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 integer and fractional quantum-Hall effect on the Haldane sphere. The effect of Landau level mixing on the ν =1 and ν= 1 3 energy gaps and the relative stability of spin-polarized and spin-reversed quasielectron excitations are studied using the new method.
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