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.

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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