Mesoscopic fluctuations in the Fermi-liquid regime of the Kondo problem

We consider the low temperature regime of the mesoscopic Kondo problem, and in particular the relevance of a Fermi-liquid description of this regime. Mesoscopic fluctuations of both the quasiparticle energy levels and the corresponding wavefunctions are large in this case. These mesoscopic fluctuations make the traditional approach to Fermi-liquids impracticable, as it assumes the existence of a limited number of relevant parameters. We show here how this difficulty can be overcome and discuss the relationship between the resulting Fermi-liquid description “à la Nozières” and the mean field slave fermion approximation. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2013