Partition noise and statistics in the fractional quantum Hall effect

I. Safi (1, 2) , Pierre Devillard (1, 2) , T. Martin (1, 2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332

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.

Domaines: Autre [cond-mat.other]

I. Safi, Pierre Devillard, T. Martin. Partition noise and statistics in the fractional quantum Hall effect. Physical Review Letters, 2001, 86, pp.4628-4631. ⟨hal-00110845⟩