Shot noise in the interacting resonance level model

TL;DR

This paper investigates shot noise and the Fano factor in a spinless resonant level model with Coulomb interaction, using renormalization group and bosonization techniques to analyze behavior across interaction regimes.

Contribution

It introduces a first-order approximation for Coulomb interactions and demonstrates the relevance of renormalization group and bosonization methods in analyzing shot noise.

Findings

Logarithmic divergences are removed by renormalization group analysis.

Keldysh technique effectively describes perturbation results.

Strong interactions lead to irrelevant tunneling, reducing conductance.

Abstract

The shot noise power and the Fano factor of a spinless resonant level model is calculated. The Coulomb interaction which in this model acts between the lead electron and the impurity is considered in the first order approximation. The logarithmic divergencies which appeared in the expressions for shot noise and the transport current are removed by renormalization group analysis. It is shown that Keldysh technique gives an adequate description of perturbation theory results. By passing to the bosonized form of the resonance model it is proven that in the strong interaction limit the tunnelling becomes irrelevant and decreases.