Perturbative treatment of the multichannel interacting resonant level model in steady state non-equilibrium

TL;DR

This paper investigates the steady state non-equilibrium behavior of the multichannel interacting resonant level model in the weak coupling regime, revealing how negative differential conductance arises from vertex renormalization.

Contribution

It introduces a perturbative approach using the scattering state method to analyze the model's non-equilibrium steady state.

Findings

Negative differential conductance occurs at high voltages.

Renormalization of hopping amplitude explains conductance behavior.

Agreement with rate equations confirms the approach.

Abstract

We consider the steady state non-equilibrium physics of the multichannel interacting resonant level model in the weak coupling regime. By using the scattering state method we show in agreement with the rate equations that the negative differential conductance at large enough voltages is due to the renormalization of the hopping amplitude thus of the vertex.