{
  "id": "0708.1639",
  "version": "v2",
  "published": "2007-08-13T02:12:08.000Z",
  "updated": "2008-05-02T18:18:26.000Z",
  "title": "Many-body generalization of the Z2 topological invariant for the quantum spin Hall effect",
  "authors": [
    "Sung-Sik Lee",
    "Shinsei Ryu"
  ],
  "comment": "4 pages, 3 figures (final version to appear in Phys. Rev. Lett.)",
  "journal": "Phys. Rev. Lett. 100, 186807 (2008)",
  "doi": "10.1103/PhysRevLett.100.186807",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We propose a many-body generalization of the Z2 topological invariant for the quantum spin Hall insulator, which does not rely on single-particle band structures. The invariant is derived as a topological obstruction that distinguishes topologically distinct many-body ground states on a torus. It is also expressed as a Wilson-loop of the SU(2) Berry gauge field, which is quantized due to the time-reversal symmetry.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-05-02T18:18:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.43.-f",
      "72.25.Hg",
      "85.75.-d"
    ],
    "keywords": [
      "quantum spin hall effect",
      "z2 topological invariant",
      "many-body generalization",
      "distinct many-body ground states",
      "topologically distinct many-body ground"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2008,
      "month": "May",
      "volume": 100,
      "number": 18,
      "pages": 186807
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvL.100r6807L"
    }
  }
}