Resonance in an open quantum dot system with a Coulomb interaction: a Bethe-ansatz approach

TL;DR

This paper investigates resonance phenomena in an open quantum dot system with Coulomb interaction using the Bethe-ansatz method, providing exact calculations of electric current and revealing many-body scattering effects.

Contribution

It introduces an exact Bethe-ansatz approach to analyze resonance and current in an interacting quantum dot system connected to non-interacting leads.

Findings

Resonance peaks are observed in the electric current due to many-body scattering.

Exact expectation values of current are calculated for the first time in this setup.

The approach clarifies the role of Coulomb interaction in quantum dot transport phenomena.

Abstract

An open quantum system consisting of a quantum dot with a Coulomb interaction and two leads without interactions is studied. The many-body scattering states are constructed with the Bethe-ansatz approach. The expectation value of the electric current is exactly calculated for the scattering states to observe resonance peaks due to many-body scattering.