Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study
V. Melik-Alaverdian, N. E. Bonesteel, G. Ortiz
Abstract
A generalized diffusion Monte Carlo method for solving the many-body Schrödinger 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 ν=1/3 energy gap and the relative stability of spin-polarized and spin-reversed quasielectron excitations.
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