{
  "id": "cond-mat/9711026",
  "version": "v1",
  "published": "1997-11-04T15:54:51.000Z",
  "updated": "1997-11-04T15:54:51.000Z",
  "title": "A variational approach to Ising spin glasses in finite dimensions",
  "authors": [
    "R. Baviera",
    "M. Pasquini",
    "M. Serva"
  ],
  "comment": "16 pages, Plain TeX, uses Harvmac.tex, 4 ps figures, submitted to J. Phys. A: Math. Gen",
  "doi": "10.1088/0305-4470/31/18/005",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We introduce a hierarchical class of approximations of the random Ising spin glass in $d$ dimensions. The attention is focused on finite clusters of spins where the action of the rest of the system is properly taken into account. At the lower level (cluster of a single spin) our approximation coincides with the SK model while at the highest level it coincides with the true $d$-dimensional system. The method is variational and it uses the replica approach to spin glasses and the Parisi ansatz for the order parameter. As a result we have rigorous bounds for the quenched free energy which become more and more precise when larger and larger clusters are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1997-11-04T15:54:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ising spin glasses",
      "variational approach",
      "finite dimensions",
      "random ising spin glass",
      "quenched free energy"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "Plain TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}