{
  "id": "1403.7962",
  "version": "v2",
  "published": "2014-03-31T12:03:26.000Z",
  "updated": "2014-06-25T05:42:00.000Z",
  "title": "Weyl and Dirac semimetals with Z_2 topological charge",
  "authors": [
    "Takahiro Morimoto",
    "Akira Furusaki"
  ],
  "comment": "14 pages, 2 figures",
  "journal": "Phys. Rev. B 89, 235127 (2014)",
  "doi": "10.1103/PhysRevB.89.235127",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We study the stability of gap-closing (Weyl or Dirac) points in the three-dimensional Brillouin zone of semimetals using Clifford algebras and their representation theory. We show that a pair of Weyl points with $\\mathbb{Z}_2$ topological charge are stable in a semimetal with time-reversal and reflection symmetries when the square of the product of the two symmetry transformations equals minus identity. We present toy models of $\\mathbb{Z}_2$ Weyl semimetals which have surface modes forming helical Fermi arcs. We also show that Dirac points with $\\mathbb{Z}_2$ topological charge are stable in a semimetal with time-reversal, inversion, and SU(2) spin rotation symmetries when the square of the product of time-reversal and inversion equals plus identity. Furthermore, we briefly discuss the topological stability of point nodes in superconductors using Clifford algebras.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-25T05:42:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "72.10.-d",
      "73.20.-r",
      "73.43.Cd"
    ],
    "keywords": [
      "topological charge",
      "dirac semimetals",
      "forming helical fermi arcs",
      "modes forming helical fermi",
      "symmetry transformations equals minus identity"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2014,
      "month": "Jun",
      "volume": 89,
      "number": 23,
      "pages": 235127
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvB..89w5127M"
    }
  }
}