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Fractional quantum Hall effect in bilayer graphene beyond the single Landau level approximation

2015/05/14 by Kyrylo Snizhko, Snizhko, Kyrylo, Vadim Cheianov +3
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.1505.03787

26 pages, 13 figures

arxiv created 2015/05/14 · openalex publication_date 2015/05/14 · arxiv updated 2015/05/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Bilayer graphene has been predicted to give unprecedented tunability of the electron-electron interaction with the help of external parameters, allowing one to stabilize different fractional quantum Hall states. Recent experimental works make theoretical analysis of such systems extremely relevant. In this paper we describe a methodology for investigating the possibility of realizing specific fractional quantum Hall states in bilayer graphene taking into account polarization effects and virtual interband transitions. We apply this methodology to explore the possibility of realizing the Moore-Read Pfaffian state in bilayer graphene.

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