Nonequilibrium charge transport in an interacting open system: two-particle resonance and current asymmetry

TL;DR

This paper investigates nonequilibrium electron transport through an interacting quantum dot, revealing a two-particle resonance and current asymmetry depending on lead direction, using exact and perturbative methods.

Contribution

It introduces a novel analysis of two-particle resonance phenomena and current asymmetry in interacting open quantum systems using scattering theory.

Findings

Identification of a two-particle resonance induced by interactions

Criteria for observing the resonance under small bias

Asymmetry in current depending on electron incident direction

Abstract

We use Lippman-Schwinger scattering theory to study nonequilibrium electron transport through an interacting open quantum dot. The two-particle current is evaluated exactly while we use perturbation theory to calculate the current when the leads are Fermi liquids at different chemical potentials. We find an interesting two-particle resonance induced by the interaction and obtain criteria to observe it when a small bias is applied across the dot. Finally, for a system without spatial inversion symmetry we find that the two-particle current is quite different depending on whether the electrons are incident from the left lead or the right lead.