{
  "id": "1410.5322",
  "version": "v1",
  "published": "2014-10-20T15:48:41.000Z",
  "updated": "2014-10-20T15:48:41.000Z",
  "title": "Inequalities between ground-state energies of Heisenberg models",
  "authors": [
    "Jacek Wojtkiewicz",
    "Rafał Skolasiński"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Lieb-Schupp inequality is the inequality between ground state en- ergies of certain antiferromagnetic Heisenberg spin systems. In our paper, the numerical value of energy difference given by Lieb-Schupp inequality has been tested for spin systems in various geometries: chains, ladders and quasi-two-dimensional lattices. It turned out that this energy difference was strongly dependent on the class of the system. The relation between this difference and a fall-off of a correlation function has been empirically found and formulated as a conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-20T15:48:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "heisenberg models",
      "ground-state energies",
      "antiferromagnetic heisenberg spin systems",
      "lieb-schupp inequality",
      "energy difference"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.physa.2014.09.042",
      "journal": "Physica A Statistical Mechanics and its Applications",
      "year": 2015,
      "month": "Feb",
      "volume": 419,
      "pages": 134
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015PhyA..419..134W"
    }
  }
}