{
  "id": "cond-mat/0011353",
  "version": "v2",
  "published": "2000-11-21T09:11:12.000Z",
  "updated": "2001-04-25T14:28:49.000Z",
  "title": "Scaling approach to order-parameter fluctuations in disordered frustrated systems",
  "authors": [
    "Felix Ritort",
    "Marta Sales"
  ],
  "comment": "4 pages, REVTeX. Some modifications; final version accepted for publication in J. Phys. A: Math. and General (Letters)",
  "doi": "10.1088/0305-4470/34/22/103",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We present a constructive approach to obtain information about the compactness and shape of large-scale lowest excitations in disordered systems by studying order-parameter fluctuations (OPF) at low temperatures. We show that the parameter $G$ which measures OPF is 1/3 at T=0 provided the ground state is unique and the probability distribution for the lowest excitations is gapless and with finite weight at zero-excitation energy. We then apply zero-temperature scaling to describe the energy and volume spectra of the lowest large-scale excitations which scale with the system size and have a weight at ze ro energy $\\hat{P}_v(0)\\sim l^{-\\theta'}$ with $v=l^d$. A low-temperature expansion reveals that, OPF vanish like $L^{-\\theta}$, if $\\theta> 0$ and remain finite for space filling lowest excitations with $\\theta=0$. The method can be extended to extract information about the shape and fractal surface of the large-scale lowest excitations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-04-25T14:28:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "disordered frustrated systems",
      "order-parameter fluctuations",
      "scaling approach",
      "large-scale lowest excitations",
      "lowest large-scale excitations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}