{
  "id": "0712.0461",
  "version": "v2",
  "published": "2007-12-04T09:26:49.000Z",
  "updated": "2008-01-24T15:36:25.000Z",
  "title": "Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method",
  "authors": [
    "Roman Krcmar",
    "Andrej Gendiar",
    "Kouji Ueda",
    "Tomotoshi Nishino"
  ],
  "comment": "9 pages, 12 figures",
  "journal": "J. Phys. A: Math. Theor. 41 (2008) 125001",
  "doi": "10.1088/1751-8113/41/12/125001",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study two-dimensional ferromagnetic Ising model on a series of regular lattices, which are represented as the tessellation of polygons with p>=5 sides, such as pentagons (p=5), hexagons (p=6), etc. Such lattices are on hyperbolic planes, which have constant negative scalar curvatures. We calculate critical temperatures and scaling exponents by use of the corner transfer matrix renormalization group method. As a result, the mean-field like phase transition is observed for all the cases p>=5. Convergence of the calculated transition temperatures with respect to p is investigated towards the limit p->infinity, where the system coincides with the Ising model on the Bethe lattice.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-24T15:36:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "corner transfer matrix renormalization group",
      "transfer matrix renormalization group method",
      "hyperbolic lattice",
      "two-dimensional ferromagnetic ising model"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.0461K"
    }
  }
}