{
  "id": "cond-mat/0605629",
  "version": "v1",
  "published": "2006-05-25T13:47:10.000Z",
  "updated": "2006-05-25T13:47:10.000Z",
  "title": "Spectrum structure for a three-dimensional periodic array of quantum dots in a uniform magnetic field",
  "authors": [
    "J. Bruening",
    "V. V. Demidov",
    "V. A. Geyler",
    "A. V. Popov"
  ],
  "comment": "10 pages, 5 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "By means of the operator extension theory, we construct an explicitly solvable model of a simple-cubic three-dimensional regimented array of quantum dots in the presence of a uniform magnetic field. The spectral properties of the model are studied. It is proved that for each magnetic flux the band is the image of the spectrum of the tight-binding operator under an analytical transformation. In the case of rational magnetic flux the spectrum is described analytically. The flux-energy and angle-energy diagrams are obtained numerically.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-25T13:47:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "uniform magnetic field",
      "three-dimensional periodic array",
      "quantum dots",
      "spectrum structure",
      "operator extension theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006cond.mat..5629B"
    }
  }
}