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The finite voltage conductance of an ultrasmall single tunnel junction of nominal resistance R₀ is calculated within a model that includes quantum voltage fluctuations. Fluctuations are induced by charge transfer across the junction as well as by coupling to its electromagnetic environment via a transmission line of arbitrary impedance Z({ω}). Both types of quantum fluctuations suppress the Coulomb blockade. Within a harmonic approximation we show that for a general frequency-dependent transmission-line impedance the impedances simply add in parallel. The low-frequency fluctuations are given by an effective coupling constant γₜₒₜ=RH/2Zₜₒₜ, where Zₜₒₜ^-1=Z(0)^-1+R₀^-1 and RH=h/e² is the quantum of resistance.
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Flensberg et al. (1991) studied this question.
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