Exact solution of a four-site crystal model for an intermediate-valence system

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Abstract
An exact solution of a four-site tetrahedral crystal model, the smallest face-centred cubic crystal, is presented for the case of an intermediate-valence system. The model consists of : (a) one extended and one localized orbitals per atom ; (b) an interatomic transfer term between the extended orbitals ; (c) an interatomic hybridization term between extended and localized orbitals; and (d) a strong intraatomic Coulomb repulsion between opposite-spin localized states. Many-body eigenstates and eigenvalues of the Hamiltonian are calculated exactly with the aid of the symmetry of the crystal for the case of one electron per atom, which corresponds to metallic cerium

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