Partition noise and statistics in the fractional quantum Hall effect

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.

revised version, curve for time correlations at nu=1/3 added

References in corpus (3)

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• Conductance and Shot Noise for Particles with Exclusion Statistics
• Colored noise in the fractional Hall effect: duality relations and exact results

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