{
  "abstract": "Magnonic information processing uses Kerr-type four-magnon anharmonicity to bound parametrically driven excitations. Here we show that this anharmonicity is constrained by material and mode properties. For the uniform mode of a saturated ferrimagnet, the Holstein--Primakoff reduction gives $U=ω_a/(2N_{\\rm eff}Ω)$, where $ω_a$ is the anisotropy-field frequency, $Ω$ the mode frequency, and $N_{\\rm eff}$ the net spin content fixed by saturation magnetization and mode volume. Requiring the drive to exceed Gilbert damping while keeping the saturated occupation below one gives $αN_{\\rm eff}<ω_a/Ω$, reducing to $N_{\\rm eff}<1/α$ at $Ω=ω_a$. We test this criterion for Co-doped yttrium iron garnet using Lindblad calculations with thermal operators. Thermal stability permits low-damping garnet at 50 GHz ($α<9.7\\times10^{-5}$) and 200 GHz ($α<3.9\\times10^{-4}$), but this is not sufficient: the admissible drive window is nearly adiabatic and four orders of magnitude weaker than required. For a $20\\times20\\times10$ nm$^3$ cell, $U=6.6\\times10^{-5}$, three orders below the range showing Fock-state confinement. One mechanism survives: the pair-phase transfer coefficient remains $-1.000$ down to $U=0.01$, with phase deviations of $22.4^\\circ$--$40.7^\\circ$ ordered by thermal occupation. These results give a quantitative materials criterion for nonlinear magnonic devices and identify phase encoding as the mechanism accessible to a garnet film.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Journal of Magnetism and Magnetic Materials, 2026, 174649",
  "arxiv": "2605.19647",
  "author_total": 1,
  "authors": [
    {
      "name": "A. M. Tishin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/35and541x7zt2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.19647",
  "fulltext_url": null,
  "id": "35and541x7zt2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.19647",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mes-hall"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2605.19647",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/35and541x7zt2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2605.19647",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.19647"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Operating regimes and materials limits of nonlinear magnon dynamics in Co-doped YIG",
  "title_text": "Operating regimes and materials limits of nonlinear magnon dynamics in Co-doped YIG",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:50Z",
  "url": "https://research.draconitic.com/paper/35and541x7zt2",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1016/j.jmmm.2026.174649",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}