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Condensation of fractional excitons, non-Abelian states in double-layer quantum Hall systems and Z_4 parafermions

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arxiv 1007.2022 v1 pith:M6R76VLI submitted 2010-07-13 cond-mat.mes-hall

Edward Rezayi , Xiao-Gang Wen , N. Read This is my paper · ORCID
classification cond-mat.mes-hall
keywords statedouble-layernon-abeliancondensationfractionalobtainstatesactually
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In this paper, we study a method to obtain non-Abelian FQH state through double-layer FQH states and fractional exciton condensation. In particular, we find that starting with the (330) double-layer state and then increasing the interlayer tunneling strength, we may obtain a single-layer non-Abelian FQH state S(330). We show that the S(330) state is actually the Z_4 parafermion Read-Rezayi state. We also calculate the edge excitation of the S(330) state.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Half state at $\nu_{tot}$ = -1/2 and its transition in Decoupled Twisted Double Bilayer Graphene

    cond-mat.mes-hall 2026-07 conditional novelty 6.0 of 10

    A half-filling fractional quantum Hall state at ν_tot = -1/2 in decoupled twisted double bilayer graphene transitions from a two-component Halperin (331) state to a one-component non-Abelian state under displacement field.

  2. Observation of 1/3 fractional quantum Hall physics in balanced large angle twisted bilayer graphene

    cond-mat.mes-hall 2024-12 conditional novelty 6.0 of 10

    Observation of a quantized 1/3 fractional quantum Hall plateau in balanced large-angle twisted bilayer graphene, identified as the interlayer coherent (333) state.

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