{
  "id": "cond-mat/9612147",
  "version": "v1",
  "published": "1996-12-16T18:05:10.000Z",
  "updated": "1996-12-16T18:05:10.000Z",
  "title": "Invariant structure of the hierarchy theory of fractional quantum Hall states with spin",
  "authors": [
    "M. Milovanovic",
    "N. Read"
  ],
  "comment": "21 pages, LaTex, Submitted to Phys. Rev. B",
  "doi": "10.1103/PhysRevB.56.1461",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We describe the invariant structure common to abelian fractional quantum Hall systems with spin. It appears in a generalization of the lattice description of the polarized hierarchy that encompasses both partially polarized and unpolarized ground state systems. We formulate, using the spin-charge decomposition, conditions that should be satisfied so that the description is SU(2) invariant. In the case of the spin- singlet hierarchy construction, we find that there are as many SU(2) symmetries as there are levels in the construction. We show the existence of a spin and charge lattice for the systems with spin. The ``gluing'' of the charge and spin degrees of freedom in their bulk is described by the gluing theory of lattices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-12-16T18:05:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fractional quantum hall states",
      "hierarchy theory",
      "abelian fractional quantum hall systems",
      "invariant structure common"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}