{
  "id": "2004.11014",
  "version": "v1",
  "published": "2020-04-23T07:53:41.000Z",
  "updated": "2020-04-23T07:53:41.000Z",
  "title": "Spectrum collapse of disordered Dirac Landau levels as non-Hermitian topological phase transition",
  "authors": [
    "Taiki Matsushita",
    "Yuki Nagai",
    "Satoshi Fujimoto"
  ],
  "comment": "6 pages, 3 figures",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We investigate disorder effects on Landau levels in Dirac semimetals. It is found that disorder induces the spectrum collapse of Landau levels; i.e., the disappearance of the energy gaps between $n$-th and $-n$-th levels under a finite external magnetic field. By treating the magnetic field as a synthesized dimension of momentum, the spectrum collapse can be associated with a non-Hermitian topological phase transition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-23T07:53:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-hermitian topological phase transition",
      "disordered dirac landau levels",
      "spectrum collapse",
      "finite external magnetic field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}