Interplay between spin wave and magnetic vortex

The interplay between spin wave (SW) and magnetic vortex is studied. We find three types of magnon scatterings: skew scattering, symmetric side deflection, and back reflection, which associate with, respectively, magnetic topology, energy density distribution, and linear momentum transfer torque within the vortex. The vortex core exhibits two translational modes: the intrinsic circular mode and a coercive elliptical mode, which can be excited by the net and oscillating magnon spin-transfer torque effects of SWs. Lastly, we propose a vortex-based SW valve in which we obtain excellent valving performance and access arbitrary control of the phase shift via inhomogeneity modulation. The phase shift arises from the enlarged wavelength of the SW in inhomogeneous magnetization.