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Effective-field theories for the nu=5/2 quantum Hall edge state

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Article number233302
<mark>Journal publication date</mark>12/2009
<mark>Journal</mark>Physical review b
Issue number23
Number of pages4
Pages (from-to)-
<mark>Original language</mark>English


The quantum Hall state at the filling fraction nu=5/2 is the leading candidate to be a physical system supporting excitations with non-Abelian braid statistics. While a direct experimental evidence for the latter is still absent, recent experiments by Radu [I. P. Radu, J. B. Miller, C. M. Marcus, M. A. Kastner, L. N. Pfeiffer, and K. W. West, Science 320, 899 (2008)] yielded results favoring some previously proposed non-Abelian theories over Abelian ones. Here, we systematically investigate candidate theories of the quantum Hall edge at the filling fraction nu=5/2. We find a set of candidate theories, both Abelian and non-Abelian, which are equally consistent with the experimental data and cannot therefore be distinguished in the quasihole tunneling experiment only. We discuss what experimental information may be useful in resolving the ambiguity.

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© 2009 The American Physical Society