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

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 that effectively interact with each other repulsively or attractively. This leads, together with the interference effects, to different spin or charge Fano–Kondo effects.

Electron–phonon interaction and electronic correlations in transport through electrostatically and tunnel coupled quantum dots

“…Particularly attractive in this respect are molecular systems due to their softness. Among the hot topics studied is the impact of electron -phonon (e-ph) coupling on electron correlations [13][14][15][16][17][18][19]. A very useful method of experimental study of these subtle effects are the conductance measurements e.g.…”