{
  "id": "2310.07978",
  "version": "v1",
  "published": "2023-10-12T01:56:25.000Z",
  "updated": "2023-10-12T01:56:25.000Z",
  "title": "Anderson localization transition in disordered hyperbolic lattices",
  "authors": [
    "Anffany Chen",
    "Joseph Maciejko",
    "Igor Boettcher"
  ],
  "comment": "main text (5 pages with 3 figures) + bibliography (2 pages) + supplemental material (6 pages with 2 figures and 3 tables)",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.mes-hall",
    "cond-mat.stat-mech",
    "cond-mat.str-el",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study Anderson localization in disordered tight-binding models on hyperbolic lattices. Such lattices are geometries intermediate between ordinary two-dimensional crystalline lattices, which localize at infinitesimal disorder, and Bethe lattices, which localize at strong disorder. Using state-of-the-art computational group theory methods to create large systems, we approximate the thermodynamic limit through appropriate periodic boundary conditions and numerically demonstrate the existence of an Anderson localization transition on the $\\{8,3\\}$ and $\\{8,8\\}$ lattices. We find unusually large critical disorder strengths and determine critical exponents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-12T01:56:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "anderson localization transition",
      "disordered hyperbolic lattices",
      "large critical disorder strengths",
      "state-of-the-art computational group theory methods",
      "ordinary two-dimensional crystalline lattices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}