Investigation of excitation energies and Hund's rule in open shell quantum dots by diffusion Monte Carlo

Abstract

We use diusion Monte Carlo to study the ground state, the low-lying excitation spectrum and the spin densities of circular quantum dots with parabolic radial potentials containing N =1 6 and N = 24 electrons, each having four open-shell electrons and compare the results to those obtained from Hartree-Fock (HF) and density functional local spin density approximation (LSDA) calculations. We nd that Hund's rst rule is obeyed in both cases and that neither HF nor LSDA correctly predict the ordering of the energy levels. PACS. 73.21.La Electron states in quantum dots