{
  "id": "1311.1099",
  "version": "v2",
  "published": "2013-11-05T15:55:02.000Z",
  "updated": "2014-02-21T20:59:20.000Z",
  "title": "Systematic Construction of tight-binding Hamiltonians for Topological Insulators and Superconductors",
  "authors": [
    "Dong-Ling Deng",
    "Sheng-Tao Wang",
    "Lu-Ming Duan"
  ],
  "comment": "7 pages (including supplemental material), 1 figure, 1 table",
  "journal": "Phys. Rev. B 89, 075126 (2014)",
  "doi": "10.1103/PhysRevB.89.075126",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.supr-con"
  ],
  "abstract": "A remarkable discovery in recent years is that there exist various kinds of topological insulators and superconductors characterized by a periodic table according to the system symmetry and dimensionality. To physically realize these peculiar phases and study their properties, a critical step is to construct experimentally relevant Hamiltonians which support these topological phases. We propose a general and systematic method based on the quaternion algebra to construct the tight binding Hamiltonians for all the three-dimensional topological phases in the periodic table characterized by arbitrary integer topological invariants, which include the spin-singlet and the spin-triplet topological superconductors, the Hopf and the chiral topological insulators as particular examples. For each class, we calculate the corresponding topological invariants through both geometric analysis and numerical simulation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-21T20:59:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.15.Ap",
      "02.40.Re",
      "03.65.Vf",
      "74.20.-z"
    ],
    "keywords": [
      "topological insulators",
      "systematic construction",
      "tight-binding hamiltonians",
      "superconductors",
      "arbitrary integer topological invariants"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2014,
      "month": "Feb",
      "volume": 89,
      "number": 7,
      "pages": "075126"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvB..89g5126D"
    }
  }
}