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We develop a conceptually simple scheme based on a master-equation approachto evaluate the full-counting statistics (FCS) of elastic and inelasticoff-resonant tunneling (cotunneling) in quantum dots (QDs) and molecules. Wedemonstrate the method by showing that it reproduces known results for the FCSand shot noise in the cotunneling regime. For a QD with an excited state, weobtain an analytic expression for the cumulant generating function (CGF) takinginto account elastic and inelastic cotunneling. From the CGF we find that theshot noise above the inelastic threshold in the cotunneling regime isinherently super-Poissonian when external relaxation is weak. Furthermore, acomplete picture of the shot noise across the different transport regimes isgiven. In the case where the excited state is a blocking state, stronglyenhanced shot noise is predicted both in the resonant and cotunneling regimes.

Full counting statistics and shot noise of cotunneling in quantum dots and single-molecule transistors