{
  "id": "cond-mat/0603591",
  "version": "v2",
  "published": "2006-03-22T20:09:53.000Z",
  "updated": "2007-02-15T20:55:11.000Z",
  "title": "Macroscopic vs. microscopic models of circular Quantum Dots",
  "authors": [
    "J. Martorell",
    "D. W. L. Sprung"
  ],
  "comment": "original: 16 pages, 14 figures revision: reduced size to 14 pages, 13 figures",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "The confinement mechanism of electrons in gated circular quantum dots is studied in a sequence of models, from self-consistent 3D Hartree calculations to the semiclassical model of Shikin et al. Separation of the vertical from transverse confinement allows accurate 2D Hartree calculations. For moderate size dots containing $\\sim 50$ electrons, 2D Thomas-Fermi can also be accurate. Finally, a Shikin type parameterization of the electron density allows quantitative study of the importance of the many contributions to the confinement potential.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-02-15T20:55:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "microscopic models",
      "self-consistent 3d hartree calculations",
      "macroscopic",
      "accurate 2d hartree calculations",
      "gated circular quantum dots"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006cond.mat..3591M"
    }
  }
}