Phonon-assisted thermoelectric effects in strongly interacting quantum dot

The joint effects of the electron-phonon interaction and Kondo effect on the charge and heat transport through a single molecule transistor are investigated by applying the improved canonical transformation and noncrossing approximation technique. We find that the electron-phonon interaction decreases the conductance, thermopower and the Wiedemann-Franz law in the Kondo regime due to the splitting and the decreasing of the main Kondo peak. However, the thermoelectric figure of merit achieves enhancement with the electron-phonon coupling strength increasing. In addition, the dip value of the thermopower at the Kondo temperature for the different electron-phonon coupling strength can give a straightforward reliable estimate of the electron-phonon coupling strength.