Particle-Hole Symmetric Pfaffian

ORAL

Abstract

A recent experiment of Banerjee et al. [Nature 559, 205 (2018)] measured the thermal Hall conductance to be 5/2 for the ν=5/2 fractional quantum Hall effect. This observation is compatible with the particle-hole symmetric Pfaffian topological order where the chirality of the Majorana edge mode is reversed with respect to that of the Pfaffian. The particle-hole symmetric Pfaffian has not appeared as a viable candidate for the stable gapped phase at ν=5/2 in any numerical calculations for a disorder free system. We construct the particle-hole symmetric Pfaffian wavefunction in sphere and torus geometries for a number of system sizes and study its properties and further investigate the prospect of a particle-hole symmetric Pfaffian topological phase in clean systems.

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Presenters

  • Kiryl Pakrouski

    Princeton University

Authors

  • Kiryl Pakrouski

    Princeton University

  • Frederick D Haldane

    Physics, Princeton University, Princeton University

  • Edward H Rezayi

    Physics, California State University, Los Angeles, California State University, Los Angeles

  • Jie Wang

    Princeton University

  • Kun Yang

    Florida State University, National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32306, USA, Physics, National High Magnetic Field Laboratory and Florida State University, Florida State University, Tallahassee, Florida, USA, National High Magnetic Field Laboratory and Department of Physics, Florida State University