Abstract
We investigate the influence of electron-electron interactions on the electronic properties of quantum dots in a regime where the energy-level separation is comparable to or larger than the Coulomb charging energy at low temperature ${(e}^{2}/2C\ensuremath{\gg}{k}_{B}T).$ A self-consistent three-dimensional solution of Schr\"odinger and Poisson equation within the local-density approximation is implemented to study the formation of shell structure in highly symmetric quantum dots which is in good agreement with recent experimental results [Tarucha et al., Phys. Rev. Lett. 77, 3613 (1996)] For asymmetric quantum dots, we show that the shell structure disappears, and features due to electron-electron interaction lead to the accidental formation of an isolated electron shell called ``Coulomb degeneracy'' in the energy spectrum.
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