Dirac cones and valley topological states of classical spin waves in artificial magnonic crystals with two-dimensional honeycomb lattice

Abstract A model of artificial magnonic crystals (AMCs) with a two-dimensional honeycomb lattice cylindrical ferromagnetic rods embedded in another material is proposed. Topological properties including Dirac cones, Dirac-like point and valley states classical spin waves the above AMCs are theoretically investigated by numerically solving Landau-Lifshitz equation. It shown that cones at boundary first Brillouin zone can be generated dispersion relation. Furthermore, also obtained center due to accidental degeneracy bands. These discoveries topological not only open new field condensed matter, but provide novel platform for fabricating spin-wave devices.