{
  "id": "1405.3517",
  "version": "v2",
  "published": "2014-05-14T14:48:33.000Z",
  "updated": "2014-08-22T11:22:57.000Z",
  "title": "Random transverse-field Ising chain with long-range interactions",
  "authors": [
    "Róbert Juhász",
    "István A. Kovács",
    "Ferenc Iglói"
  ],
  "comment": "6 pages, 4 figures",
  "journal": "EPL, 107 (2014) 47008",
  "doi": "10.1209/0295-5075/107/47008",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "quant-ph"
  ],
  "abstract": "We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power alpha of the distance. Using variants of the strong-disorder renormalization group method, the critical behavior is found to be controlled by a strong-disorder fixed point with a finite dynamical exponent z_c=alpha. Approaching the critical point, the correlation length diverges exponentially. In the critical point, the magnetization shows an alpha-independent logarithmic finite-size scaling and the entanglement entropy satisfies the area law. These observations are argued to hold for other systems with long-range interactions, even in higher dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-14T14:48:33.000Z",
      "abstract": "We study the low-energy properties of the long-range random transverse-field Ising chain with ferromagnetic interactions decaying as a power alpha of the distance. Using variants of the strong-disorder renormalization group method, the critical behavior is found to be controlled by a strong-disorder fixed point with a finite dynamical exponent z_c=alpha. At the critical point, the correlation length diverges exponentially, the magnetization shows an alpha-independent logarithmic finite-size scaling and the entanglement entropy satisfies the area law. These observations are argued to hold for another systems with long-range interactions, even in higher dimensions.",
      "comment": "5 pages, 3 figures",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-22T11:22:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "long-range interactions",
      "long-range random transverse-field ising chain",
      "strong-disorder renormalization group method",
      "correlation length diverges",
      "entanglement entropy satisfies"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "EPL (Europhysics Letters)",
      "year": 2014,
      "month": "Aug",
      "volume": 107,
      "number": 4,
      "pages": 47008
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014EL....10747008J"
    }
  }
}