Non-Abelian statistics in the interference noise of the Moore-Read quantum Hall state

Details Non-Abelian statistics in the interference noise of the Moore-Read quantum Hall state Non-Abelian statistics in the interference noise of the Moore-Read quantum Hall state

2007-05-21

arxiv.org/abs/0705.2902v2

J. Stat. Mech. (2008) L04001

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures v2: typo's corrected, discussions clarified, references added

Scientific paper

10.1088/1742-5468/2008/04/L04001

We propose noise oscillation measurements in a double point contact, accessible with current technology, to seek for a signature of the non-abelian nature of the \nu=5/2 quantum Hall state. Calculating the voltage and temperature dependence of the current and noise oscillations, we predict the non-abelian nature to materialize through a multiplicity of the possible outcomes: two qualitatively different frequency dependences of the nonzero interference noise. Comparison between our predictions for the Moore-Read state with experiments on \nu=5/2 will serve as a much needed test for the nature of the \nu=5/2 quantum Hall state.

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