{
  "id": "1512.05971",
  "version": "v1",
  "published": "2015-12-18T14:29:09.000Z",
  "updated": "2015-12-18T14:29:09.000Z",
  "title": "Chiral and Non-Chiral Edge States in Quantum Hall Systems with Charge Density Modulation",
  "authors": [
    "Paweł Szumniak",
    "Jelena Klinovaja",
    "Daniel Loss"
  ],
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We consider a system of weakly coupled wires with quantum Hall effect (QHE) and in the presence of a spatially periodic modulation of the chemical potential along the wire, equivalent to a charge density wave (CDW). We investigate the competition between the two effects which both open a gap. We show that by changing the ratio between the amplitudes of the CDW modulation and the tunneling between wires, one can switch between non-topological CDW-dominated phase to topological QHE-dominated phase. Both phases host edge states of chiral and non-chiral nature robust to on-site disorder. However, only in the topological phase, the edge states are immune to disorder in the phase shifts of the CDWs. We provide analytical solutions for filling factor $\\nu=1$ and study numerically effects of disorder as well as present numerical results for higher filling factors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-18T14:29:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum hall systems",
      "non-chiral edge states",
      "charge density modulation",
      "phases host edge states",
      "non-chiral nature robust"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151205971S"
    }
  }
}