On the statics and dynamics of transverse domain walls in bilayer piezoelectric-magnetostrictive nanostructures

In this article, we investigate the static and dynamic properties of transverse Bloch domain wall in an isotropic, linearly elastic bilayer piezoelectric-magnetostrictive nanostructures under the influence of axial (driving), transverse magnetic fields and spin-polarized electric current. To be precise, we perform the analysis under the framework of the one-dimensional Extended Landau–Lifshitz–Gilbert equation in the presence of stresses generated by a piezoelectric actuator. First, we derive the magnetization profile in the two distant domains and then study the static magnetization profile in the sole presence of the applied transverse magnetic field. Next, we propose a new Walker's type trial function and establish the analytical expressions of the dynamical quantities such as moving DW profile, velocity, displacement, and excitation angle by using a small angle approximation approach. Finally, we delineate the obtained analytical results with the aid of numerical illustrations.