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

Ardonne, Eddy and Kim, Eun-Ah (2008) Non-abelian statistics in the interference noise of the Moore–Read quantum Hall state. Journal of Statistical Mechanics: Theory and Experiment, 2008 (04). Art. No. L04001. ISSN 1742-5468. http://resolver.caltech.edu/CaltechAUTHORS:ARDjstme08

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Abstract

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 ν = 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 ν = 5/2 will serve as a much needed test for the nature of the ν = 5/2 quantum Hall state.


Item Type:Article
Additional Information:© 2008 IOP Publishing Ltd and SISSA. Received 14 February 2008, accepted for publication 10 March 2008. Published 8 April 2008. We thank P Bonderson, C Chamon, SB Chung, L Fidkowski, E Fradkin, M Freedman, C Nayak, S Shenkar, J Slingerland, K Shtengel, Z Wang for illuminating discussions. EAK was supported by the Stanford Institute for Theoretical Physics and in part by the Microsoft Station Q.
Subject Keywords:fractional QHE (theory)
Issue or Number:04
Record Number:CaltechAUTHORS:ARDjstme08
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:ARDjstme08
Alternative URL:http://dx.doi.org/10.1088/1742-5468/2008/04/L04001
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10095
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:11 Apr 2008
Last Modified:26 Dec 2012 09:56

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