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Fractional Quantum Hall States in Fast Rotating Bose Gases

A. Lakhoua·T. Masson·J. C. Wallet
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Abstract

We use a Chern Simons Landau-Ginzburg (CSLG) framework related to hierarchies of composite bosons to describe 2D harmonically trapped fast rotating Bose gases in Fractional Quantum Hall Effect (FQHE) states. The predicted values for $ν$ (ratio of particle to vortex numbers) are $ν$$=$${{p}\over{q}}$ ($p$, $q$ are any integers) with even product $pq$, including numerically favored values previously found and predicting a richer set of values. We show that those values can be understood from a bosonic analog of the law of the corresponding states relevant to the electronic FQHE. A tentative global phase diagram for the bosonic system for $ν$$<$1 is also proposed.

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A. Lakhoua, T. Masson, J. C. Wallet. 2006-12-19. Fractional Quantum Hall States in Fast Rotating Bose Gases. https://arxiv.org/abs/cond-mat/0612479

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