Nature of the anomalous 4/13 fractional quantum Hall effect in graphene
ORAL
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.
*Computational portions of this research work were conducted using the Nandadevi supercomputer, which is maintained and supported by the Institute of Mathematical Science's High-Performance Computing Center. A. C. B. thanks the Science and Engineering Research Board (SERB) of the Department of Science and Technology (DST) for funding support via the Start-up Grant No. SRG/2020/000154. Some of the numerical calculations were performed using the DiagHam package, for which we are grateful to its authors.
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Publication: Rakesh K. Dora and Ajit C. Balram, Nature of the anomalous 4/13 fractional quantum Hall effect in graphene, Phys. Rev. B 105, L241403 (2022)
Presenters
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Ajit C Coimbatore Balram
- Institute of Mathematical Sciences, India
- Institute of Mathematical Sciences, CIT Campus
- The Institute of Mathematical Sciences (IMSc)