{
  "id": "1001.3397",
  "version": "v1",
  "published": "2010-01-19T20:13:33.000Z",
  "updated": "2010-01-19T20:13:33.000Z",
  "title": "Glassy Freezing and Long-Range Order in the 3D Random Field $XY$ Model",
  "authors": [
    "Ronald Fisch"
  ],
  "comment": "4 pages, two-column format",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "Monte Carlo studies of the 3D random field $XY$ model on simple cubic lattices of size $64^3$, using two different isotropic random-field probability distributions of moderate strength, show a glassy freezing behavior above $T_c$, and long-range order below $T_c$, consistent with our earlier results for weaker and stronger random fields. This model should describe random pinning in vortex lattices in type-II superconducting alloys, charge-density wave materials, and decagonal quasicrystals.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-19T20:13:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "3d random field",
      "long-range order",
      "glassy freezing",
      "isotropic random-field probability distributions",
      "simple cubic lattices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.3397F"
    }
  }
}