Abstract
The binding problem is studied within the generalized Hubbard Hamiltonian by using a real-space method. This method is an extension of the previously proposed mapping method for the simple Hubbard model in order to include the bond–charge interaction term. The generalization of the method is based on mapping the correlated many-body problem onto an equivalent site- and bond-impurity tight-binding one in a higher dimensional space, where the problem can be solved exactly. The three particles correlation in a linear chain has been analyzed by calculating the binding energy using different values of the bond–charge, the on-site ( U) and the nearest-neighbor ( V) interactions. A bound state asymmetry between electrons and holes was found for bond–charge interactions. Also, an analytical solution is obtained for some special values of the hopping parameters and for all kind of interactions in the Hubbard Hamiltonian.
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