Fractional quantum Hall effect arising from repulsive three body interaction

Details Fractional quantum Hall effect arising from repulsive three body interaction Fractional quantum Hall effect arising from repulsive three body interaction

2010-05-30

arxiv.org/abs/1005.5493v1

Phys. Rev. Lett. 105, 196801 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

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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