Self-consistent Hartree description ofNelectrons in a quantum dot with a magnetic field

We have used a Hartree approximation to study the properties of N electrons 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 activation energy must be paid for transferring electrons from a Landau band 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 oscillates weakly when the magnetic field is varied in agreement with available experimental information.