Hole-hole effective interaction in the 2-D Hubbard model

We present the first exact results of the ground-state energy in the two-dimensional Hubbard model on a 4\ifmmode\times\else\texttimes\fi{}4 cluster for several values of U and fillings. The behavior of the binding energy of two holes as a function of U is discussed together with some analytical results in limiting cases. The analysis of the hole-hole correlation function allows one to determine the range of values of U where binding might be seen.

Physical review. B, Condensed matterOct 1, 199079 citations

Hole-hole effective interaction in the 2-D Hubbard model

G. Fano, F. Ortolani, Alberto Parola

Published Jul 9, 1990• 0 citations

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Hole-hole effective interaction in the two-dimensional Hubbard model

G. Fano, F. Ortolani, Alberto Parola

Physical review. B, Condensed matterOct 1, 199079 citations

^{1}B_{2}

% ^{1}A_{2}

Irreducible Representations of the C

_{4v}

Group, the bare holes do not interact by the on-site repulsion; the effective interaction between the dressed holes is obtained analytically in terms of renormalized matrix elements, and generalizes earlier findings from cluster calculations. The Fermi liquid is unstable and numerical estimates with reasonable parameters of the binding energy of the pair are in the range of tens of meV. Our scheme naturally lends itself to embody phonon-mediated and other interactions which cannot occur in the Hubbard model but may give important contributions.