{
  "id": "cond-mat/9907470",
  "version": "v1",
  "published": "1999-07-29T18:38:54.000Z",
  "updated": "1999-07-29T18:38:54.000Z",
  "title": "Marginal Pinning of Quenched Random Polymers",
  "authors": [
    "D. A. Gorokhov",
    "G. Blatter"
  ],
  "comment": "4 pages, RevTeX, 1 figure inserted",
  "doi": "10.1103/PhysRevB.62.14032",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "cond-mat.supr-con"
  ],
  "abstract": "An elastic string embedded in 3D space and subject to a short-range correlated random potential exhibits marginal pinning at high temperatures, with the pinning length $L_c(T)$ becoming exponentially sensitive to temperature. Using a functional renormalization group (FRG) approach we find $L_c(T) \\propto \\exp[(32/\\pi)(T/T_{\\rm dp})^3]$, with $T_{\\rm dp}$ the depinning temperature. A slow decay of disorder correlations as it appears in the problem of flux line pinning in superconductors modifies this result, $\\ln L_c(T)\\propto T^{3/2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-07-29T18:38:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quenched random polymers",
      "marginal pinning",
      "functional renormalization group",
      "short-range correlated random potential",
      "3d space"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}