Partition noise and statistics in the fractional quantum Hall effect

Details Partition noise and statistics in the fractional quantum Hall effect Partition noise and statistics in the fractional quantum Hall effect

2000-04-14

arxiv.org/abs/cond-mat/0004244v5

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevLett.86.4628

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 \nu=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 \nu\leq 1/5, suggesting a tendency towards bosonic behavior.

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