Kondo resonance in the case of strong Coulomb screening

There is a mechanism of the Coulomb screening of charging of a localized electronic state located inside a conductor, which was first discussed by G. Mahan, P. Nozieres and C. De Dominicis, and by K. D. Schotte and U. Schotte [1]. They demonstrated that the rate of a one-electron jump 1/Γ, (h̄ = 1) undergoes exponential renormalization due to both the reconstruction of the Fermi seas and the exchange effect. It was supposed later [2] that the same mechanism pertains to the magnetic impurity behavior. I will examine the effect on the properties of a magnetic impurity by calculating the zero temperature impurity resistivity ρ as a function of magnetic field H in two regimes of the impurity behavior. Suggestion of the existence of the two regimes is based on the Bethe Ansatz solution of the model of the resonant level in the spinless case [3]. It confirmed that for either a relatively weak Coulomb interaction or a wide enough conduction band the renorm-group approach extending the perturbation expansion in Γ brings correct results out. At the same time, in the case of a strong exchange effect ensuing from the strong Coulomb interaction the solution becomes non-perturbational in Γ for a level lying low inside the conduction band and predicts its fractional occupation. Following [2], the impurity with (2j + 1) degenerate localized magnetic state dm, m = −j, ...j could be specified by a generalized Anderson model with the Hamiltonian