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Correlation between Lanczos Method and Exact Diagonalisation Method in the Study of Highly Correlated Electrons System

Abstract

Michael Obende, Okanigbuan OR and Kolebaje Olusola

The ground state energy and wave function of the single band hubbard model on the one dimensional lattice is computed using the Lanczos methods. It is shown that the ground state energies obtained for different values of the interaction strength it, compare nicely with that obtained using the method of exact calculation.

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