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

Jens Koch, M. E. Raikh, Felix von Oppen

Published 2005-01-05, updated 2005-08-04Version 2

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.