{
  "abstract": "A local spin fluctuation in the spin-$\\tfrac12$ Heisenberg antiferromagnet creates an even number of fractional spinon excitations. We resolve its zero-temperature dynamical structure factor through six spinons directly in the thermodynamic limit. Beyond the established two-spinon contribution of $72.89\\%$, the four-spinon response gives approximately $21.90\\%$ of the integrated intensity and six spinons contribute a further $4.3\\%$, bringing the response to about $99\\%$ of both the intensity and first-frequency-moment sum rules. We derive momentum-independent first-moment fractions in the calculated sectors and a general upper-edge law $S_n\\sim A_n(k)(ω_{n,u}-ω)^{(n^2-3)/2}$ for every even $n$ at nonzero momentum. The rapid growth of the edge exponent explains why the expanding multiparticle bandwidth carries very little high-energy weight, while higher sectors remain appreciable within the lower-sector continua.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.42127",
  "author_total": 2,
  "authors": [
    {
      "name": "Ian P. McCulloch"
    },
    {
      "name": "Jesse J. Osborne"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/233bv5ez9mpjt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.42127",
  "fulltext_url": null,
  "id": "233bv5ez9mpjt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.42127",
  "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.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.42127",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/233bv5ez9mpjt.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:15Z",
      "native_id": "2610.42127",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.42127"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Resolving the spinon hierarchy of the Heisenberg antiferromagnet",
  "title_text": "Resolving the spinon hierarchy of the Heisenberg antiferromagnet",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:51Z",
  "url": "https://research.draconitic.com/paper/233bv5ez9mpjt",
  "venue": "arXiv",
  "versions": []
}