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The Hubbard model with an additional bond-charge interaction X is solved exactly in one dimension for the case t=X, where t is the hopping amplitude. In this case the number of doubly occupied sites is conserved. In the sector with no double occupations the model reduces to the U= Hubbard model. In arbitrary dimensions the qualitative form of the phase diagram is obtained. It is shown that for moderate Hubbard interactions U the model has superconducting ground states.
Andreas Schadschneider (Sat,) studied this question.
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