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We have studied the effect of including nearest-neighbor, electron-electroninteractions, in particular the off-diagonal (non density-density) terms, onthe spectra of truncated tetrahedral and icosahedral ``Hubbard molecules,''focusing on the relevance of these systems to the physics of doped C$_{60}$.Our perturbation theoretic and exact diagonalization results agree withprevious work in that the density-density term suppresses pair-binding.However, we find that for the parameter values of interest for $C_{60}$ theoff-diagonal terms {\em enhance} pair-binding, though not enough to offset thesuppression due to the density-density term. We also find that the criticalinteraction strengths for the Hund's rules violating level crossings inC$_{60}^{-2}$, C$_{60}^{-3}$ and C$_{60}^{-4}$ are quite insensitive to theinclusion of these additional interactions.Comment: 20p + 5figs, Revtex 3.0, UIUC preprint P-94-10-08

physical review. b, condensed matter

Off-diagonal interactions, Hund’s rules, and pair binding in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mn>60</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>

Off-diagonal interactions, Hund’s rules, and pair binding inC60