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Full counting statistics for the Kondo dot

A. Komnik·A. O. Gogolin
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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.

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A. Komnik, A. O. Gogolin. 2005-02-18. Full counting statistics for the Kondo dot. https://doi.org/10.1103/physrevlett.94.216601

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