Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study
Mesoscale and Nanoscale Physics
2009-10-30 v1
Abstract
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 energy gap and the relative stability of spin-polarized and spin-reversed quasielectron excitations.
Cite
@article{arxiv.cond-mat/9707251,
title = {Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study},
author = {V. Melik-Alaverdian and N. E. Bonesteel and G. Ortiz},
journal= {arXiv preprint arXiv:cond-mat/9707251},
year = {2009}
}
Comments
13 pages, Revtex + psfig, figures included