{
  "id": "1109.5983",
  "version": "v4",
  "published": "2011-09-27T18:14:15.000Z",
  "updated": "2012-09-17T14:23:56.000Z",
  "title": "Topological States and Adiabatic Pumping in Quasicrystals",
  "authors": [
    "Yaacov E. Kraus",
    "Yoav Lahini",
    "Zohar Ringel",
    "Mor Verbin",
    "Oded Zilberberg"
  ],
  "comment": "10 pages, 5 figures, 4 appendices",
  "journal": "Phys. Rev. Lett. 109, 106402 (2012)",
  "doi": "10.1103/PhysRevLett.109.106402",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.mtrl-sci",
    "physics.optics",
    "quant-ph"
  ],
  "abstract": "The unrelated discoveries of quasicrystals and topological insulators have in turn challenged prevailing paradigms in condensed-matter physics. We find a surprising connection between quasicrystals and topological phases of matter: (i) quasicrystals exhibit nontrivial topological properties and (ii) these properties are attributed to dimensions higher than that of the quasicrystal. Specifically, we show, both theoretically and experimentally, that one-dimensional quasicrystals are assigned two-dimensional Chern numbers and, respectively, exhibit topologically protected boundary states equivalent to the edge states of a two-dimensional quantum Hall system.We harness the topological nature of these states to adiabatically pump light across the quasicrystal. We generalize our results to higher-dimensional systems and other topological indices. Hence, quasicrystals offer a new platform for the study of topological phases while their topology may better explain their surface properties.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-09-17T14:23:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "71.23.Ft",
      "05.30.Rt",
      "42.70.Qs",
      "73.43.Nq"
    ],
    "keywords": [
      "topological states",
      "adiabatic pumping",
      "two-dimensional quantum hall system",
      "topologically protected boundary states equivalent",
      "topological phases"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2012,
      "month": "Sep",
      "volume": 109,
      "number": 10,
      "pages": 106402
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012PhRvL.109j6402K"
    }
  }
}