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 only the lowest Landau level and are spin polarized. When an orbiting electron is regarded as a quasiparticle, the interaction between a pair of quasiparticles is a short range attraction matched to a long range repulsive tail. Magic numbers of angular momentum are just those where the quasiparticles can be arranged into compact clusters with their sizes determined by the saturation of the short range attraction.