Shot noise of a quantum dot with non-Fermi liquid correlations

TL;DR

This paper investigates the shot noise in a quantum dot modeled as a one-dimensional wire with barriers, revealing how Coulomb blockade and Luttinger liquid correlations influence noise characteristics and enable parameter extraction.

Contribution

It provides a detailed analysis of shot noise behavior in a quantum dot with non-Fermi liquid correlations, highlighting the impact of interactions on noise and Fano factor.

Findings

Fano factor reaches 1/2 at small bias regardless of resistance ratio

Noise features are power-law renormalized by interaction strength at higher voltages

Measurement of noise can be used to determine the Luttinger liquid parameter

Abstract

The shot noise of a one-dimensional wire interrupted by two barriers shows interesting features related to the interplay between Coulomb blockade effects, Luttinger correlations and discrete excitations. At small bias the Fano factor reaches the lowest attainable value, 1/2, irrespective of the ratio of the two junction resistances. At larger voltages this asymmetry is power-law renormalized by the interaction strength. We discuss how the measurement of current and these features of the noise allow to extract the Luttinger liquid parameter.