{
  "id": "cond-mat/0302130",
  "version": "v2",
  "published": "2003-02-06T21:05:50.000Z",
  "updated": "2003-04-03T20:45:30.000Z",
  "title": "Group theoretical analysis of symmetry breaking in two-dimensional quantum dots",
  "authors": [
    "Constantine Yannouleas",
    "Uzi Landman"
  ],
  "comment": "A section VI.B entitled \"Quantitative description of the lowest rotational band\" has been added. 16 pages. Revtex with 10 EPS figures. A version of the manuscript with high quality figures is available at http://calcite.physics.gatech.edu/~costas/uhf_group.html For related papers, see http://www.prism.gatech.edu/~ph274cy",
  "journal": "Phys.Rev. B68 (2003) 035325",
  "doi": "10.1103/PhysRevB.68.035325",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.str-el"
  ],
  "abstract": "We present a group theoretical study of the symmetry-broken unrestricted Hartree-Fock orbitals and electron densities in the case of a two-dimensional N-electron single quantum dot (with and without an external magnetic field). The breaking of rotational symmetry results in canonical orbitals that (1) are associated with the eigenvectors of a Hueckel hamiltonian having sites at the positions determined by the equilibrium molecular configuration of the classical N-electron problem, and (2) transform according to the irreducible representations of the point group specified by the discrete symmetries of this classical molecular configuration. Through restoration of the total-spin and rotational symmetries via projection techniques, we show that the point-group discrete symmetry of the unrestricted Hartree-Fock wave function underlies the appearance of magic angular momenta (familiar from exact-diagonalization studies) in the excitation spectra of the quantum dot. Furthermore, this two-step symmetry-breaking/symmetry-restoration method accurately describes the energy spectra associated with the magic angular momenta.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-04-03T20:45:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional quantum dots",
      "group theoretical analysis",
      "hartree-fock wave function underlies",
      "magic angular momenta",
      "symmetry breaking"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. B"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 613221
    }
  }
}