HUBBARD AND ANDERSON MODELS ON PEROVSKITE-LIKE LATTICES - EXACTLY SOLVABLE CASES

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 greater-than-or-equal-to 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 (E(f),V) parameter space; however, the resulting relation V(E(f)) does not lead to unphysical parameters.