Equations of motion and frequency dependence of magnon-induced domain wall motion

Abstract

Spin waves can induce domain wall motion in ferromagnets. We derive the equations of motion for a transverse domain wall driven by spin waves. Our calculations show that the magnonic spin-transfer torque does not cause rotation-induced Walker breakdown. The amplitude of spin waves that are excited by a localized microwave field depends on the spatial profile of the field and the excitation frequency. By taking this frequency dependence into account, we show that a simple one-dimensional model may reproduce much of the puzzling frequency dependence observed in early numerical studies.

Magnon-driven dynamics of frustrated skyrmion in synthetic antiferromagnets: effect of skyrmion helicity oscillation

“…Here, we intend to study the skyrmion dynamics in an infinite film where the injected magnons hardly be reflected at the boundary. Thus, the absorption boundary is used to exclude the effect of the magnon reflection [34,40,44]. The position of the skyrmion X i is estimated by…”

Magnetic texture based magnonics

“…As discussed in Section 1.5, the Noether theorem suggests that the angular momentum of the domain wall corresponds to a linear motion and the linear momentum of the domain wall corresponds to a rotation of its magnetization tilting [140]. The equation of motion and the frequency dependence of the domain wall motion driven by magnons are described by Risingrd et al [351].…”

Quantifying arbitrary-spin-wave-driven domain wall motion, the creep nature of domain wall and the mechanism for domain wall advances

“…For these reasons, new possibilities are still being explored. Recent progress includes making use of voltage [21], temperature gradient [22][23][24][25][26][27][28], mechanical stress [29,30], laser pulses [31], spin waves (SWs) [32][33][34][35][36][37][38][39][40][41][42], etc.…”

“…In addition, the ability to assist other approaches for improved performance in DWM gives it an extra advantage [50,51].On the other hand, the interplay between SW and DW remains interesting in fundamental physics. Although great effort has been made in understanding the basic characteristics of SW-induced DWM in terms of both theoretical analysis [34,35,[37][38][39]41] and micromagnetic simulations [32-36, 40, 42], the precise picture in dynamics was never determined. So far, two major mechanisms were proposed: magnonic spin-transfer torque (STT) [34] and magnonic linear momentum transfer torque (LMTT) [11,35].…”