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

TL;DR

This paper develops a methodology to analyze fractional quantum Hall states in bilayer graphene, considering complex effects beyond simple models, and explores the potential realization of the Moore-Read Pfaffian state.

Contribution

It introduces a new approach for studying fractional quantum Hall states in bilayer graphene that includes polarization effects and virtual interband transitions.

Findings

Methodology for analyzing fractional quantum Hall states in bilayer graphene.

Potential realization of Moore-Read Pfaffian state in bilayer graphene.

Enhanced understanding of electron interactions in tunable bilayer systems.

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.