V. Melikalaverdian et al., QUANTUM HALL FLUIDS ON THE HALDANE SPHERE - A DIFFUSION MONTE-CARLO STUDY, Physical review letters, 79(26), 1997, pp. 5286-5289
A generalized diffusion Monte Carlo method for solving the many-body S
chrodinger equation on curved manifolds is introduced and used to perf
orm a ''fixed-phase'' simulation of the fractional quantum Hall effect
on the Haldane sphere. This new method is used to study the effect of
Landau level mixing on the nu = 1/3 energy gap and the relative stabi
lity of spin-polarized and spin-reversed quasielectron excitations.