PIRSA:16050011

Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2

Feldman, D. (2016). Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2. Perimeter Institute. https://pirsa.org/16050011

Feldman, Dmitri. Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2. Perimeter Institute, May. 24, 2016, https://pirsa.org/16050011 

          @misc{ pirsa_PIRSA:16050011,
            doi = {10.48660/16050011},
            url = {https://pirsa.org/16050011},
            author = {Feldman, Dmitri},
            keywords = {Condensed Matter},
            language = {en},
            title = {Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {may},
            note = {PIRSA:16050011 see, \url{https://pirsa.org}}
          }

Dmitri Feldman Brown University

DOI 10.48660/16050011
Collection
Talk Type Scientific Series
Subject

Abstract

Numerical results suggest that the quantum Hall effect at {\nu} = 5/2 is described by the Pfaffian or anti-Pfaffian state in the absence of disorder and Landau level mixing. Those states are incompatible with the observed transport properties of GaAs heterostructures, where disorder and Landau level mixing are strong. We show that the recent proposal of a PH-Pfaffian topological order by Son is consistent with all experiments. The absence of the particle-hole symmetry at {\nu} =

5/2 is not an obstacle to the existence of the PH-Pfaffian order since the order is robust to symmetry breaking.