Quantum transport of composite fermions in narrow constrictions

TL;DR

This paper models ballistic charge transport of composite fermions in narrow quantum Hall constrictions, revealing how Coulomb interactions cause deviations from Luttinger liquid behavior, affecting conductance and noise.

Contribution

It introduces a single-mode description accounting for Coulomb interactions, showing their impact on transport properties in composite fermion systems.

Findings

Logarithmic deviations from Luttinger liquid behavior due to Coulomb interactions.

Modification of conductance and shot noise spectrum.

Enhanced understanding of quantum Hall edge transport in composite fermion liquids.

Abstract

We elaborate on a single-mode description of the ballistic charge transport through a narrow constriction in a compressible (composite fermion) Quantum Hall liquid. In the presence of long-range Coulomb interactions we find logarithmic deviations from the Luttinger liquid behavior. These extra logarithmic factors are shown to modify the conductance, shot noise spectrum, and other observables.