{
  "id": "1008.2498",
  "version": "v1",
  "published": "2010-08-15T04:55:58.000Z",
  "updated": "2010-08-15T04:55:58.000Z",
  "title": "Monte Carlo studies of the ordering of the one-dimensional Heisenberg spin glass with long-range power-law interactions",
  "authors": [
    "Dao Xuan Viet",
    "Hikaru Kawamura"
  ],
  "comment": "28 pages, 26 figures, to appear in J. Phys. Soc. Jpn",
  "journal": "J. Phys. Soc. Jpn., 79, 104708 (2010)",
  "doi": "10.1143/JPSJ.79.104708",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "The nature of the ordering of the one-dimensional Heisenberg spin-glass model with a long-range power-law interaction is studied by extensive Monte Carlo simulations, with particular attention to the issue of the spin-chirality decoupling/coupling. Large system sizes up to $L=4096$ are studied. With varying the exponent $\\sigma$ describing the power-law interaction, we observe three distinct types of ordering regimes. For smaller $\\sigma$, the spin and the chirality order at a common finite temperature with a common correlation-length exponent, exhibiting the standard spin-chirality coupling behavior. For intermediate $\\sigma$, the chirality orders at a temperature higher than the spin, exhibiting the spin-chirality decoupling behavior. For larger $\\sigma$, both the spin and the chirality order at zero temperature. We construct a phase diagram in the $\\sigma$ versus the temperature plane, and discuss implications of the results. Critical properties associated with both the chiral-glass and the spin-glass transitions are also determined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-15T04:55:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "one-dimensional heisenberg spin glass",
      "long-range power-law interaction",
      "monte carlo studies",
      "chirality order",
      "temperature"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of the Physical Society of Japan",
      "year": 2010,
      "month": "Oct",
      "volume": 79,
      "number": 10,
      "pages": 4708
    },
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010JPSJ...79j4708V"
    }
  }
}