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A particle-hole symmetric Anderson impurity model with a metallic host ofnarrow bandwidth is studied within the framework of the local moment approach.The resultant single-particle spectra are compared to unrestrictedHartree-Fock, second order perturbation theory about the noninteracting limit,and Lanczos spectra by Hofstetter and Kehrein. Rather accurate analyticalresults explain the spectral evolution over almost the entire range ofinteractions. These encompass, in particular, a rationale for the four-peakstructure observed in the low-energy sector of the Lanczos spectra in themoderate-coupling regime. In weak coupling, the spectral evolution is governedby orbital effects, while in the strong coupling Kondo limit, the model isshown to connect smoothly to the generic Anderson impurity with a flat andinfinitely wide hybridization band.

The Anderson impurity model with a narrow-band host: from orbital physics to the Kondo effect