Tunneling-driven breakdown of the 331 state and the emergent Pfaffian and composite Fermi liquid phases

Z. Papić, M. O. Goerbig, N. Regnault, and M. V. Milovanović
Phys. Rev. B 82, 075302 – Published 3 August 2010

Abstract

We examine the possibility of creating the Moore-Read Pfaffian in the lowest Landau level when the multicomponent Halperin 331 state (believed to describe quantum Hall bilayers and wide quantum wells at the filling factor ν=1/2) is destroyed by the increase of tunneling. Using exact diagonalization of the bilayer Hamiltonian with short-range and long-range (Coulomb) interactions in spherical and periodic rectangular geometries, we establish that tunneling is a perturbation that drives the 331 state into a compressible composite Fermi liquid, with the possibility for an intermediate critical state that is reminiscent of the Moore-Read Pfaffian. These results are interpreted in the two-component BCS model for Cauchy pairing with a tunneling constraint. We comment on the conditions to be imposed on a system with fluctuating density in order to achieve the stable Pfaffian phase.

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  • Received 19 December 2009

DOI:https://doi.org/10.1103/PhysRevB.82.075302

©2010 American Physical Society

Authors & Affiliations

Z. Papić1,2,3, M. O. Goerbig2, N. Regnault3, and M. V. Milovanović1

  • 1Scientific Computing Laboratory, Institute of Physics, University of Belgrade, P. O. Box 68, 11 000 Belgrade, Serbia
  • 2Laboratoire de Physique des Solides, Univ. Paris-Sud, CNRS, UMR 8502, F-91405 Orsay Cedex, France
  • 3Laboratoire Pierre Aigrain, Ecole Normale Supérieure, CNRS, 24 rue Lhomond, F-75005 Paris, France

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Vol. 82, Iss. 7 — 15 August 2010

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