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Three-Body Correlation in the Diluted Generalized Hubbard Model

Published online by Cambridge University Press:  10 February 2011

O. Navarro and
M. Avignon
O. Navarro
Affiliation:
Instituto de Investigaciones en Materiales, U.N.A.M., Apartado Postal 70–360, 01510, Mexico D.F., MEXICO.
M. Avignon
Affiliation:
Laboratoire d'Etudes des Propiétés Electroniques des Solides, C.N.R.S., Boîte Postale 166, 38042 Grenoble Cedex 9, FRANCE.
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Abstract

A real-space method has been used to solve the generalized Hubbard Hamiltonian for a system with few electrons. The method is based on mapping the correlated many-body problem onto an equivalent tight-binding one in a higher dimensional space. For a linear chain, we have obtained an exact solution of the problem of three non-parallel electrons. The three-body correlation are studied by examining the binding energy in the ground state, for different values of the hopping parameters and of the on-site (U) and nearest-neighbor (V) interactions.

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References

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