{
  "id": "math-ph/0310059",
  "version": "v1",
  "published": "2003-10-27T20:52:31.000Z",
  "updated": "2003-10-27T20:52:31.000Z",
  "title": "Expansions for Droplet States in the Ferromagnetic XXZ Heisenberg Chain",
  "authors": [
    "Tom Kennedy"
  ],
  "comment": "submitted to the proceedings of the workshop \"Low-energy states in quantum many-body systems\", 29 January 2003, Cergy-Pontoise",
  "journal": "Markov Processes and Related Fields 11 , 223 (2005)",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the highly anisotropic ferromagnetic spin 1/2 Heisenberg chain with periodic boundary conditions. In each sector of constant total z component of the spin, we develop convergent expansions for the lowest band of eigenvalues and eigenfunctions. These eigenstates describe droplet states in which the spins essentially form a single linear droplet which can move. Our results also give a convergent expansion for the dispersion relation, i.e., the energy of the droplet as a function of its momentum. The methods used are from math-ph/0208026 and cond-mat/0104199, and this short paper should serve as a pedagogic introduction to those papers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-10-27T20:52:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B10",
      "82B20"
    ],
    "keywords": [
      "ferromagnetic xxz heisenberg chain",
      "droplet states",
      "convergent expansion",
      "highly anisotropic ferromagnetic spin",
      "periodic boundary conditions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.ph..10059K"
    }
  }
}