{
  "id": "1610.05887",
  "version": "v1",
  "published": "2016-10-19T07:13:23.000Z",
  "updated": "2016-10-19T07:13:23.000Z",
  "title": "Zero temperature limit for (1+1) directed polymers with correlated random potential",
  "authors": [
    "Victor Dotsenko"
  ],
  "comment": "8 pages",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "Zero temperature limit in (1+1) directed polymers with finite range correlated random potential is studied. In terms of the standard replica technique it is demonstrated that in this limit the considered system reveals the one-step replica symmetry breaking structure similar to the one which takes place in the Random Energy Model. In particular, it is shown that at the temperature $T_{*} \\sim (u R)^{1/3}$ (where $u$ and $R$ are the strength and the correlation length of the random potential) there is a crossover from the high- to the low-temperature regime. Namely, in the high-temperature regime at $T >> T_{*}$ the model is equivalent to the one with the $\\delta$-correlated potential where the non-universal prefactor of the free energy is proportional to $T^{-2/3}$, while at $T << T_{*}$ this non-universal prefactor saturates at a finite (temperature independent) value.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-19T07:13:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "zero temperature limit",
      "directed polymers",
      "symmetry breaking structure similar",
      "one-step replica symmetry breaking structure",
      "finite range correlated random potential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}