Journal
PHYSICAL REVIEW B
Volume 105, Issue 24, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.105.L241403
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Funding
- Institute of Mathematical Science's High-Performance Computing Center
- Science and Engineering Research Board (SERB) of the Department of Science and Technology (DST) [SRG/2020/000154]
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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. 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.
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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