Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study
V. Melik-Alaverdian, N. E. Bonesteel, Gerardo Ortíz
A generalized diffusion Monte Carlo method for solving the many-body Schr\"odinger equation on curved manifolds is introduced and used to perform 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 $\ensuremath{\nu}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1/3$ energy gap and the relative stability of spin-polarized and spin-reversed quasielectron excitations.
arXiv:cond-mat/9707251•Physical Review Letters•Dec 29, 1997•40 citations