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.

*Swiss National Science Foundation, Early Postdoc.Mobility grant P2EZP2_172168
Department of Energy, BES Grant de-sc0002140

–

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