Non-Abelian Gauge Theory for Magnons in Topologically Textured Frustrated Magnets.

Authors

Ricardo Zarzuela, Se Kwon Kim

Published in

Physical review letters. Volume 134. Issue 18. Pages 186701. May 09, 2025.

Abstract

We develop an effective gauge theory for three-flavored magnons in frustrated magnets hosting topological textures with the aid of the quaternion representation of the SO(3) order parameter. We find that the effect of topological solitons on magnons is captured generally by the non-Abelian emergent electromagnetic fields, distinct from the previously established gauge theory for magnons in collinear magnets where the gauge theory is often restricted to be Abelian. As concrete examples, 4π vortices in two- and three-dimensional magnets and Shankar skyrmions in three-dimensional magnets are discussed in detail, which are shown to induce, respectively, the Abelian and the non-Abelian topological magnetic field on magnons, and thereby engender the topological Hall transport in textured frustrated magnets. We also discuss the effect of magnon-magnon interactions on our effective theory. Our work is applicable to a broad class of magnetic materials whose low-energy manifold is described by the SO(3) order parameter. We envision that the discovery of the non-Abelian magnonic gauge theory will enrich the field of magnonics as well as prompt the study of magnon transport in textured frustrated magnets.

PMID:
40408659
Bibliographic data and abstract were imported from PubMed on 24 May 2025.

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