Full counting statistics for the Kondo dot in the unitary limit

Details Full counting statistics for the Kondo dot in the unitary limit Full counting statistics for the Kondo dot in the unitary limit

2006-04-11

arxiv.org/abs/cond-mat/0604287v1

Phys. Rev. Lett. 97, 016602 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 1 eps figure

Scientific paper

10.1103/PhysRevLett.97.016602

We calculate the charge transfer probability distribution function $\chi(\lambda)$ for the Kondo dot in the strong coupling limit within the framework of the Nozi\`{e}res--Fermi--liquid theory of the Kondo effect. At zero temperature, the ratio of the moments $C_n$ of the charge distribution to the backscattering current $I_{{\rm bs}}$ follows a universal law $C_n/2I_{{\rm bs}}=(-1)^n(1+2^n)/6$. The functional form of $\chi(\lambda)$ is consistent with tunnelling of electrons and, possibly, electron pairs. We then discuss the cross-over behaviour of $\chi(\lambda)$ 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.

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