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

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.71.153301

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.

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