A level coupled to a 1D interacting reservoir : A DMRG study
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.
Cite
@article{arxiv.cond-mat/0410471,
title = {A level coupled to a 1D interacting reservoir : A DMRG study},
author = {M. Sade and Y. Weiss and M. Goldstein and R. Berkovits},
journal= {arXiv preprint arXiv:cond-mat/0410471},
year = {2011}
}
Comments
4 pages, 4 figures