{
  "id": "1508.04564",
  "version": "v1",
  "published": "2015-08-19T08:36:54.000Z",
  "updated": "2015-08-19T08:36:54.000Z",
  "title": "Landau levels on a surface of weak topological insulators",
  "authors": [
    "Yositake Takane"
  ],
  "comment": "8 pages, 12 figures",
  "journal": "J. Phys. Soc. Jpn. 84, 084710 (2015)",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "A three-dimensional weak topological insulator (WTI), being equivalent to stacked layers of two-dimensional quantum spin-Hall insulators, accommodates massless Dirac electrons on its side surface. A notable feature of WTIs is that surface states typically consist of two Dirac cones in the reciprocal space. We study the Landau quantization of Dirac electrons of WTIs in a perpendicular magnetic field. It is shown that when the magnetic length $l_B$ is much larger than the interlayer distance $a$, surface electrons are quantized into Landau levels according to the ordinary quantization rule for Dirac electrons. It is also shown that, with decreasing $l_B$ toward $a$, each Landau level and its spin state become modulated in a nontrivial manner. We demonstrate that this is attributed to the mixing of two Dirac cones induced by the discreteness of the layered structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-19T08:36:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "landau level",
      "two-dimensional quantum spin-hall insulators",
      "dirac cones",
      "surface states typically consist",
      "perpendicular magnetic field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.7566/JPSJ.84.084710",
      "journal": "Journal of the Physical Society of Japan",
      "year": 2015,
      "month": "Aug",
      "volume": 84,
      "number": 8,
      "pages": "084710"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015JPSJ...84h4710T"
    }
  }
}