Excitation Spectra of the Two Impurity Anderson Model. II. Interplay between the Kondo Effect and the Inter Site Interactions

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Abstract
Excitation spectra of the two impurity Anderson model are calculated for various parameter regions of the f-f transfer, t , c-f hybridization and the exchange coupling between local spins. The parity dependent potential scattering suppresses the critical transition pointed out by Jones et al. In the case of small t , the parity splitting of the f-level is given by t / Z , where Z is the enhancement factor of the specific heat in the single impurity problem. In the case of large t , γ of the electronic specific heat decreases drastically and the parity splitting increases largely. The splitting remains to be order of t / Z if the induced kinetic exchange coupling is compensated by other mechanism. The fluctuation of the singlet non-uniform superconductivity is relatively large in the electron-hole asymmetric case, but its intensity is about 1/10 of the antiferromagnetic one.