Mixed-valence impurity in a nanoscale particle

We consider a mixed-valence Anderson impurity with infinite U embedded into a small metallic particle. The nanosize of the system leads to discrete energy levels rather than to a continuum of energy eigenstates for the host. Using the Brillouin-Wigner approximation we show that the magnetic susceptibility, which arises from the van Vleck admixing of the magnetic configuration into the ground state, is only weakly affected by the finite spacing of energy levels, while the specific heat and the entropy display an exponential activation at low temperatures, that is have properties deviating from a Fermi liquid.