Partition noise and statistics in the fractional quantum Hall effect

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 factors upsilon = 1/3, the real time noise correlator exhibits oscillations which persist over larger time scales than that of an uncorrelated Halt fluid. The zero frequency noise correlations are negative at filling factor 1/3 as for bare electrons (antibunching), but are strongly reduced in amplitude. These correlations become positive (bunching) for upsilon less than or equal to 1/5, suggesting a tendency towards bosonic behavior.