Impact of electron-phonon coupling on electron transport through T-shaped arrangements of quantum dots in the Kondo regime

TL;DR

This paper investigates how electron-phonon interactions affect electron transport and many-body phenomena like the Kondo effect in T-shaped quantum dot systems using an extended Anderson-Holstein model.

Contribution

It introduces a finite-U mean-field slave boson approach to analyze phonon effects on interference and correlations in strongly correlated quantum dot systems.

Findings

Phonons modify interference and correlation effects in quantum dot conductance.

Electron-phonon interactions can change the system's electron occupancy and effective interactions.

Different regimes exhibit distinct Fano-Kondo effects depending on phonon coupling and energy levels.

Abstract

We calculate the conductance through strongly correlated T-shaped molecular or quantum dot systems under the influence of phonons. The system is modelled by the extended Anderson-Holstein Hamiltonian. The finite-U mean-field slave boson approach is used to study many-body effects. Phonons influence both interference and correlations. Depending on the dot unperturbed energy and the strength of electron-phonon interaction the system is occupied by a different number of electrons which effectively interact with each other repulsively or attractively. This leads together with the interference effects to different spin or charge Fano-Kondo effects