Figure 7: Enhanced magnetostatic domain wall energy.
From: Correlation between spin structure oscillations and domain wall velocities

(a) Domain wall velocity vdw (red circles) and the phase difference θ (blue circles) are plotted as functions of time, as obtained from micromagnetic simulations. The field rotation frequency is 10 MHz and the field amplitude is B=5 mT. The field amplitude of the rotating magnetic field is indicated by the saturation of the background color. (b) The normalized magnetostatic energy density (green circles) and the relative vortex core displacement (magenta line) plotted as functions of time. The magnetostatic energy is normalized to the energy of the remanent magnetization configuration, and the relative vortex core displacement corresponds to the distance from centre to the outer ring edge normalized to the ring width. (c) The maximum Emax (black diamonds) and the amplitude Eamp (blue diamonds) of the normalized magnetostatic energy density are plotted as functions of the field rotation frequency. The dotted lines show the linear interpolation of Emax and Eamp, respectively. The experimentally measured average Zeeman depinning energy Epin=122±19 J m−3 is indicated by the horizontal red bar.