Effective demagnetizing factors in ferromagnetic resonance equations

Oscillatory interlayer coupling in spin Hall systems

“…1a , it follows the expected thin-film behavior (Supplementary Fig. 3 ) 42 described by the Kittel equation: where the gyromagnetic ratio is | γ | = 2 π · 2.911 GHz/kOe and H eff is the effective perpendicular anisotropy field, arising from the magnetic shape anisotropy and contributions of the perpendicular magnetic anisotropy (PMA). H r is the resonance field.…”

Micromagnetic simulation dynamics of susceptibility spectrum in diamond-shaped ferromagnetics

“…N x , N y , and N z are the demagnetizing factors [20]. The calculation shows the frequency peak similar behavior from micromagnetic simulation.…”

Determination of the spin Hall angle in single-crystalline Pt films from spin pumping experiments

“…The measured data sets of fit parameters in dependence of Θ H were readjusted to Θ M . Therefore, the cubic anisotropy constant K 1 (arising from the bcc Fe lattice) and uniaxial anisotropy constant K u (arising from shape anisotropy of the Fe/Pt stripe) are extracted from the change in resonance field H r (shown in figure 5) according to: with the demagnetization factor for a thin magnetic film N x =0, N y =1 and N z =0, using effective demagnetization factors N x e and N y e to take the cubic and uniaxial anisotropy into account for the resonance condition (described in equation (6)) [27,28], and with γ=28 GHz In figure 6 the symmetric and antisymmetric voltage amplitudes in dependence of the magnetization angle with fit functions according to equation (4) are shown. The antisymmetric voltage (green dots) has almost no deviation from the expected Q ( ) sin 2 M -shape for out-of-plane excited AMR indicating low AHE (due to longitudinal contacts) and low in-plane excitation fields.…”

“…In order to calculate the magnetization precession dynamics from the microwave magnetic fields, the Polder susceptibility tensor needs to be taken into account [18,28]:…”