We study coherent transport through a double quantum dot. Its two electronicleads induce electronic matter and energy transport and a phonon reservoircontributes further energy exchanges. By treating the system-lead couplingsperturbatively, whereas the coupling to vibrations is treatednon-perturbatively in a polaron-transformed frame, we derive a thermodynamicconsistent low-dimensional master equation. When the number of phonon modes isfinite, a Markovian description is only possible when these couplesymmetrically to both quantum dots. For a continuum of phonon modes however,also asymmetric couplings can be described with a Markovian master equation. Wecompute the electronic current and dephasing rate. The electronic currentenables transport spectroscopy of the phonon frequency and displays signaturesof Franck-Condon blockade. For infinite external bias but finite tunnelingbandwidths, we find oscillations in the current as a function of the internalbias due to the electron-phonon coupling. Furthermore, we derive the fullfluctuation theorem and show its identity to the entropy production in thesystem.
展开▼
