Nonlinear dynamics of vortexlike domain walls in magnetic films with in-plane anisotropy

Dynamic transformations of the internal structure of a moving domain wall in magnetic nanostripes

“…Meanwhile, recent studies have also demonstrated the complexities of the DW dynamic behaviors, 11,[14][15][16]20,[27][28][29] such as the occurrence of negative differential above H W , large contrasts in mobility in low and high magnetic fields, and different H W values depending on the thickness, width, magnetic anisotropy, damping, and edge roughness of nanostripes. 11,13,15,29 However, our simulation results, more interestingly, reveal not only that the shape of the oscillatory D vs t curves depends on H and w, but also that there exist only three different periodicities ͑within our simulations with all the given values of w and H shown in Fig. 2͒ consisting of the different characteristic shapes of parts of the D vs t curves, including the linear, convex-up, and convex-down curves.…”

Nonlinear dynamics of vortex-like asymmetric domain walls in magnetic triaxial films

“…The field H 0 ð, H c Þ is the field of transition from one type of a stationary motion to another. Such behaviour of DWs differs from the stationary motion of walls in magnetic uniaxial films (see, for example, [4,5,9]), however it is related not to the character of an anisotropy, but to the difference in values of the saturation induction. Note that in magnetic uniaxial films two types of stationary motion of a wall are also realized [5,9].…”

“…Both walls possess the same energy, and moreover, the energies of the walls with opposite chiralities coincide (fourfold degeneracy). As in the of magnetic uniaxial films [4,5,6], the study of nonlinear dynamics of such DWs can be carried out by a direct numerical solution of Landau-Lifshitz equation, written as…”

“…For the numerical solution of Eq. (1) the predictor -corrector method [8] and the same spatial grid, as was used upon the minimization of the functional E D (for details, see [5]), are employed. The films of iron type with the following parameters: A ¼ 2 £ 10 26 erg=cm (the exchange parameter), K ¼ 4:2 £ 10 5 erg=cm 3 (the first constant of cubic anisotropy), M s ¼ 1700 G (the saturation magnetization), b ¼ 50 nm and a ¼ 0:1 are studied.…”

Transition micromagnetic structures in asymmetric vortexlike domain walls (Static solutions and dynamic reconstructions)

“…Apart from vortex domain walls (where vortex axes are parallel to the film plane) [16][17][18], researchers considered single vortices (antivorti ces) with their axes normal to the film surface and sys tems of interacting vortices (antivortices) of this type. It was found that the high rate "switching" of vortex polarity is a complex transient process, which is accompanied by the generation and annihilation of vortex-antivortex pairs [19][20][21][22] and the emission of nonlinear waves [23][24][25].…”