Abstract
In the present paper, by applying the Lang-Firsov canonical transformation and the so-called noncrossing-approximation technique, we investigate the effect of the electron-phonon interaction on the transport of a quantum dot (QD) system in the Kondo regime. The numerical results show that the zero-frequency shot noise and Fano factor are always enhanced significantly due to the electron-phonon interaction. The well-known peak structure around the Kondo temperature in the S-V curve exhibits a probe of the electron-phonon coupling strength λ. In addition, the enhancement of the Fano factor due to the electron-phonon interaction is attributed to the reduction of the Kondo-enhanced density-of-state and transmission probability in a quantum dot. The results may be informative for future experimental measurements.