Topological Magnons on the Ferromagnetic Zigzag Lattice

Motivated by the experimental identification of magnetic compounds consisting of zigzag chains, we analyze the band structure topology of magnons in ferromagnets on a zigzag lattice. We account for the general lattice geometry by including spatially anisotropic Heisenberg exchange interactions and b...

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Bibliographic Details
Published in:arXiv.org 2024-11
Main Authors: Subramanian, Skandan, Berlijn, Tom, Lucas, Lindsay, Fishman, Randy S, Villanova, John W
Format: Article
Language:English
Subjects:
Band structure of solids
Chain branching
Chemical bonds
Elastic scattering
Ferromagnetism
Magnons
Phase diagrams
Topology
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Summary:Motivated by the experimental identification of magnetic compounds consisting of zigzag chains, we analyze the band structure topology of magnons in ferromagnets on a zigzag lattice. We account for the general lattice geometry by including spatially anisotropic Heisenberg exchange interactions and by Dzyaloshinskii-Moriya interaction on inversion asymmetric bonds. Within the linear spin-wave theory, we find two magnon branches, whose band structure topology (i.e., Chern numbers) we map out in a comprehensive phase diagram. Notably, besides topologically trivial and gapless phases, we identify topologically nontrivial phases that support chiral edge magnons. We show that these edge states are robust against elastic defect scattering.
ISSN:2331-8422