Nigerian Journal of Physics

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Electron correlation in a three dimensional cluster of the cubic lattice

Edison A Enaibe, John OA Idiodi


We study the one-band Hubbard model in a three dimensional simple cubic lattice, with periodic boundary conditions, by means of a variational analytic approach. Ground state energies and pairing correlations depend implicitly on the interaction strength (U/41). It is shown that for two electrons, the interaction is always repulsive in the ground state for any positive value of the on-site Coulomb interaction U. Implications of this result for superconductivity are also discussed.

Nigerian Journal of Physics Vol. 16(2) 2004: 167-171
AJOL African Journals Online