SELF-CONSISTENT HARTREE DESCRIPTION OF N-ELECTRONS IN A QUANTUM-DOT WITH A MAGNETIC-FIELD

We have used a Hartree approximation to study the properties of N elec trons in a quantum dot in the presence of a magnetic field. Different Landau bands are found to be weakly coupled to each other and an activ ation energy must be paid for transferring electrons from a Landau ban d to another. It is only for a discrete set of values of the magnetic field that the Coulomb blockade does not exist and that electrons move freely between two different Landau bands. The chemical potential of the system depends almost linearly on the number of particles and osci llates weakly when the magnetic field is varied in agreement with avai lable experimental information.