DISTRIBUTION OF TRANSMITTED CHARGE THROUGH A DOUBLE-BARRIER JUNCTION

The distribution function of transmitted charge through a double-barri er junction is studied at zero temperature and at small applied voltag e. Both a semiclassical model, in which the transport is described by jump rates, and a quantum-mechanical model, which averages over resona nt and nonresonant states, are used to determine the characteristic Fu nction of the transmitted electrons. It is demonstrated that for large times the logarithm of the characteristic function is equal within th e two approaches. The charge distribution is in between a Gaussian and a Poisson distribution if both barriers have equal height and reduces io a Poisson distribution if one barrier is much higher than the othe r.