{
  "id": "cond-mat/0301202",
  "version": "v3",
  "published": "2003-01-13T21:01:05.000Z",
  "updated": "2003-11-12T22:22:42.000Z",
  "title": "Nonrealistic Behavior of Mean Field Spin Glasses",
  "authors": [
    "C. M. Newman",
    "D. L. Stein"
  ],
  "comment": "5 pages (RevTeX); 1 figure; final published version",
  "journal": "Physical Review Letters 91, 197205 (2003)",
  "doi": "10.1103/PhysRevLett.91.197205",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "We study chaotic size dependence of the low temperature correlations in the SK spin glass. We prove that as temperature scales to zero with volume, for any typical coupling realization, the correlations cycle through every spin configuration in every fixed observation window. This cannot happen in short-ranged models as there it would mean that every spin configuration is an infinite-volume ground state. Its occurrence in the SK model means that the commonly used `modified clustering' notion of states sheds little light on the RSB solution of SK, and conversely, the RSB solution sheds little light on the thermodynamic structure of EA models.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2003-11-12T22:22:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "mean field spin glasses",
      "nonrealistic behavior",
      "rsb solution sheds little light",
      "spin configuration",
      "states sheds little light"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}