Topological phase transition in magnon bands in a honeycomb ferromagnet driven by sublattice symmetry breaking

Ferromagnetic honeycomb systems are known to exhibit a magnonic topological phase under the existence of next-nearest neighbor Dzyaloshinskii-Moriya interaction (DMI). Motivated by recent progress in sublattice-specific control magnetic anisotropy, we study magnon bands ferromagnetic monolayer and bilayer with sublattice symmetry breaking due different anisotropy energy presence DMI. We show that there is transition between insulator topologically trivial driven change relative size DMI differences sublattices. The thermal Hall conductivity proposed as an experimental probe topology.