The error bars represent the 90% confidence interval. The inset shows the θ dependence of ΔV_s calculated from equation (5) with τ_sf=20 ps (the red curve), τ_sf=10 ps (the blue curve), and (the black curve).