{
  "id": "cond-mat/0106074",
  "version": "v3",
  "published": "2001-06-05T14:57:00.000Z",
  "updated": "2001-09-24T20:11:15.000Z",
  "title": "Phase diagram of the random field Ising model on the Bethe lattice",
  "authors": [
    "Thomas Nowotny",
    "Heiko Patzlaff",
    "Ulrich Behn"
  ],
  "comment": "Article has been condensed and reorganized; Figs 3,5,6 merged; Fig 4 omitted; Some discussion added at end of Sec. III; 9 pages, 5 figs, RevTeX4, AMSTeX",
  "doi": "10.1103/PhysRevE.65.016127",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "The phase diagram of the random field Ising model on the Bethe lattice with a symmetric dichotomous random field is closely investigated with respect to the transition between the ferromagnetic and paramagnetic regime. Refining arguments of Bleher, Ruiz and Zagrebnov [J. Stat. Phys. 93, 33 (1998)] an exact upper bound for the existence of a unique paramagnetic phase is found which considerably improves the earlier results. Several numerical estimates of transition lines between a ferromagnetic and a paramagnetic regime are presented. The obtained results do not coincide with a lower bound for the onset of ferromagnetism proposed by Bruinsma [Phys. Rev. B 30, 289 (1984)]. If the latter one proves correct this would hint to a region of coexistence of stable ferromagnetic phases and a stable paramagnetic phase.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-09-24T20:11:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random field ising model",
      "bethe lattice",
      "phase diagram",
      "paramagnetic regime",
      "symmetric dichotomous random field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}