{
  "id": "1605.05072",
  "version": "v1",
  "published": "2016-05-17T09:32:42.000Z",
  "updated": "2016-05-17T09:32:42.000Z",
  "title": "Phase transitions in disordered systems: the example of the random-field Ising model in four dimensions",
  "authors": [
    "Nikolaos G. Fytas",
    "Victor Martin-Mayor",
    "Marco Picco",
    "Nicolas Sourlas"
  ],
  "comment": "8 pages, 8 figures, 1 table ; supplemental material appended at the end ; version to be published in Phys. Rev. Lett",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "By performing a high-statistics simulation of the $D=4$ random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high accuracy the complete set of critical exponents for this class, including the correction-to-scaling exponent. Our results indicate that in four dimensions: (i) dimensional reduction as predicted by the perturbative renormalization group does not hold and (ii) three independent critical exponents are needed to described the transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-17T09:32:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random-field ising model",
      "phase transitions",
      "disordered systems",
      "dimensions",
      "single universality class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}