Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study

Details Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study

1997-07-23

arxiv.org/abs/cond-mat/9707251v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, Revtex + psfig, figures included

Scientific paper

10.1103/PhysRevLett.79.5286

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 $\nu=1/3$ energy gap and the relative stability of spin-polarized and spin-reversed quasielectron excitations.

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