Magnetization Dynamics in Two-Dimensional Arrays of Square Microelements

Features in the Resonance Behavior of Magnetization in Arrays of Triangular and Square Nanodots

“…In addition, a significant difference in the rigidity of the system will affect the resonance properties of the arrays. The frequencies of the gyrotropic motion of arrays of square elements were about 400 MHz 400 МГц [15], while for triangular elements one should expect multiply higher frequencies. Features of the collective modes for different shapes of elements will be objects of further investigations.…”

“…The contribution of the terms related to these charges to the magnetostatic energy will ensure the dependence of the total potential energy on the lateral surface shape. In this case, the symmetry of a magnet will be reflected in the functional dependence of the energy on azimuth angle ϕ [15][16][17][18]. Thus, Eqs.…”

“…Substituting the trial solutions of ( 16) into system of equations (15), we obtain the system of algebraic equations of variables X and…”

“…This obviously follows from Eqs. (15) or (20), where the rigidity κ is added with the correction the value and sign of which depend on the values of polarities p nm . At different polarity signs, the attraction between the cores of neighboring elements arises (on the contrary to the repulsion at the same p), which competes with the restoring force determined by the rigidity κ. of the magnetic subsystem.…”

On the Effect of Magnetostatic Interaction on the Collective Motion of Vortex Domain Walls in a Pair of Nanostripes

“…The formalism of the description of magnetic vortex behavior in ac fields as topological inhomogeneities has been fairly well‐developed (see, for example, refs. and references therein). The analytical calculations are based on representing the Landau–Lifshitz equations in collective variables, specifically, the velocity and coordinates of the magnetic vortex core.…”