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Aharonov-Bohm effect in the non-Abelian quantum Hall fluid

Lachezar S. Georgiev·Michael R. Geller
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Abstract

The nu=5/2 fractional quantum Hall effect state has attracted great interest recently, both as an arena to explore the physics of non-Abelian quasiparticle excitations, and as a possible architecture for topological quantum information processing. Here we use the conformal field theoretic description of the Moore-Read state to provide clear tunneling signatures of this state in an Aharonov-Bohm geometry. While not probing statistics directly, the measurements proposed here would provide a first, experimentally tractable step towards a full characterization of the 5/2 state.

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Lachezar S. Georgiev, Michael R. Geller. 2006-01-27. Aharonov-Bohm effect in the non-Abelian quantum Hall fluid. https://doi.org/10.1103/physrevb.73.205310

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