M. Landgraf et Jw. Rasul, 1 N CORRECTIONS TO THE BINDING-ENERGY OF AN ANDERSON MODEL FLUCTUATING BETWEEN 2 MAGNETIC CONFIGURATIONS/, Journal of physics. Condensed matter, 6(1), 1994, pp. 203-222
We investigate the binding energy separation between the many-body gro
und-state singlet and higher-lying magnetic states for the f1-f2 Ander
son model to next-leading order in the 1/N expansion, where N denotes
the orbital degeneracy of the f states. We formulate integral equation
s for the magnetic-state amplitudes that appear at next-leading order
in 1/N and solve these, together with the integral equations that desc
ribe the singlet, numerically. We find that the total separation betwe
en magnetic and singlet states is small, even in the valence-fluctuati
on regime, and hence demonstrate the robustness of the leading-order r
esult. We find that the maximum binding-energy separation is shifted t
owards higher valence, in contradiction to results of the minimal-dege
neracy model. We also present results for the valence and charge susce
ptibility.