Spin waves in monolayer and bilayer honeycomb ferromagnets are classified topologically, with edge states described by effective Su-Schrieffer-Heeger chains and nonzero Chern numbers induced by Dzyaloshinskii-Moriya interactions.
The straightforward calculation shows in momentum space, Hint (k) = JinS[ a2 k † a2 k + b1 k † b1 k (53) − b1 k † a2 k +H.c.]
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Topological classification and edge states of magnons in honeycomb ferromagnets
Spin waves in monolayer and bilayer honeycomb ferromagnets are classified topologically, with edge states described by effective Su-Schrieffer-Heeger chains and nonzero Chern numbers induced by Dzyaloshinskii-Moriya interactions.