Global phase diagram of the fractional quantum hall effect arising from repulsive three-body interactions

Arkadiusz Wójs, Csaba Toke, Jainendra K. Jain

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

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.

Original languageEnglish (US)
Article number196801
JournalPhysical Review Letters
Volume105
Issue number19
DOIs
StatePublished - Nov 5 2010

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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