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PreprintCC BY 4.0arXiv

Theory of phonon-magnon hybridization and angular momentum in CrI3 and CrBr3

Abstract

In magnetic materials angular momentum can be mediated by different carriers, including electrons, magnons, and phonons. The magnons can interact with circularly polarized phonons which are close in energy, provided specific symmetry conditions are met. If the interaction is strong enough the phonons and magnons shift in frequency and start to mix to form hybrid magneto-elastic quasi-particles. In this paper, we develop a constrained Hamiltonian framework which incorporates hybrid stiffness matrices and Berry curvatures. We quantify the degree of hybridization between phonons and magnons (up to 8% in CrI3 and 25% in CrBr3) using a decomposition of the total energy, which is a generalization of the norm decomposition for atomic contributions to phonons used in the literature. We also explore how the total angular momentum is conserved but shared between the phononic and magnonic subsystems upon hybridization.

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BibTeX
@misc{mignolet2026theory,
  title = {{Theory of phonon-magnon hybridization and angular momentum in CrI$_3$ and CrBr$_3$}},
  author = {Maxime Mignolet and Miquel Royo and Massimiliano Stengel and Matthieu J. Verstraete},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2607.26986},
  eprint = {2607.26986},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.26986},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Theory of phonon-magnon hybridization and angular momentum in CrI_3 and CrBr_3
AU  - Maxime Mignolet
AU  - Miquel Royo
AU  - Massimiliano Stengel
AU  - Matthieu J. Verstraete
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2607.26986
UR  - https://arxiv.org/abs/2607.26986
AB  - In magnetic materials angular momentum can be mediated by different carriers, including electrons, magnons, and phonons. The magnons can interact with circularly polarized phonons which are close in energy, provided specific symmetry conditions are met. If the interaction is strong enough the phonons and magnons shift in frequency and start to mix to form hybrid magneto-elastic quasi-particles. In this paper, we develop a constrained Hamiltonian framework which incorporates hybrid stiffness matrices and Berry curvatures. We quantify the degree of hybridization between phonons and magnons (up to 8% in CrI_3 and 25% in CrBr_3) using a decomposition of the total energy, which is a generalization of the norm decomposition for atomic contributions to phonons used in the literature. We also explore how the total angular momentum is conserved but shared between the phononic and magnonic subsystems upon hybridization.
ER  -