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

V. Melik-Alaverdian·N. E. Bonesteel·G. Ortiz
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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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V. Melik-Alaverdian, N. E. Bonesteel, G. Ortiz. 1997-07-23. Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study. https://doi.org/10.1103/physrevlett.79.5286

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