{
  "id": "1005.3213",
  "version": "v1",
  "published": "2010-05-18T14:40:00.000Z",
  "updated": "2010-05-18T14:40:00.000Z",
  "title": "Symmetries, Dimensions, and Topological Insulators: the mechanism behind the face of the Bott clock",
  "authors": [
    "Michael Stone",
    "Ching-Kai Chiu",
    "Abhishek Roy"
  ],
  "comment": "RevTeX 28 pages, no figures.",
  "journal": "J. Phys. A: Math. Theor. 44 045001 (2011)",
  "doi": "10.1088/1751-8113/44/4/045001",
  "categories": [
    "cond-mat.mes-hall",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We provide an account of some of the mathematics of Bott periodicity and the Atiyah, Bott, Shapiro construction. We apply these ideas to understanding the twisted bundles of electron bands that underly the properties of topological insulators, spin Hall systems, and other topologically interesting materials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-18T14:40:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological insulators",
      "bott clock",
      "symmetries",
      "dimensions",
      "spin hall systems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2011,
      "month": "Jan",
      "volume": 44,
      "number": 4,
      "pages": "045001"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JPhA...44d5001S"
    }
  }
}