{
  "id": "cond-mat/9709197",
  "version": "v2",
  "published": "1997-09-17T17:25:13.000Z",
  "updated": "1997-12-01T10:34:19.000Z",
  "title": "The Lower Critical Dimension of the XY Spin Glass",
  "authors": [
    "J. Maucourt",
    "D. R. Grempel"
  ],
  "comment": "4 pages, 3 ps figures. Typos have been corrected, one reference has been added and the concluding paragraph has been expanded. To appear in Phys. Rev. Lett",
  "doi": "10.1103/PhysRevLett.80.770",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We investigate the XY spin-glass model in two and three dimensions using the domain-wall renormalization-group method. The results for systems of linear sizes up to L=12 (2D) and L=8 (3D) strongly suggest that the lower critical dimension for spin-glass ordering may be $d_{c}\\approx 3$ rather than four as is commonly believed. Our 3D data favor the scenario of a low but finite spin-glass ordering temperature below the chiral transition but they are also compatible with the system being at or slightly below its lower critical dimension.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1997-12-01T10:34:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lower critical dimension",
      "xy spin glass",
      "xy spin-glass model",
      "domain-wall renormalization-group method",
      "finite spin-glass ordering temperature"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}