Four-electron systems confined in multilayer quantum dots

In this paper, we studied four-electron systems confined in one-, two-, and four-layer quantum dots, by the exact diagonalization method. A vertical magnetic field to the confinement plane is considered. The ground-state electronic structures and the spin and angular momentum transitions for different magnetic fields are investigated. Series of magic numbers of angular momentum which minimize the ground-state electron electron interaction energy have been discovered. These are connected to the exchange and rotational symmetries of the systems.