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The one-dimensional extended Hubbard model with both the on-site $U$ and thenearest neighbor $V$ interactions at quarter filling is studied by using anovel finite size scaling. We diagonalize finite size systems numerically andcalculate the Luttinger-liquid parameter $K_{\rho}$ which is substituted intothe renormalization group equation as an initial condition. It leads $K_\rho$in the infinite size system and the result agrees very well with the availableexact result with $U=\infty$. This approach also yields the charge gap in theinsulating state near the metal-insulator transition where the characteristicenergy becomes exponentially small and the usual finite size scaling is notapplicable.Comment: 7 pages, 8 figures,submitted to PR

Critical behavior near the metal-insulator transition in the one-dimensional extended Hubbard model at quarter filling