  In this work, a new theoretical approach to study the non-equilibrium
transport properties of nanoscale systems coupled to metallic electrodes with
strong electron-phonon interactions is presented. The proposed approach
consists in a resummation of the dominant Feynman diagrams from the exact
preturbative expansion. This scheme is compared with methods that can be found
in the literature. It shows a good agreement with these methods in the range
where they are known to provide good results, for a wide range of parameters.
Also, it is compared with path-integral Monte Carlo calculations giving a
relatively good agreement for polaronic and non polaronic regimes. Some
preliminary results for the current noise obtained with our method are
presented.

Mesoscale and Nanoscale Physics