Abstract

VALLEJO, E.; NAVARRO, O.  and  ESPINOSA, J.E.. Two-particle correlations in the one-dimensional Hubbard model: a ground-state analytical solution. Rev. mex. fis. [online]. 2003, vol.49, n.3, pp.207-211. ISSN 0035-001X.

A solution to the extended Hubbard Hamiltonian for the case of two-particles in an infinite one-dimensional lattice is presented, using a real-space mapping method and the Green function technique. This Hamiltonian considers the on-site (U) and the nearest-neighbor (V) interactions. The method is based on mapping the correlated many-body problem onto an equivalent site-impurity tight-binding one in a higher dimensional space. In this new space we obtained the analytical solution for the ground state binding energy. Results are in agreement with the numerical solution obtained previously [1], and with those obtained in the reciprocal space [2].

Keywords : Hubbard model; fermions in reduced dimensions; strongly correlated electron systems.

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