Effect of interactions on the noise of chiral Luttinger liquid systems

Abstract

We analyze the current noise, generated at a quantum point contact in fractional quantum Hall edge state devices, using the chiral Luttinger liquid model with an impurity and the associated exact field theoretic solution. We demonstrate that an experimentally relevant regime of parameters exists where the noise coincides with the partition noise of independent Laughlin quasiparticles. However, outside of this regime, this independent particle picture breaks down and the inclusion of interaction effects is essential to understand the shot noise.

arXiv comment4 pages, 3 figures; v2: modified FIG.1, new FIG.2

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• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Partitioning of Diluted Anyons Reveals their Braiding Statistics
• AC conductance and non-symmetrized noise at finite frequency in quantum wires and carbon nanotubes
• Why a noninteracting model works for shot noise in fractional charge experiments
• Statistics of charge transfer through impurities in strongly correlated 1D metals
• Tunneling current and current correlations for anyonic quasiparticles of ν = 1/2 chiral Luttinger liquid in multi-edge geometries
• Unexpected tunneling current from downstream neutral modes
• Tunneling current noise in the fractional quantum Hall effect: when the effective charge is not what it appears to be
• Effects of decoherence on the shot noise in carbon nanotubes