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The problem of resonant transport of strongly interacting electrons through aone-dimensional single-level vibrating quantum dot is being considered. In thispaper, we generalize the Komnik and Gogolin model [Phys. Rev. Lett., 90,246403, (2003)] for the single-electron transistor with g=1/2 Luttinger liquidleads to the case of a strong electron-vibron interaction in a quantum dot. Theeffective transmission coefficient and differential conductance of the systemhas been derived for the general case of asymmetric tunnel barriers. The mainresult obtained is that, in the zero-temperature limit, the resonantpolaron-assisted tunneling with perfect transmission is possible. This resonanttunneling is of the novel (Andreev-like) type due to a specialelectron-electron interaction in the leads. As a result, a strong domination ofresonant polaron-assisted electron transport at low temperatures has beenfound. Additional narrowing due to electron-electron interaction in the leads,is roughly the same for all polaron-assisted resonances.

Resonant polaron-assisted tunneling of strongly interacting electrons through a single-level vibrating quantum dot