Full counting statistics of strongly non-Ohmic transport through single molecules

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We study analytically the full counting statistics of charge transport through single molecules, strongly coupled to a weakly damped vibrational mode. The specifics of transport in this regime - a hierarchical sequence of avalanches of transferred charges, interrupted by "quiet" periods - make the counting statistics strongly non-Gaussian. We support our findings for the counting statistics as well as for the frequency-dependent noise power by numerical simulations, finding excellent agreement.
4+ pages, 2 figures; minor changes, version published in Phys. Rev. Lett

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