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This article analytically investigates the one-dimensional motion of magnetic domain walls along a thin magnetostrictive nanostrip in a trilayer stack. This study is done under the framework of the extended Landau-Lifshitz-Gilbert equation. We consider the effect of stresses generated by the piezoelectric actuator, spin-orbit interactions caused by structural inversion asymmetry (Rashba and Spin-Hall effects), and dry-friction dissipation responsible for the structural disorder in the ferromagnetic material. First, we derive an explicit analytical expression of the domain wall velocity in the steady-state regime by employing the traveling waves ansatz and realistic assumptions on the considered parameters. It is observed that the strength of magnetostriction, Rashba and Spin-Hall effects, and dry friction affect the depinning threshold and Walker-breakdown, which represent the boundaries of a steady dynamical regime. Next, we numerically illustrate the presented analytical results and find they are in qualitatively good agreement with recent observations reported in the literature.

Domain wall motion in multiferroic nanostructures under the influence of spin-orbit torque and nonlinear dissipative effect