Strain-induced fast domain wall motion in hybrid piezoelectric-magnetostrictive structures with Rashba and nonlinear dissipative effects

The prime objective of this work is to analyze the motion of magnetic domain walls (DWs) in a thin layer of magnetostrictive material that is perfectly attached to the upper surface of a thick piezoelectric actuator. In our analysis, we consider a transversely isotropic hexagonal subclass of magnetostrictive materials that demonstrate structural inversion asymmetry. To this aim, we utilize the one-dimensional extended Landau-Lifshitz-Gilbert equations, which describe the magnetization dynamics under the influence of various factors such as magnetic fields, spin-polarized electric currents, magnetoelastic effects, magnetocrystalline anisotropy, Rashba fields, and nonlinear dry-friction dissipation. By employing the standard traveling wave ansatz, we derive an analytical expression of the most relevant dynamic features: velocity, mobility, threshold, breakdown, and propagation direction of the DWs in both steady and precessional dynamic regimes. Our analytical investigation provides insights into how effectively the considered parameters can control the DW motion. Finally, numerical illustrations of the obtained analytical results show a qualitative agreement with the recent observations.