Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-02-06
Phys.Rev. B68 (2003) 035325
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
A section VI.B entitled "Quantitative description of the lowest rotational band" has been added. 16 pages. Revtex with 10 EPS
Scientific paper
10.1103/PhysRevB.68.035325
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.
Landman Uzi
Yannouleas Constantine
No associations
LandOfFree
Group theoretical analysis of symmetry breaking in two-dimensional quantum dots does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Group theoretical analysis of symmetry breaking in two-dimensional quantum dots, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Group theoretical analysis of symmetry breaking in two-dimensional quantum dots will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-294633