{
  "abstract": "How much can a magnetic field change before a quantum spin texture loses its skyrmion charge? For a triangulated spin-$s$ texture on $N$ quantum sites, we determine the smallest change in its local moments that makes the reconstructed topological charge ill-defined, allowing unequal error bounds and fixed boundary moments. Combined with spectral perturbation theory, this geometric threshold yields explicit magnetic-field intervals that preserve the ground-state charge, scaling as $1/N$ when the gap and geometric margin have positive limits. We apply the bounds to finite spin-$1/2$ systems with exchange and Dzyaloshinskii-Moriya interactions. In a rigorously verified seven-spin example the charge changes at a single certified field, while the excitation gap and all local spin polarizations remain bounded away from zero; there the geometric margin vanishes linearly.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.14172",
  "author_total": 2,
  "authors": [
    {
      "name": "Raúl Sánchez Galán"
    },
    {
      "name": "Robert Wieser"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4erqht9dcb3q4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14172",
  "fulltext_url": null,
  "id": "4erqht9dcb3q4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14172",
  "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.str-el"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "3104|Advanced Condensed Matter Physics"
    ]
  ],
  "openalex": "W7213293809",
  "pdf_url": "https://arxiv.org/pdf/2609.14172",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4erqht9dcb3q4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2609.14172",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14172"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Exact admissibility radii for the lattice topological charge of quantum spin textures",
  "title_text": "Exact admissibility radii for the lattice topological charge of quantum spin textures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/4erqht9dcb3q4",
  "venue": "arXiv",
  "versions": []
}