A level coupled to a 1D interacting reservoir : A DMRG study

TL;DR

This study uses DMRG to analyze how interactions in a 1D reservoir coupled to a level affect the resonance width and level position, revealing opposing effects of reservoir and dot-lead interactions.

Contribution

It provides a detailed DMRG analysis of interaction effects in a coupled level-reservoir system, highlighting how interactions modify resonance properties.

Findings

Interactions in the reservoir decrease resonance width.

Dot-lead interactions increase resonance width.

Effects are explained via effective inverse compressibility and level renormalization.

Abstract

The influence of interactions in a reservoir coupled to a level on the width of the filling as a function of the chemical potential and the position of the level is studied. The density matrix renormalization group (DMRG) method is used to calculate the ground state of a finite-size interacting reservoir, linked to a single state dot. The influence of the interactions in the lead as well as dot-lead interactions is considered. It is found that interactions in the reservoir result in a decrease in the resonance width, while the dot-lead interaction has an opposite effect. These effects are explained within the random phase approximation as an effective change in the inverse compressibility of the reservoir, while the dot-lead interactions renormalize the position of the level.