{
  "abstract": "Using the two-dimensional Ashkin-Teller (AT) model, we compare criticality on three non-periodic lattices: the Smith-hat aperiodic tiling, Voronoi-Delaunay (VD) random triangulations, and uncorrelated diluted square lattices. The decay of the block-averaged coordination fluctuation $σ_Q$ with exponent $α$ is used to describe the connectivity disorder. The first two lattices share the same exponent $α$, which differs from that of the third. We consider the regime where the correlation-length exponent $ν<1$, where randomness is relevant according to the Harris criterion $d ν\\le 2$, but should be irrelevant in cases of the Smith-hat tiling and VD triangulations, where $αν>1$, according to the Harris--Barghathi--Vojta (HBV) criterion. For the diluted lattice, we indeed find that the clean universality behavior breaks down along the entire critical line, indicating a crossover to a fixed line dominated by disorder, in line with both the Harris criterion and the HBV criterion. In contrast, both VD and Smith-hat lattices display critical exponents consistent with the clean AT universality class, as validated by a Coulomb-gas self-consistency check, violating the Harris criterion while conforming to the HBV criterion.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.17166",
  "author_total": 3,
  "authors": [
    {
      "name": "Shuhao Fan"
    },
    {
      "name": "Lu Liu"
    },
    {
      "name": "Wenan Guo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/84gvpqahgwk5k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.17166",
  "fulltext_url": null,
  "id": "84gvpqahgwk5k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.17166",
  "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": "W7213420597",
  "pdf_url": "https://arxiv.org/pdf/2609.17166",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/84gvpqahgwk5k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.17166",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.17166"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Numerical Study of Stability of Clean Critical Points across Aperiodic, Topological, and Uncorrelated Disorder",
  "title_text": "Numerical Study of Stability of Clean Critical Points across Aperiodic, Topological, and Uncorrelated Disorder",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:41Z",
  "url": "https://research.draconitic.com/paper/84gvpqahgwk5k",
  "venue": "arXiv",
  "versions": []
}