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We have carried out Density Matrix Renormalization Group (DMRG) calculationson the ground state of long polyacene oligomers within a Pariser-Parr-Pople(PPP) Hamiltonian. The PPP model includes long-range electron correlationswhich are required for physically realistic modeling of conjugated polymers. Wehave obtained the ground state energy as a function of the dimerization$\delta$ and various correlation functions and structure factors for$\delta=0$. From energetics, we find that while the nature of the Peierls'instabilityin polyacene is conditional and strong electron correlations enhancethe dimerization. The {\it cis} form of the distortion is favoured over the{\it trans} form. However, from the analysis of correlation functions andassociated structure factors, we find that polyacene is not susceptible to theformation of a bond order wave (BOW), spin density wave (SDW) or a chargedensity wave (CDW) in the ground state.Comment: 31 pages, latex, 13 figure

Structural and electronic instabilities in polyacenes: Density-matrix renormalization group study of a long-range interacting model