{
  "id": "1710.10649",
  "version": "v1",
  "published": "2017-10-29T17:08:22.000Z",
  "updated": "2017-10-29T17:08:22.000Z",
  "title": "The Bulk-Edge Correspondence in Three Simple Cases",
  "authors": [
    "Jacob Shapiro"
  ],
  "comment": "34 pages, 6 figures",
  "categories": [
    "math-ph",
    "cond-mat.mes-hall",
    "math.MP"
  ],
  "abstract": "We present examples in three symmetry classes of topological insulators in one or two dimensions where the proof of the bulk-edge correspondence is particularly simple. This serves to illustrate the mechanism behind the bulk-edge principle without the overhead of the more general proofs which are available. We also give a new formula for the \\mathbb{Z}_{2}-index of our time-reversal invariant systems inspired by Moore and Balents.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-29T17:08:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bulk-edge correspondence",
      "simple cases",
      "time-reversal invariant systems",
      "symmetry classes",
      "bulk-edge principle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}