A solvable Anderson lattice model is formulated. The exact eigenstates of model Hamiltonian are constructed by using the Bethe ansatz. The Bethe ansatz equations are obtained from the periodic boundary conditions.
Exact solutions of the Hubbard model and the periodic Anderson model in the limit of infinite interaction strength are presented. Both models are studied on a D-dimensional decorated hypercubic lattice with periodic boundary conditions for any dimension D\ensuremath{\ge}2 and arbitrary size. The lattice is very similar to the perovskite lattice. In addition to the ground-state energy, a corresponding eigenstate is constructed. This ground state contains at least two particles per unit cell. For the Anderson model, the exact solution is restricted to a surface in the (Ef,V) parameter space; however, the resulting relation V(Ef) does not lead to unphysical parameters.