The shot-noise power in a disordered phase-coherent conductor, much longer than the mean free path but much shorter than an inelastic scattering length, is one-third of the classical value of a Poisson process. The reduction below the classical value is a consequence of noiseless open quantum channels. In conductors much longer than an inelasic length, shot noise is further suppressed due to counterbalancing voltage fluctuations which enforce charge neutrality.
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Beenakker et al. (1992) studied this question.
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