Partition noise and statistics in the fractional quantum Hall effect
Mesoscale and Nanoscale Physics
2009-10-31 v5 Strongly Correlated Electrons
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 \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.
Keywords
Cite
@article{arxiv.cond-mat/0004244,
title = {Partition noise and statistics in the fractional quantum Hall effect},
author = {I. Safi and P. Devillard and T. Martin},
journal= {arXiv preprint arXiv:cond-mat/0004244},
year = {2009}
}
Comments
revised version, curve for time correlations at nu=1/3 added