Abstract
By introducing a modulation parameter (ξ), we study the one-dimensional correlated system with modulated hopping, on-site (U) and nearest-neighbor (V) repulsions in the weak-coupling regime. The induced three-body attraction changes topology of the conventional phase diagram. Besides the usual CDW and SDW phases, a BSDW phase exists for |U−2V|<8tξ2/π. In the absence of V, an insulator–metal transition takes place, and the TS phase is realized for ξ>πU/8t. Phenomenologically, the general quantum phase diagram including insulating and superconducting phases is discussed.
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