{
  "id": "0909.4442",
  "version": "v1",
  "published": "2009-09-24T08:29:12.000Z",
  "updated": "2009-09-24T08:29:12.000Z",
  "title": "Critical behavior and entanglement of the random transverse-field Ising model between one and two dimensions",
  "authors": [
    "Istvan A. Kovacs",
    "Ferenc Igloi"
  ],
  "comment": "10 pages, 9 figures",
  "journal": "Phys. Rev. B 80, 214416 (2009)",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider disordered ladders of the transverse-field Ising model and study their critical properties and entanglement entropy for varying width, $w \\le 20$, by numerical application of the strong disorder renormalization group method. We demonstrate that the critical properties of the ladders for any finite $w$ are controlled by the infinite disorder fixed point of the random chain and the correction to scaling exponents contain information about the two-dimensional model. We calculate sample dependent pseudo-critical points and study the shift of the mean values as well as scaling of the width of the distributions and show that both are characterized by the same exponent, $\\nu(2d)$. We also study scaling of the critical magnetization, investigate critical dynamical scaling as well as the behavior of the critical entanglement entropy. Analyzing the $w$-dependence of the results we have obtained accurate estimates for the critical exponents of the two-dimensional model: $\\nu(2d)=1.25(3)$, $x(2d)=0.996(10)$ and $\\psi(2d)=0.51(2)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-24T08:29:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.50.Lk",
      "05.30.-d",
      "75.10.Nr",
      "75.40.Gb"
    ],
    "keywords": [
      "random transverse-field ising model",
      "critical behavior",
      "strong disorder renormalization group method",
      "entanglement entropy",
      "dimensions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "doi": "10.1103/PhysRevB.80.214416",
      "year": 2009,
      "month": "Dec",
      "volume": 80,
      "number": 21,
      "pages": 214416
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvB..80u4416K"
    }
  }
}