{
  "id": "cond-mat/0212070",
  "version": "v2",
  "published": "2002-12-03T18:52:16.000Z",
  "updated": "2003-10-07T16:13:06.000Z",
  "title": "Energy exponents and corrections to scaling in Ising spin glasses",
  "authors": [
    "J. -P. Bouchaud",
    "F. Krzakala",
    "O. C. Martin"
  ],
  "comment": "12 pages, RevTex, 9 figures",
  "journal": "Phys. Rev. B 68, 224404 (2003).",
  "doi": "10.1103/PhysRevB.68.224404",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We study the probability distribution P(E) of the ground state energy E in various Ising spin glasses. In most models, P(E) seems to become Gaussian with a variance growing as the system's volume V. Exceptions include the Sherrington-Kirkpatrick model (where the variance grows more slowly, perhaps as the square root of the volume), and mean field diluted spin glasses having +/-J couplings. We also find that the corrections to the extensive part of the disorder averaged energy grow as a power of the system size; for finite dimensional lattices, this exponent is equal, within numerical precision, to the domain-wall exponent theta_DW. We also show how a systematic expansion of theta_DW in powers of exp(-d) can be obtained for Migdal-Kadanoff lattices. Some physical arguments are given to rationalize our findings.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-10-07T16:13:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ising spin glasses",
      "energy exponents",
      "corrections",
      "mean field diluted spin glasses",
      "ground state energy"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}