Within the framework of a quantum-mechanical Heisenberg model, we address the topology of the magnon band structures of ferromagnetic pyrochlores, in particular Lu2V2O7. The bridge from Chern numbers of bulk magnons to essential properties of topological surface magnons is constructed by the bulk-boundary correspondence. The topological properties of the system which originate from the Dzyaloshinskii-Moriya interaction and show up as nonzero Berry curvatures suggest a method to clearly distinguish topological surface magnons from other, trivial magnons. The method is illustrated with regard to experiments.
Alexander Mook, Jürgen Henk, and Ingrid Mertig, "Topological magnon insulators: Chern numbers and surface magnons," Proc. SPIE 9931, Spintronics IX, 993134 (Presented at SPIE Nanoscience + Engineering: August 31, 2016; Published: 26 September 2016); https://doi.org/10.1117/12.2235847.
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