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An Exact Approach to the Diluted Hubbard Model

Published online by Cambridge University Press:  01 January 1992

Chumin Wang
Affiliation:
Instituto de Investigaciones en Materiales, U.N.A.M. Apartado Postal 70-360 , 04510 , México D.F. , MEXICO
O. Navarro
Affiliation:
Instituto de Investigaciones en Materiales, U.N.A.M. Apartado Postal 70-360 , 04510 , México D.F. , MEXICO
R. Oviedo-Roa
Affiliation:
Instituto de Investigaciones en Materiales, U.N.A.M. Apartado Postal 70-360 , 04510 , México D.F. , MEXICO
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Abstract

A new method to solve the extended Hubbard Hamiltonian for systems with few electrons is reported. This method is based on mapping the original many-body problem onto a tight-binding one in a higher dimensional space, which can be solved exactly. For one-and two-dimensional periodic lattices, the real-space pairing problem of two electrons with parallel and anti-parallel spins is analyzed by looking at the binding energy, the coherence length and the mobility of electron pairs. Likewise, some results of the three-body correlation are also reported.

Type
Research Article
Copyright
Copyright © Materials Research Society 1993

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References

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