ADDITION SPECTRA OF QUANTUM DOTS IN STRONG MAGNETIC-FIELDS

We consider the magnetic field dependence of the chemical potential fo r parabolically confined quantum dots in a strong magnetic field. Appr oximate expressions based on the notion that the size of a dot is dete rmined by a competition between confinement and interaction energies a re shown to be consistent with exact diagonalization studies for small quantum dots. Fine structure is present in the magnetic field depende nce which cannot be explained without a full many-body description and is associated with ground-state level crossings as a function of conf inement strength or Zeeman interaction strength. Some of this fine str ucture is associated with precursors of the bulk incompressible states responsible for the fractional quantum Hall effect.