{
  "id": "1211.7297",
  "version": "v2",
  "published": "2012-11-30T16:06:19.000Z",
  "updated": "2013-01-19T02:24:50.000Z",
  "title": "Spin glasses in a field: Three and four dimensions as seen from one space dimension",
  "authors": [
    "Derek Larson",
    "Helmut G. Katzgraber",
    "M. A. Moore",
    "A. P. Young"
  ],
  "comment": "10 pages, 8 figures, loads of fun!",
  "journal": "Phys. Rev. B 87, 024414 (2013)",
  "doi": "10.1103/PhysRevB.87.024414",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We study the existence of a line of transitions of an Ising spin glass in a magnetic field-known as the de Almeida-Thouless line-using one-dimensional power-law diluted Ising spin-glass models. We choose the power-law exponent to have values that approximately correspond to three- and four-dimensional nearest-neighbor systems and perform a detailed finite-size scaling analysis of the data for large linear system sizes, both using a new approach proposed recently [Phys. Rev. Lett. 103, 267201 (2009)], as well as traditional approaches. Our results for the model corresponding to a three-dimensional system are consistent with there being no de Almeida-Thouless line, although the new finite-size scaling approach does not rule one out. For the model corresponding to four space dimensions, the new and traditional finite-size scaling analyses give conflicting results, indicating the need for a better understanding of finite-size scaling of spin glasses in a magnetic field.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-01-19T02:24:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "75.50.Lk",
      "75.40.Mg",
      "05.50.+q"
    ],
    "keywords": [
      "spin glasses",
      "space dimension",
      "power-law diluted ising spin-glass",
      "diluted ising spin-glass models",
      "finite-size scaling"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2013,
      "month": "Jan",
      "volume": 87,
      "number": 2,
      "pages": "024414"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013PhRvB..87b4414L"
    }
  }
}