Pairing phase diagram of three holes in the generalized Hubbard model

Abstract

The pairing problem of a three electrons system has been studied by using a real-space method and the generalized Hubbard Hamiltonian. This method includes the correlated hopping interactions as an extension of the previously proposed mapping method, and 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 was solved in a non-perturbative way. In a linear chain, we analyzed the pairing phase diagram of three correlated holes for different values of the Hamiltonian parameters. For some values of the hopping parameters we obtain an analytical solution for all kind of interactions.