Fig. 4: Lateral rotation of the topological centers controlled by out-of-plane exchange strength.
From: Spin-wave-driven tornado-like dynamics of three-dimensional topological magnetic textures

a Trajectories of topological centers at z = − 40 nm for the first 50 ns, with different values of driving field (hrf) and out-of-plane exchange strength (A⊥). A relatively large damping constant α = 0.01 is used to magnify the decay rate of the rotation radius. The inset in panel a illustrates the long-period evolution of the dissipative rotation of a topological center. b Rotation frequency of the topological centers as a function of A⊥. The inset in panel b is the force analysis of the skyrmion S2 with a relative velocity υr with respect to the skyrmion S1 in its neighboring layer. Fd stands for the attractive force from interlayer coupling.