Abstract

At finite magnetic field and fixed filling factor \ensuremath{\nu}, as the particle density decreases, the fractional quantum Hall state will at some point give way to the Wigner solid. We calculate the ground-state energy of a Laughlin-like variational wave function at finite magnetic field and density by a quantum Monte Carlo method and compare the results with a calculation of the Wigner solid energy to get an estimate of the zero temperature finite density phase boundary.

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