{
  "id": "cond-mat/0104232",
  "version": "v1",
  "published": "2001-04-12T14:55:54.000Z",
  "updated": "2001-04-12T14:55:54.000Z",
  "title": "Marginal pinning of vortices at high temperature",
  "authors": [
    "M. Mueller",
    "D. A. Gorokhov",
    "G. Blatter"
  ],
  "comment": "5 pages, RevTeX, 1 postscript figure inserted",
  "journal": "Phys. Rev. B 64, 134523 (2001)",
  "doi": "10.1103/PhysRevB.64.134523",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "cond-mat.supr-con"
  ],
  "abstract": "We analyze the competition between thermal fluctuations and pinning of vortices in bulk type II superconductors subject to point-like disorder and derive an expression for the temperature dependence of the pinning length L_c(T) which separates different types of single vortex wandering. Given a disorder potential with a basic scale \\xi and a correlator K_0(u) \\sim K_0 (u/xi)^{-\\beta} ln^alpha (u/xi) we determine the dependence of L_c(T) on the correlator range: correlators with \\beta > 2 (short-range) and \\beta <2 (long-range) lead to the known results L_c(T) \\sim L_c(0) exp[C T^3] and L_c(T) \\sim L_c(0) (C T)^{(4+beta)/(2-beta)}, respectively. Using functional renormalization group we show that for \\beta =2 the result takes the interpolating form L_c(T) \\sim L_c(0) exp[C T^{3/(2+alpha)}]. Pinning of vortices in bulk type II superconductors involves a long-range correlator with \\beta=2, \\alpha=1 on intermediate scales \\xi<u<\\lambda, with \\xi and \\lambda the coherence length and London penetration depth, hence L_c(T) \\sim L_c(0) exp[C T]; at large distances L_c(T) crosses over to the usual short-range behavior.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-04-12T14:55:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "high temperature",
      "marginal pinning",
      "bulk type",
      "functional renormalization group",
      "london penetration depth"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}