A generalized FQHE trial wave function on spherical geometry

Using Haldane's spherical model, new microscopic trial wave functions originally built on disk geometry are mapped onto the sphere. These wave functions were obtained for arbitrary fractional filling by adiabatic interpolation through anyon Hamiltonians. Monte Carlo methods have been employed to evaluate the ground state energy at different fillings using up to 128 electrons on a sphere. Results are consistent with extrapolation of exact system diagonalization and earlier Monte Carlo calculations.