Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State

Details Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State

2007-07-26

arxiv.org/abs/0707.3995v3

Phys. Rev. B 77, 205310 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 6 figures

Scientific paper

10.1103/PhysRevB.77.205310

The tunneling current and shot noise of the current between two Fractional Quantum Hall (FQH) edges in the $ \nu=12/5 $ FQH state in electronic Mach-Zehnder interferometer are studied. It is shown that the tunneling current and shot noise can be used to probe the existence of $k=3 $ parafermion statistics in the $ \nu=12/5 $ FQH state. More specifically, the dependence of the current on the Aharonov-Bohm flux in the Read-Rezayi state is asymmetric under the change of the sign of the applied voltage. This property is absent in the Abelian Laughlin states. Moreover the Fano factor can exceed 12.7 electron charges in the $ \nu=12/5 $ FQH state . This number well exceeds the maximum possible Fano factor in all Laughlin states and the $ \nu=5/2 $ Moore-Read state which was shown previously to be $ e $ and $ 3.2 e $ respectively.

Affiliated with

Also associated with

No associations

Rating

Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probing Non-Abelian Statistics in nu=12/5 Quantum Hall State will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-41178