Full counting statistics for the Kondo dot

Abstract

The generating function for the cumulants of charge current distribution is calculated for two generalised Majorana resonant level models: the Kondo dot at the Toulouse point and the resonant level embedded in a Luttinger liquid with the interaction parameter $g=1/2$. We find that the low--temperature non-equilibrium transport in the Kondo case occurs via tunnelling of physical electrons as well as by coherent transmission of electron pairs. We calculate the third cumulant (`skewness') explicitly and analyse it for different couplings, temperatures, and magnetic fields. For the $g=1/2$ set-up the statistics simplifies and is given by a modified version of the Levitov--Lesovik formula.