{
  "abstract": "In Euclidean space, universality classes of Anderson transitions are primarily determined by symmetry and spatial dimensionality. Here, we present evidence for a geometry-controlled universality class of non-Hermitian Anderson transitions on hyperbolic-like lattices. In this setting, critical behavior is influenced by the large-scale hyperbolic geometry, characterized by negative curvature, exponential volume growth, and a non-Euclidean notion of spatial scaling. Finite-size scaling of participation ratios across several distinct \\( \\{p,q\\} \\) tilings reveals one-parameter scaling collapses with a common critical exponent \\( ν\\simeq1 \\) within numerical accuracy. A complementary phenomenological coarse-grained Landau-Ginzburg analysis shows how exponential correlation-volume growth suppresses critical fluctuations, offering a rationale for the observed mean-field-like scaling. Our results suggest that spatial curvature can act as an additional organizing principle for Anderson-transition universality beyond the conventional dimensionality- and symmetry-based classification.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09562",
  "author_total": 4,
  "authors": [
    {
      "name": "Chen Wang"
    },
    {
      "name": "Run-Qiu Yang"
    },
    {
      "name": "X. R. Wang"
    },
    {
      "name": "Hechen Ren"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9e731f372q835.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09562",
  "fulltext_url": null,
  "id": "9e731f372q835",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09562",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.dis-nn"
    ],
    [
      "openalex",
      "3107|Quantum Mechanics and Non-Hermitian Physics"
    ]
  ],
  "openalex": "W7212177835",
  "pdf_url": "https://arxiv.org/pdf/2609.09562",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9e731f372q835.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:12Z",
      "native_id": "2609.09562",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09562"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.dis-nn",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Curvature-Induced Geometric Universality in Non-Hermitian Anderson Transitions",
  "title_text": "Curvature-Induced Geometric Universality in Non-Hermitian Anderson Transitions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:12Z",
  "url": "https://research.draconitic.com/paper/9e731f372q835",
  "venue": "arXiv",
  "versions": []
}