Superfluidity of lattice semions

Semions on the square, triangular, and kagome$aa— lattices are studied using mean-field theory and numerical diagonalization. Semions are particles obeying fractional statistics, with statistics parameter ν=1/2. A mean-field treatment which includes Gaussian fluctuations indicates that semions on a lattice form a superfluid at zero temperature for most densities ρ. The mean-field results are compared with those of a numerical analysis of semions on small lattices. Using finite-size scaling, the lattice semions are tested for flux quantization, a signature of superfluidity. The results of the numerical analysis generally corroborate those of the mean-field approach.