Topological Phases in the Zeroth Landau Level of Bilayer Graphene

Z. Papić and D. A. Abanin
Phys. Rev. Lett. 112, 046602 – Published 28 January 2014
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Abstract

We analyze the phase diagram of the zeroth Landau level of bilayer graphene, taking into account the realistic effects of screening of the Coulomb interaction and strong mixing between two degenerate sublevels. We identify robust quantum Hall states at filling factors ν=1, 43, 53, 85, 12 and discuss the nature of their ground states, collective excitations, and relation to the more familiar states in GaAs using a tractable model. In particular, we present evidence that the ν=12 state is non-Abelian and described by either the Moore-Read wave function or its particle-hole conjugate, while ruling out other candidates such as the 331 state.

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  • Received 15 July 2013

DOI:https://doi.org/10.1103/PhysRevLett.112.046602

© 2014 American Physical Society

Authors & Affiliations

Z. Papić1,2,3 and D. A. Abanin2,3

  • 1Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA
  • 2Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada
  • 3Institute for Quantum Computing, Waterloo, Ontario N2L 3G1, Canada

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Issue

Vol. 112, Iss. 4 — 31 January 2014

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