Anomalous Chiral Luttinger Liquid Behavior of Diluted Fractionally Charged Quasiparticles

TL;DR

This paper investigates the transition from correlated to independent behavior of fractional quasiparticles in edge states, revealing how dilution and temperature affect their chiral Luttinger liquid properties through conductance and shot noise measurements.

Contribution

It demonstrates the crossover from correlated to independent quasiparticle behavior in a chiral Luttinger liquid by varying beam dilution and temperature.

Findings

Correlated quasiparticle scattering produces non-linear conductance and non-classical shot noise.

Dilution or increased temperature leads to classical shot noise, indicating independent quasiparticle scattering.

The study reveals a crossover from collective to independent behavior in fractional quasiparticles.

Abstract

Fractionally charged quasiparticles in edge states, are expected to condense to a chiral Luttinger liquid (CLL). We studied their condensation by measuring the conductance and shot noise due to an artificial backscatterer embedded in their path. At sufficiently low temperatures backscattering events were found to be strongly correlated, producing a highly non-linear current-voltage characteristic and a non-classical shot noise - both are expected in a CLL. When, however, the impinging beam of quasiparticles was made dilute, either artificially via an additional weak backscatterer or by increasing the temperature, the resultant outgoing noise was classical, indicating the scattering of independent quasiparticles. Here, we study in some detail this surprising crossover from correlated particle behavior to an independent behavior, as function of beam dilution.