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Partition noise and statistics in the fractional quantum Hall effect

I. Safi·P. Devillard·T. Martin
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Abstract

A microscopic theory of current partition in fractional quantum Hall liquids, described by chiral Luttinger liquids, is developed to compute the noise correlations, using the Keldysh technique. In this Hanbury-Brown and Twiss geometry, at Laughlin filling factor ν=1/3, the real time noise correlator exhibits oscillations which persist over larger time scales than that of an uncorrelated Hall fluid. The zero frequency noise correlations are negative at filling factor 1/3 as for bare electrons (anti-bunching), but are strongly reduced in amplitude. These correlations become positive (bunching) for ν\leq 1/5, suggesting a tendency towards bosonic behavior.

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I. Safi, P. Devillard, T. Martin. 2001-03-13. Partition noise and statistics in the fractional quantum Hall effect. https://doi.org/10.1103/physrevlett.86.4628

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