Current noise of the interacting resonant level model

TL;DR

This paper investigates the zero-frequency current noise in the interacting resonant level model across various bias voltages using a functional renormalization group approach, revealing universal decay and effective charge behavior.

Contribution

It extends the nonequilibrium FRG scheme by deriving flow equations for current-vertex functions, removing divergences, and providing a comprehensive analysis of current noise and effective charge.

Findings

Current noise shows universal power-law decay at high bias voltages.

Effective charge on resonance is only affected at second order in interaction.

Artificial divergences are consistently removed in the extended FRG approach.

Abstract

We study the zero-frequency current noise of the interacting resonant level model for arbitrary bias voltages using a functional renormalization group approach. For this we extend the existing nonequilibrium scheme by deriving and solving flow equations for the current-vertex functions. On-resonance artificial divergences of the latter found in lowest-order perturbation theory in the two-particle interaction are consistently removed. Away from resonance they are shifted to higher orders. This allows us to gain a comprehensive picture of the current noise in the scaling limit. At high bias voltages, the current noise exhibits a universal power-law decay, whose exponent is to leading order in the interaction identical to that of the current. The effective charge on resonance is analyzed in detail employing properties of the vertex correction. We find that it is only modified to second or higher order in the two-particle interaction.