Abstract
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≥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 (,V) parameter space; however, the resulting relation V() does not lead to unphysical parameters.
- Received 29 January 1992
DOI:https://doi.org/10.1103/PhysRevLett.68.2648
©1992 American Physical Society