The generalized Hubbard model: A solution for the binding of three particles in a linear chain
Por:
Navarro O., Espinosa J.E., Suárez J.R., Avignon M.
Publicada:
1 ene 2001
Resumen:
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. © 2001 Elsevier Science B.V. All rights reserved.
Filiaciones:
Navarro O.:
Instituto de Investigaciones en Materiales, UNAM, AP 70-360, 04510 México, DF, Mexico
Espinosa J.E.:
Facultad de Cs. Fís.-Mat., Posgrado en Optoelectrónica, BUAP, 72570 Puebla Pue., Mexico
Suárez J.R.:
Facultad de Cs. Fís.-Mat., Posgrado en Optoelectrónica, BUAP, 72570 Puebla Pue., Mexico
Avignon M.:
LEPES-CNRS, BP 166, 38042 Grenoble Cedex 9, France
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