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arXiv · 1005.5493

Fractional quantum Hall effect arising from repulsive three body interaction

Arkadiusz Wojs·Csaba Toke·Jainendra K. Jain
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Abstract

We consider a collection of fermions in a strong magnetic field coupled by a purely three body repulsive interaction, and predict the formation of composite fermions, leading to a remarkably rich phase diagram containing a host of fractional quantum Hall states, a composite fermion Fermi sea, and a pairing transition. This is entirely unexpected, because the appearance of composite fermions and fractional quantum Hall effect is ordinarily thought to be a result of strong two-body repulsion. Recent theoretical and experimental breakthroughs in ultra-cold atoms and molecules have facilitated the realization of such a system, where this physics can be tested.

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Arkadiusz Wojs, Csaba Toke, Jainendra K. Jain. 2010-05-30. Fractional quantum Hall effect arising from repulsive three body interaction. https://doi.org/10.1103/physrevlett.105.196801

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