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We present a hierarchical quantum master equation (HQME) approach, whichallows the numerically exact evaluation of higher-order current cumulants inthe framework of full counting statistics for nonequilibrium charge transportin nanosystems. The novel methodology is exemplarily applied to a model ofvibrationally coupled electron transport in a molecular nanojunction. Weinvestigate the influence of cotunneling on avalanche-like transport, inparticular in the nonresonant transport regime, where we find that inelasticcotunneling acts as trigger process for resonant avalanches. In this regime, wealso demonstrate that the correction to the elastic noise upon opening of theinelastic transport channel is strongly affected by the nonequilibriumexcitation of the vibration as well as the polaron shift.

Hierarchical quantum master equation approach to current fluctuations in nonequilibrium charge transport through nanosystems