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PreprintCC BY 4.0HAL

Model of the magnon Kerr effect in a highly anisotropic ferromagnet

  • Davit Petrosyan
  • Hiroki Matsumoto
  • Hanchen Wang
  • Richard Schlitz
  • Pietro Gambardella
  • William Legrand
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Abstract

The magnon Kerr effect is a nonlinear phenomenon that occurs universally in any ferromagnet with finite magnetic anisotropy. It manifests itself as a magnon population-dependent change in the magnon dispersion relation. Here, we derive the Hamiltonian for the magnon Kerr effect for a thin film with uniaxial anisotropy. We consider the external field, parallel, perpendicular, and at an intermediate angle to the anisotropy axis, and determine the Kerr coefficient in each case. We show how the nonlinearity scales for different magnetic materials as a function of magnon frequency and magnetic sample volume. Moreover, we derive the equations of motion for a hybrid cavity-magnon system with such thin-film magnon Kerr nonlinearity, to obtain populations of photons and magnons, and scattering matrix terms for the microwave transmission of the cavity, relevant for experimental observations.

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Cite

BibTeXRIS
BibTeX
@misc{petrosyan2026model,
  title = {{Model of the magnon Kerr effect in a highly anisotropic ferromagnet}},
  author = {Davit Petrosyan and Hiroki Matsumoto and Hanchen Wang and Richard Schlitz and Pietro Gambardella and William Legrand},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.24959},
  eprint = {2609.24959},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05761764v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Model of the magnon Kerr effect in a highly anisotropic ferromagnet
AU  - Davit Petrosyan
AU  - Hiroki Matsumoto
AU  - Hanchen Wang
AU  - Richard Schlitz
AU  - Pietro Gambardella
AU  - William Legrand
PY  - 2026
DA  - 2026/09/23
PB  - HAL
DO  - 10.48550/arxiv.2609.24959
UR  - https://hal.science/hal-05761764v1
AB  - The magnon Kerr effect is a nonlinear phenomenon that occurs universally in any ferromagnet with finite magnetic anisotropy. It manifests itself as a magnon population-dependent change in the magnon dispersion relation. Here, we derive the Hamiltonian for the magnon Kerr effect for a thin film with uniaxial anisotropy. We consider the external field, parallel, perpendicular, and at an intermediate angle to the anisotropy axis, and determine the Kerr coefficient in each case. We show how the nonlinearity scales for different magnetic materials as a function of magnon frequency and magnetic sample volume. Moreover, we derive the equations of motion for a hybrid cavity-magnon system with such thin-film magnon Kerr nonlinearity, to obtain populations of photons and magnons, and scattering matrix terms for the microwave transmission of the cavity, relevant for experimental observations.
ER  -