  In this letter, an asymmetric spin wave scattering behaviors caused by vortex
chirality are investigated in cross-shaped ferromagnetic system. In the system,
four scattering behaviors are found, 1) asymmetric skew scattering, depending
on the polarity of vortex core, 2) back scattering (reflection), depending on
the vortex core stiffness, 3) side deflection scattering, depending on
structural symmetry of the vortex circulation, and 4) geometrical scattering,
depending on waveguide structure. The first and second scattering behaviors are
attributed to nonlinear topological magnon spin Hall effect related to magnon
spin-transfer torque effect, which has value for magnonic exploration and
application.
