Magnetic field dependence of electronic structures in a deformed quantum dot by 3D-MHFKS calculation

To examine to what extend the magnetic (B) field restores the characteristics of electronic structures with circular symmetry broken quantum numbers (nx,ny) in the elliptically deformed quantum dot to that with the circular symmetry ones (n,l), the B-field and deformation parameter (δ) dependences of the averaged values of angular momentum operator and density profiles of the wave functions are investigated by performing three-dimensional-mesh Hartree–Fock–Kohn–Sham calculation. The electron number (N) dependencies of the electronic structures of interacting electrons in the dot are discussed by comparing B–N phase diagram of the calculated chemical potentials with the measured Coulomb oscillation peak positions. The transitions of states of interacting electrons in the deformed dot are also mentioned by showing how the spin and angular momentum of the occupied single particle wave functions change depending on the B-field.