https://doi.org/10.1140/epjb/s10051-026-01172-9
Research - Condensed Matter
Nonreciprocal excitations in magnon–phonon hybrid systems: application to collinear antiferromagnets under zigzag and honeycomb structures
Graduate School of Science, Hokkaido University, 060-0810, Sapporo, Japan
a
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Received:
15
February
2026
Accepted:
14
April
2026
Published online:
7
May
2026
Abstract
Coupling between magnons and phonons provides a promising pathway toward the realization of phononic diodes and other nonreciprocal phononic functionalities. In this work, we theoretically explore how magnon–phonon hybridization influences elementary excitations in collinear antiferromagnets hosting magnetic toroidal moments. By formulating the full magnon–phonon Hamiltonian and performing numerical diagonalization within the framework of linear spin-wave theory for zigzag and honeycomb structures, we show that the presence of Dzyaloshinskii–Moriya interactions or bond-dependent exchange anisotropy induces nonreciprocity not only in magnon branches but also in phonon modes through their hybridization. Furthermore, we find that the magnitude of phonon nonreciprocity is strongly controlled by the strength of the magnon–phonon coupling. Our results provide a microscopic mechanism for engineering nonreciprocal phononic excitations in magnetic materials characterized by magnetic toroidal moments.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

