{
  "id": "cond-mat/0502137",
  "version": "v2",
  "published": "2005-02-04T19:08:46.000Z",
  "updated": "2005-09-15T00:08:43.000Z",
  "title": "Why spin ice obeys the ice rules",
  "authors": [
    "S. V. Isakov",
    "R. Moessner",
    "S. L. Sondhi"
  ],
  "comment": "4 pages, 3 figures",
  "journal": "Phys. Rev. Lett. 95, 217201 (2005)",
  "doi": "10.1103/PhysRevLett.95.217201",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn",
    "cond-mat.str-el"
  ],
  "abstract": "The low temperature entropy of the the spin ice compounds, such as Ho$_2$Ti$_2$O$_7$ and Dy$_2$Ti$_2$O$_7$, is well described by the nearest-neighbor antiferromagnetic Ising model on the pyrochlore lattice, i.e.\\ by the ``ice rules''. This is surprising since the dominant coupling between the spins is their long ranged dipole interaction. We show that this phenomenon can be understood rather elegantly: one can construct a model dipole interaction, by adding terms of shorter range, which yields {\\it precisely} the same ground states, and hence T=0 entropy, as the nearest neighbor interaction. A treatment of the small difference between the model and true dipole interactions reproduces the numerical work by Gingras et al in detail. We are also led to a more general concept of projective equivalence between interactions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-09-15T00:08:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spin ice obeys",
      "ice rules",
      "true dipole interactions reproduces",
      "low temperature entropy",
      "nearest-neighbor antiferromagnetic ising model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}