Finite-size studies of particles obeying fractional statistics

The ground-state properties of particles obeying fractional statistics, on lattices with spherical topology, are studied numerically. The possible existence of superfluidity in semion systems is examined by studies of pairing energies, flux quantization, and the effects of applied magnetic fields. Evidence of superfluidity is observed, in agreement with previous numerical studies on cylindrical topologies. Comparison of the results for these different topologies allows some conclusions to be made about finite-size and boundary effects. In particular, we argue that there is no constant shift in the flux-quantization values.