Non-perturbative ground-state of a generalized Hubbard model

A generalized Hubbard model with on-site interactionU, inter-site interactionV, and general correlated hopping is studied using a mapping method. An exact solution of the problem of one hole and one doublyoccupied site moving in a ferromagnetic spin background is obtained. The mapping method used is based on mapping the original many-body problem onto an equivalent tight-binding one with impurities in a higher dimensional space.