Abstract

We consider a double junction system in the Coulomb blockade regime with an island with discrete energy levels and analyze the effect of electromagnetic fluctuations on elastic cotunneling. We obtain the analytic expression for the elastic cotunneling current at zero temperature, which shows the power-law suppression of cotunneling at low voltages due to circuit impedance $I\ensuremath{\sim}{V}^{1+2\text{ }\text{Re}\text{ }Z(0)/{R}_{K}}$. The results will be useful for calculating the accuracy of single-electron devices used in metrology.

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