Prediction of a new non-Abelian state at ν = 1/4 in Wide Quantum Wells*

ORAL

Abstract

For zero width systems, the ground state at filling factor ¼ is described by the fully polarized composite fermion Fermi sea. However, fractional quantum Hall effect (FQHE) has been observed at ¼ in wide quantum well samples [1]. We consider several single-component candidate states, and conclude that the non-Abelian “22111-parton” state is the most likely candidate. Our calculated phase diagram as a function of the quantum well width and the density is in very good agreement with experiments. We suggest further experiments that can confirm the nature of the ¼ state and, in particular, distinguish it from other candidate states. We also consider a bilayer system at total filling ¼ as a function of the interlayer separation and predict that it does not support any incompressible FQHE state.
[1] D. Luhman et al., Phys. Rev. Lett. 101, 266804 (2008).

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Presenters

  • William Faugno

    Pennsylvania State University

Authors

  • William Faugno

    Pennsylvania State University

  • Ajit Coimbatore Balram

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

  • 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

  • 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