Fractional Quantum Hall Effect at ν=2+6/13: The Parton Paradigm for the Second Landau Level

ORAL

Abstract

The unexpected appearance of a fractional quantum Hall effect (FQHE) plateau at ν=2+6/13 [Kumar et al., Phys. Rev. Lett. 105, 246808 (2010)] offers a clue into the physical mechanism of the FQHE in the second Landau level (SLL). Here we propose a ``bar3bar2111'' parton wave function and demonstrate it to be a good candidate state for this phase. We make several predictions for experimentally measurable properties that can reveal the nature of this state and also distinguish it from the topologically distinct 6/13 state realized in the lowest Landau level. Taking these results together with the recent demonstration that the related ``bar2bar2111'' wave function is a good candidate for the ground state at ν=2+1/2 [Balram et al., Phys. Rev. B 98, 035127 (2018)], we propose that the ``bar{n}bar2111'' family of parton wave functions naturally describes the experimentally observed sequence of SLL FQHE plateaus at 2+2/3, 2+1/2 and 2+6/13, and their hole partners.

*DNRF, ERC Grant Agreement No. 678862, Villum Foundation, U. S. DOE Grant no. DE-SC0005042, NSF CAREER (DMR-1753240) and JQI-PFC-UMD. Some of the numerical calculations were performed using the DiagHam package, for which we are grateful to its authors.

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Presenters

  • Ajit Coimbatore Balram

    • Niels Bohr Institute
    • Niels Bohr International Academy and the Center for Quantum Devices, Niels Bohr Institute

Authors

  • Ajit Coimbatore Balram

    • Niels Bohr Institute
    • Niels Bohr International Academy and the Center for Quantum Devices, Niels Bohr Institute

  • Sutirtha Mukherjee

    • Quantum Universe Center, Korea Institute of Advanced Study

  • Kwon Park

    • School of Physics and Quantum Universe Center, Korea Institute for Advanced Study
    • Korea Institute for Advanced Study
    • School of Physics, Korea Institute for Advanced Study
    • Physics, Korea Institute for Advanced Study

  • Maissam Barkeshli

    • Physics, University of Maryland
    • University of Maryland, College Park
    • Physics, Condensed Matter Theory Center and Joint Quantum Institute, University of Maryland
    • Physics, University of Maryland, College Park
    • Department of Physics, University of Maryland College Park

  • Mark Rudner

    • Physics, University of Copenhagen
    • Niels Bohr International Academy, University of Copenhagen
    • Niels Bohr International Academy and the Center for Quantum Devices, Niels Bohr Institute
    • Niels Bohr Institute, Copenhagen University
    • Niels Bohr Institute

  • Jainendra Jain

    • Pennsylvania State University
    • Physics, Penn State
    • Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802, USA
    • Department of Physics, Penn State University
    • Physics, Pennsylvania State University