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We study the charge ordering (CO) in the one-dimensional (1D) extendedHubbard model at quarter filling where the nearest-neighbor Coulomb repulsionand dimerization in the hopping parameters are included. Using the clustermean-field approximation to take into account the effect of quantumfluctuations, we determine the CO phase boundary of the model in the parameterspace at T=0 K. We thus find that the dimerization suppresses the stability ofthe CO phase strongly, and in consequence, the realistic parameter values forquasi-1D organic materials such as (TMTTF)$_2$PF$_6$ are outside the region ofCO. We suggest that the long-range Coulomb interaction between the chainsshould persist to stabilize the CO phase.Comment: 5 pages, 4 eps figures, to appear in 15 Nov. 2001 issue of PR

Charge ordering in the one-dimensional extended Hubbard model: Implication to the TMTTF family of organic conductors