{
  "id": "1404.6431",
  "version": "v1",
  "published": "2014-04-25T14:26:25.000Z",
  "updated": "2014-04-25T14:26:25.000Z",
  "title": "Stability of the Griffiths phase in the 2D Potts model with correlated disorder",
  "authors": [
    "Christophe Chatelain"
  ],
  "comment": "10 pages, 16 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "A Griffiths phase has recently been observed by Monte Carlo simulations in the 2D $q$-state Potts model with strongly correlated quenched random couplings. In particular, the magnetic susceptibility was shown to diverge algebraically with the lattice size in a broad range of temperatures. However, only relatively small lattice sizes could be considered so one can wonder whether this Griffiths phase will not shrink and collapse into a single point, the critical point, as the lattice size is increased to much larger values. In this paper, the 2D eight-state Potts model is numerically studied for four different disorder correlations. It is shown that the Griffiths phase cannot be explained as a simple spreading of local transition temperatures caused by disorder fluctuations. As a consequence, the vanishing of the latter in the thermodynamic limit does not necessarily imply the collapse of the Griffiths phase into a single point. In contrast, the width of the Griffiths phase is controlled by the disorder strength. However, for disorder correlations decaying slower than $1/r$, no cross-over to a more usual critical behavior could be observed as this strength is tuned to weaker values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-25T14:26:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "griffiths phase",
      "2d potts model",
      "correlated disorder",
      "correlated quenched random couplings",
      "2d eight-state potts model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.6431C"
    }
  }
}