B. Davidovich et V. Zevin, MAGNETIC IMPURITY IN A METAL WITH CORRELATED CONDUCTION ELECTRONS - AN INFINITE-DIMENSIONS APPROACH, Physical review. B, Condensed matter, 57(13), 1998, pp. 7773-7784
We consider the Hubbard model with a magnetic Anderson impurity couple
d to a lattice site. In the case of infinite dimensions, one-particle
correlations of the impurity electron are described by the effective H
amiltonian of the two-impurity system. One of the impurities interacts
with a bath of free electrons and represents the Hubbard lattice, and
the other is coupled to the first impurity by the bare hybridization
interaction. A study of the effective two-impurity Hamiltonian in the
frame of the 1/N expansion and for the case of a weak conduction-elect
ron interaction (small U) reveals an enhancement of the usual exponent
ial Kondo scale. However, an intermediate interaction (U/D = 1 - 3), t
reated by the variational principle, leads to the loss of the exponent
ial scale. The Kondo temperature T-K of the effective two-impurity sys
tem is calculated as a function of the hybridization parameter, and it
is shown that T-K decreases with an increase of U. The nonexponential
scale of the Kondo effect in the intermediate regime at half-filling
is discussed.