Effective field theories for the $\nu =5/2$ edge

Abstract

We present a list of possible effective theories which may describe a QHE edge at filling fraction $\nu =5/2$. We show that there exist several abelian and non-abelian effective theories (apart from those discussed in the literature) compatible with the physical requirements imposed by the microscopic nature of the system. We compare predictions of these theories with previous proposals and with the results of recent experiments. We identify a set of theories, both abelian and non-abelian, that cannot be distinguished based on the quasihole tunneling data only. We discuss what experimental information may be useful in resolving the ambiguity.

5 pages, 1 figure

References in corpus (2)

• Non-Abelian Anyons and Topological Quantum Computation
• Multi-channel Kondo Models in non-Abelian Quantum Hall Droplets

Cited by in corpus (8)

• Physical principles underlying the quantum Hall effect
• Spectral noise for edge states at filling factor $\nu =5/2$
• S3 Quantum Hall Wavefunctions
• Scaling dimension of quantum Hall quasiparticles from tunneling current noise measurements
• Tunnelling current through fractional quantum Hall interferometers
• Effective field theory and tunneling currents in the fractional quantum Hall effect
• Finite frequency noise spectroscopy for fractional Hall states at ν = 5/2
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations