Rules for identifying the magic angular momenta of quantum dots in a strong magnetic field

In quantum dots under a strong magnetic field, all the electrons occupy onl y the lowest Landau level and are spin polarized. When an orbiting electron is regarded as a quasiparticle, the interaction between a pair of quasipar ticles is a short range attraction matched to a long range repulsive tail. Magic numbers of angular momentum are just those where the quasiparticles c an be arranged into compact,act clusters with their sizes determined by the saturation of the, short range attraction.