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

TL;DR

This paper analyzes the full counting statistics of charge transport through single molecules strongly coupled to vibrational modes, revealing a hierarchical avalanche pattern that results in highly non-Gaussian noise characteristics.

Contribution

It provides an analytical framework for understanding non-Ohmic transport in molecular systems, highlighting the hierarchical avalanche behavior and validating findings with numerical simulations.

Findings

Charge transport exhibits hierarchical avalanches.

Counting statistics are strongly non-Gaussian.

Numerical simulations confirm analytical results.

Abstract

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.