{
  "abstract": "Local constraints in algebraic classical spin liquids give rise to singular momentum-space correlations. This so called pinch-point singularity carries a momentum-space winding number that determines the low-energy structure of the algebraic spin liquid. We show that nonmagnetic vacancies in two dimensions reveal this topological invariant in the real-space winding of the surrounding spin textures. Under explicit conditions, we prove this bulk-defect correspondence for rank-$n$ $\\mathrm{U}(1)$ spin liquids and verify it numerically for the Coulomb spin liquids of the kagome and checkerboard lattices and the rank-2 $\\mathrm{U}(1)$ spin liquid of the honeycomb-snowflake model. In this way we show that vacancies can be used as general probes for distinguishing the emergent gauge theories of strongly correlated classical disordered magnets.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22585",
  "author_total": 1,
  "authors": [
    {
      "name": "Rafael Flores-Calderón"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/avezqz30v28mx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22585",
  "fulltext_url": null,
  "id": "avezqz30v28mx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22585",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3104|Advanced Condensed Matter Physics"
    ]
  ],
  "openalex": "W7222982545",
  "pdf_url": "https://arxiv.org/pdf/2610.22585",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/avezqz30v28mx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.22585",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22585"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Bulk-Defect Correspondence in Algebraic Classical Spin Liquids",
  "title_text": "Bulk-Defect Correspondence in Algebraic Classical Spin Liquids",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:28Z",
  "url": "https://research.draconitic.com/paper/avezqz30v28mx",
  "venue": "arXiv",
  "versions": []
}