{
  "abstract": "We introduce the notion of an Ising emulator for two-dimensional Ising models: a broad class of flat, unit-edge-length lattices can be represented as site- or bond-diluted supercells of a single host lattice, for which the Feynman--Vdovichenko/Kac--Ward solution is fixed once and for all. We construct explicit square and triangular emulators and show that a single transition matrix, supplemented by lattice-specific binary masks, gives all the thermodynamic quantities of interest for both ferro- and antiferromagnetic couplings. We apply the framework to all eleven Archimedean lattices, to all twenty 2-uniform lattices -- whose thermodynamics is obtained here for the first time -- and to several pentagonal lattices, and show that the same construction extends directly to fractal and disordered Ising models, with no modification to the underlying machinery.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.05308",
  "author_total": 2,
  "authors": [
    {
      "name": "Riccardo Ben Alì Zinati"
    },
    {
      "name": "Alessandro Codello"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/302t5xx58ph7d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.05308",
  "fulltext_url": null,
  "id": "302t5xx58ph7d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.05308",
  "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"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7167637157",
  "pdf_url": "https://arxiv.org/pdf/2607.05308",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/302t5xx58ph7d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2607.05308",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.05308"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "A universal emulator for planar Ising lattices",
  "title_text": "A universal emulator for planar Ising lattices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:04Z",
  "url": "https://research.draconitic.com/paper/302t5xx58ph7d",
  "venue": "arXiv",
  "versions": []
}