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  • Letter

Nature of the anomalous 4/13 fractional quantum Hall effect in graphene

Rakesh K. Dora and Ajit C. Balram

  • Institute of Mathematical Sciences, CIT Campus, Chennai 600113, India and Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai 400094, India

Phys. Rev. B 105, L241403 – Published 7 June, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L241403

Abstract

Extensive fractional quantum Hall effect (FQHE) has been observed in graphene-based materials. Some of the observed fractions are anomalous in that FQHE has not been established at these fractions in conventional GaAs systems. One such fraction is 4/13, where incompressibility has recently been reported in graphene [Kumar et al., Nat. Commun. 9, 2776 (2018)]. We propose a partonic wave function at 4/13 and show it to be a viable candidate to describe the Coulomb ground state. Using the effective edge theory, we make predictions for experimentally measurable properties of the state.

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