Topological Magnon Insulator

The dispersion relations of magnons in ferromagnetic pyrochlores with Dzyaloshinskii-Moriya interaction are shown to possess all types of topologically protected states:.

           The breakthrough experiment that lead to such state is observation of Magnon hall effect .

Edge states in topological magnon insulators

Weyl magnons in breathing pyrochlore antiferromagnets

Topological magnon insulator in insulating ferromagnet

Magnon nodal-line semimetals and drumhead surface states in anisotropic pyrochlore ferromagnets

Weyl and Nodal Ring Magnons in Three-Dimensional Honeycomb Lattices