{
  "id": "1311.5233",
  "version": "v2",
  "published": "2013-11-20T21:00:58.000Z",
  "updated": "2013-12-07T21:47:08.000Z",
  "title": "Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder",
  "authors": [
    "Ian Mondragon-Shem",
    "Juntao Song",
    "Taylor L. Hughes",
    "Emil Prodan"
  ],
  "comment": "5 pages 2 figures + 5 pages, 1 figure supplementary information",
  "journal": "Phys. Rev. Lett. 113, 046802 (2014)",
  "doi": "10.1103/PhysRevLett.113.046802",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.str-el"
  ],
  "abstract": "The chiral AIII symmetry class in the periodic table of topological insulators contains topological phases classified by a winding number $\\nu$ for each odd space-dimension. An open problem for this class is the characterization of the phases and phase-boundaries in the presence of strong disorder. In this work, we derive a covariant real-space formula for $\\nu$ and, using an explicit 1-dimensional disordered topological model, we show that $\\nu$ remains quantized and non-fluctuating when disorder is turned on, even though the bulk energy-spectrum is completely localized. Furthermore, $\\nu$ remains robust even after the insulating gap is filled with localized states, but when the disorder is increased even further, an abrupt change of $\\nu$ to a trivial value is observed. Using exact analytic calculations, we show that this marks a critical point where the localization length diverges. As such, in the presence of disorder, the AIII class displays a markedly different physics from everything known to date, with robust invariants being carried entirely by localized states and bulk extended states emerging from an absolutely localized spectrum. Detailed maps and a clear physical description of the phases and phase boundaries are presented based on numerical and exact analytic calculations.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-07T21:47:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "73.20.Fz",
      "73.21.Hb",
      "73.61.Ng"
    ],
    "keywords": [
      "chiral-symmetric aiii class",
      "strong disorder",
      "topological criticality",
      "insulators contains topological phases",
      "exact analytic calculations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2014,
      "month": "Jul",
      "volume": 113,
      "number": 4,
      "pages": "046802"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvL.113d6802M"
    }
  }
}