Interaction effects in quantum dots in a vertical magnetic field

The Hartree-Fock approximation has been used to compute the properties of parabolic two-dimensional quantum dots under a perpendicular magnetic field. The addition energies for vertical quantum dots up to N = 20 electrons is analysed at different strengths of the effective electron-electron interaction. A remarkable agreement between experimental data and results for the addition energy for N = 2,3,4, 5 electrons exhibits an important role of the screening of the effective interaction for interpretation of the ground state transitions in the magnetic field. We suggest a recipe to determine the orbital momenta of the QD ground states. We show that quantum shell structure of quantum dots survives only at small magnetic fields.