{
  "id": "0803.2617",
  "version": "v1",
  "published": "2008-03-18T12:41:30.000Z",
  "updated": "2008-03-18T12:41:30.000Z",
  "title": "Griffiths-McCoy singularities in random quantum spin chains: Exact results",
  "authors": [
    "Ferenc Iglói",
    "István A. Kovács"
  ],
  "comment": "7 pages, accepted for publication in Phys. Rev. B",
  "journal": "Phys. Rev. B77, 144203 (2008)",
  "doi": "10.1103/PhysRevB.77.144203",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider random quantum (tight-binding, XX and Ising) spin chains in the off-critical region and study their Griffiths-McCoy singularities. These are obtained from the density of states of the low-energy excitations, which is calculated exactly by the Dyson-Schmidt method. In large finite systems the low-energy excitations are shown to follow the statistics of extremes and their distribution is given by the Fr\\'echet form. Relation between the Dyson-Schmidt technique and the strong disorder renormalization group method is also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-18T12:41:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.10.Nr",
      "75.40.Gb",
      "75.10.Pq"
    ],
    "keywords": [
      "random quantum spin chains",
      "griffiths-mccoy singularities",
      "exact results",
      "strong disorder renormalization group method",
      "low-energy excitations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2008,
      "month": "Apr",
      "volume": 77,
      "number": 14,
      "pages": 144203
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvB..77n4203I"
    }
  }
}