Stabilization of the Particle-Hole Pfaffian Order by Landau-Level Mixing and Impurities That Break Particle-Hole Symmetry

Numerical results suggest that the quantum Hall effect at ν=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 mixin...

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Bibliographic Details
Published in:Physical review letters 2016-08, Vol.117 (9), p.096802-096802, Article 096802
Main Authors: Zucker, P T, Feldman, D E
Format: Article
Language:English
Subjects:
Broken symmetry
Disorders
Proposals
Quantum Hall effect
Stabilization
Symmetry
Topology
Transport properties
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Summary:Numerical results suggest that the quantum Hall effect at ν=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 particle-hole (PH)-Pfaffian topological order by Son is consistent with all experiments. The absence of particle-hole symmetry at ν=5/2 is not an obstacle to the existence of the PH-Pfaffian order since the order is robust to symmetry breaking.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.117.096802