{
  "id": "cond-mat/0312117",
  "version": "v1",
  "published": "2003-12-04T10:01:23.000Z",
  "updated": "2003-12-04T10:01:23.000Z",
  "title": "Integer quantum Hall effect and Hofstadter's butterfly spectra in three-dimensional metals in external periodic modulations",
  "authors": [
    "Mikito Koshino",
    "Hideo Aoki"
  ],
  "comment": "4 pages, 2 figures",
  "doi": "10.1103/PhysRevB.69.081303",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We propose that Hofstadter's butterfly accompanied by quantum Hall effect that is similar to those predicted to occur in 3D tight-binding systems by Koshino {\\it et al.} [Phys. Rev. Lett. {\\bf 86}, 1062 (2001)] can be realized in an entirely different system -- 3D metals applied with weak external periodic modulations (e.g., acoustic waves). Namely, an effect of two periodic potentials interferes with Landau's quantization due to an applied magnetic field $\\Vec{B}$, resulting generally in fractal energy gaps as a function of the tilting angle of $\\Vec{B}$, for which the accompanying quantized Hall tensors are computed. The phenomenon arises from the fact that, while the present system has a different physical origin for the butterfly from the 3D tight-binding systems, the mathematical forms are remarkably equivalent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-04T10:01:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integer quantum hall effect",
      "external periodic modulations",
      "hofstadters butterfly spectra",
      "three-dimensional metals",
      "3d tight-binding systems"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}