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The maximum density droplet to lower density droplet transition in quantum dots

A. D. Güçlü·C. J. Umrigar
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Abstract

We show that, Landau level mixing in two-dimensional quantum dot wave functions can be taken into account very effectively by multiplying the exact lowest Landau level wave functions by a Jastrow factor which is optimized by variance minimization. The comparison between exact diagonalization and fixed phase diffusion Monte Carlo results suggests that the phase of the many-body wave functions are not affected much by Landau level mixing. We apply these wave functions to study the transition from the maximum density droplet state (incipient integer quantum Hall state with angular momentum L=N(N-1)/2) to lower density droplet states (L>N(N-1)/2).

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A. D. Güçlü, C. J. Umrigar. 2005-06-13. The maximum density droplet to lower density droplet transition in quantum dots. https://doi.org/10.1103/physrevb.72.045309

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