{
  "id": "1806.04023",
  "version": "v1",
  "published": "2018-06-11T14:40:35.000Z",
  "updated": "2018-06-11T14:40:35.000Z",
  "title": "Higher-order topological insulators protected by (roto)inversion symmetries",
  "authors": [
    "Guido van Miert",
    "Carmine Ortix"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We prove the existence of higher-order topological insulators in: {\\it i}) fourfold rotoinversion invariant bulk crystals, and {\\it ii}) inversion-symmetric systems with or without an additional three-fold rotation symmetry. These states of matter are characterized by a non-trivial $\\mathbb{Z}_2$ topological invariant, which we define in terms of symmetric hybrid Wannier functions of the filled bands, and can be readily calculated from the knowledge of the crystalline symmetry labels of the bulk band structure. The topological invariant determines the generic presence or absence of protected chiral gapless one-dimensional modes localized at the hinges between conventional gapped surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-11T14:40:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher-order topological insulators",
      "inversion symmetries",
      "chiral gapless one-dimensional modes",
      "fourfold rotoinversion invariant bulk crystals",
      "symmetric hybrid wannier functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}