Topological Magnon Band Structure — Honeycomb Lattice

Magnon Hall effect and topological edge states in a magnetic honeycomb (CrI₃-type)

Magnon Band Structure along Γ→K→M→Γ

Honeycomb BZ & Berry curvature

Berry curvature Ω(k)

Edge states (ribbon)

DOS & gap

Exchange J (meV) 2.0 DM interaction D (meV) 0.50 Anisotropy K (meV) 0.20 External field h (T) 0.0

Topological magnons: Spin-wave excitations on the honeycomb lattice (CrI₃, CrBr₃) host Chern number C=±1 bands when Dzyaloshinskii-Moriya interaction (DMI) D≠0 opens a topological gap. The magnon thermal Hall conductivity κ_xy ∝ Σ_n∫Ω_n(k)·n_B(ω) measures Berry curvature Ω_n(k). Topology: — | Chern #: — | Gap: — meV