Signatures of fractional statistics in noise experiments in quantum Hall fluids

Details Signatures of fractional statistics in noise experiments in quantum Hall fluids Signatures of fractional statistics in noise experiments in quantum Hall fluids

2005-07-18

arxiv.org/abs/cond-mat/0507428v2

Phys. Rev. Lett. 95, 176402 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages 1 table, 3 figures; edited manuscript; some references added

Scientific paper

10.1103/PhysRevLett.95.176402

The elementary excitations of fractional quantum Hall (FQH) fluids are vortices with fractional statistics. Yet, this fundamental prediction has remained an open experimental challenge. Here we show that the cross current noise in a three-terminal tunneling experiment of a two dimensional electron gas in the FQH regime can be used to detect directly the statistical angle of the excitations of these topological quantum fluids. We show that the noise also reveals signatures of exclusion statistics and of fractional charge. The vortices of Laughlin states should exhibit a ``bunching'' effect, while for higher states in the Jain sequences they should exhibit an ``anti-bunching'' effect.

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