Alladi Ramakrishnan Hall

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

P Rakesh Kumar Dora

IMSc

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 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.