Topological phases in the zeroth landau level of bilayer graphene

Z. Papić, D. A. Abanin

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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.

Original languageAmerican English
Article number046602
JournalPhysical review letters
Issue number4
StatePublished - Jan 28 2014
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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