Global Phase Diagram of the Fractional Quantum Hall Effect Arising from Repulsive Three-Body Interactions

Arkadiusz Wójs, Csaba Tőke, and Jainendra K. Jain
Phys. Rev. Lett. 105, 196801 – Published 5 November 2010


The model of fermions in a magnetic field interacting via a purely three-body repulsive interaction has attracted interest because it produces, in the limit of short range interaction, the Pfaffian state with non-Abelian excitations. We show that this is part of a 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 breakthroughs in ultracold atoms have facilitated the realization of such a system, where this physics can be tested.

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  • Received 29 May 2010


© 2010 The American Physical Society

Authors & Affiliations

Arkadiusz Wójs1,2, Csaba Tőke3, and Jainendra K. Jain4

  • 1TCM Group, Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom
  • 2Institute of Physics, Wroclaw University of Technology, 50-370 Wroclaw, Poland
  • 3Institute of Physics, University of Pécs, 7624 Pécs, Hungary
  • 4Department of Physics, 104 Davey Lab, Pennsylvania State University, University Park, Pennsylvania 16802, USA

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Vol. 105, Iss. 19 — 5 November 2010

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