{
  "id": "0809.4285",
  "version": "v1",
  "published": "2008-09-24T21:12:01.000Z",
  "updated": "2008-09-24T21:12:01.000Z",
  "title": "Dynamical screening of the Coulomb interaction for two confined electrons in a magnetic field",
  "authors": [
    "N. S. Simonovic",
    "R. G. Nazmitdinov"
  ],
  "comment": "10 pages, 6 figures",
  "journal": "Phys.Rev.A78 (2008) 032115",
  "doi": "10.1103/PhysRevA.78.032115",
  "categories": [
    "cond-mat.mes-hall"
  ],
  "abstract": "We show that a difference in time scales of vertical and lateral dynamics permits one to analyze the problem of interacting electrons confined in an axially symmetric three-dimensional potential with a lateral oscillator confinement by means of the effective two-dimensional Hamiltonian with a screened Coulomb interaction. Using an adiabatic approximation based on action-angle variables, we present solutions for the effective charge of the Coulomb interaction (screening) for a vertical confinement potential simulated by parabolic, square, and triangular wells. While for the parabolic potential the solution for the effective charge is given in a closed anlytical form, for the other cases similar solutions can be easily calculated numerically.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-24T21:12:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03.65.Sq",
      "31.15.xg",
      "73.21.La"
    ],
    "keywords": [
      "coulomb interaction",
      "magnetic field",
      "confined electrons",
      "dynamical screening",
      "axially symmetric three-dimensional potential"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review A",
      "year": 2008,
      "month": "Sep",
      "volume": 78,
      "number": 3,
      "pages": "032115"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvA..78c2115S"
    }
  }
}