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The infinite-U three-band Hubbard model is considered in order to describethe CuO_2 planes of the high temperature superconducting cuprates. The chargeinstabilities are investigated when the model is extended with anearest-neighbor repulsion between holes on copper d and oxygen p orbitals andin the presence of a long-range Coulombic repulsion. It is found that afirst-order valence instability line ending with a critical point is presentlike in the previously investigated model without long-range forces. However,the dominant critical instability is the formation of incommensuratecharge-density-waves, which always occur before the valence-instabilitycritical point is reached. An effective singular attraction arises in theproximity of the charge-density wave instability, accounting for both a strongpairing mechanism and for the anomalous normal state properties.

Incommensurate charge-density-wave instability in the extended three-band Hubbard model