{
  "abstract": "We study the phase diagram and critical properties of the $q = 3$ and $q = 8$ Potts models with spatially correlated disorder governed by a power-law decay with exponent $a$. Building on the phase diagram proposed by Chippari et al. [3], where a transition from finite-disorder to infinite-disorder fixed points was identified as a function of a, we refine this picture by using wrapping probabilities of Fortuin-Kasteleyn clusters. Furthermore, using magnetic observables, we clarify the physical origin of the double-peak structure in the magnetic susceptibility and establish the validity of the hyper-scaling relation across all investigated regimes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29710",
  "author_total": 3,
  "authors": [
    {
      "name": "Rodolfo Rocha"
    },
    {
      "name": "Leticia F. Cugliandolo"
    },
    {
      "name": "Marco Picco"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7kssrf0qb73zk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29710",
  "fulltext_url": null,
  "id": "7kssrf0qb73zk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.29710",
  "language": "en",
  "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"
    ],
    [
      "hal",
      "0.phys"
    ],
    [
      "hal",
      "1.phys.cond"
    ],
    [
      "openalex",
      "3104|Theoretical and Computational Physics"
    ]
  ],
  "openalex": "W7204971851",
  "pdf_url": "https://arxiv.org/pdf/2608.29710",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7kssrf0qb73zk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:41Z",
      "native_id": "2608.29710",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29710"
    },
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "hal-05779723",
      "source": "hal",
      "url": "https://hal.science/hal-05779723v1"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "hal:1.phys.cond",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Phase Diagram and Critical Behaviour of the Two-Dimensional Potts Model with Long-Range Quenched Disorder",
  "title_text": "Phase Diagram and Critical Behaviour of the Two-Dimensional Potts Model with Long-Range Quenched Disorder",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/7kssrf0qb73zk",
  "venue": "arXiv",
  "versions": []
}