{
  "abstract": "Multifractal wavefunctions fluctuate over a hierarchy of spatial scales, remaining spatially extended while exhibiting strongly nonuniform structure. We show that magnons in otherwise crystalline two-dimensional magnets can exhibit such behavior on mesoscopic scales, without disorder or quasiperiodicity. A localized defect can mix discrete groups of nearly degenerate magnon states in a finite sample, generating multiscale interference patterns and multifractal wavefunctions. We demonstrate this mechanism for both a simple spin defect and topological magnetic skyrmions. Large-scale spin-wave calculations for skyrmions in chiral and frustrated magnets reveal clear multifractal diagnostics over the full accessible range of system sizes of above-gap modes. Crucially, skyrmions make these states experimentally observable by hybridizing them with magnetically active internal deformation modes, which gives a subset of the multifractal states a nonzero magnetic dipole moment. These states can therefore be excited by uniform ac fields and remain distinguishable at realistic frequency resolution, providing a direct route to observing mesoscopic magnon multifractality.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32457",
  "author_total": 4,
  "authors": [
    {
      "name": "Adarsh Hullahalli"
    },
    {
      "name": "Yusuf Khand"
    },
    {
      "name": "Christos Panagopoulos"
    },
    {
      "name": "Christina Psaroudaki"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/91kxjdhd7qv5q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32457",
  "fulltext_url": null,
  "id": "91kxjdhd7qv5q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32457",
  "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"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3104|Advanced Condensed Matter Physics"
    ]
  ],
  "openalex": "W7223656733",
  "pdf_url": "https://arxiv.org/pdf/2610.32457",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/91kxjdhd7qv5q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:15Z",
      "native_id": "2610.32457",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32457"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mes-hall",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Multifractal Magnons Around Localized Defects",
  "title_text": "Multifractal Magnons Around Localized Defects",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:15Z",
  "url": "https://research.draconitic.com/paper/91kxjdhd7qv5q",
  "venue": "arXiv",
  "versions": []
}