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arXiv · 2202.10395

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

Rakesh K. Dora·Ajit C. Balram
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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. Comm. 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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Rakesh K. Dora, Ajit C. Balram. 2022-02-21. Nature of the anomalous $4/13$ fractional quantum Hall effect in graphene. https://doi.org/10.1103/physrevb.105.l241403

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