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We present the exact solution of a one-dimensional model of a spin-gappedcorrelated electron system with hybridization impurities exhibiting bothmagnetic and mixed-valence properties. The host supports superconductingfluctuations, with a spin gap. The localized electrons create a band ofantiferromagnetic spin excitations inside the gap for concentrations x of theimpurities below some critical value x_c. When x = x_c the spin gap closes anda ferrimagnetic phase appears. This is the first example of an exactly solvablemodel with coexisting superconducting and antiferromagnetic fluctuations whichin addition supports a quantum phase transition to a (compensated)ferrimagnetic phase. We discuss the possible relevance of our results forexperimental systems, in particular the U-based heavy-fermion materials.Comment: 4 page

Superconductivity and antiferromagnetism: Hybridization impurities in a two-band spin-gapped electron system