Full Counting Statistics for the Kondo Dot in the Unitary Limit

We calculate the charge transfer probability distribution function χ(λ) for the Kondo dot in the strong-coupling limit within the framework of the Nozi\`eres-Fermi-liquid theory of the Kondo effect. At zero temperature, the ratio of the moments Cₙ of the charge distribution to the backscattering current Ibs follows a universal law Cₙ/2Ibs=(-1)ⁿ(1+2ⁿ)/6. The functional form of χ(λ) is consistent with tunneling of electrons and, possibly, electron pairs. We then discuss the crossover behavior of χ(λ) from weak to strong Coulomb repulsion in the underlying Anderson impurity model and relate this to the existing results. Finally, we extend our analysis to the case of finite temperatures.