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We use the finite-size density-matrix-renormalization-group (FSDMRG) methodto obtain the phase diagram of the one-dimensional ($d = 1$) extendedBose-Hubbard model for density $\rho = 1$ in the $U-V$ plane, where $U$ and $V$are, respectively, onsite and nearest-neighbor interactions. The phase diagramcomprises three phases: Superfluid (SF), Mott Insulator (MI) and Mass DensityWave (MDW). For small values of $U$ and $V$, we get a reentrant SF-MI-SF phasetransition. For intermediate values of interactions the SF phase is sandwichedbetween MI and MDW phases with continuous SF-MI and SF-MDW transitions. Weshow, by a detailed finite-size scaling analysis, that the MI-SF transition isof Kosterlitz-Thouless (KT) type whereas the MDW-SF transition has both KT andtwo-dimensional-Ising characters. For large values of $U$ and $V$ we get adirect, first-order, MI-MDW transition. The MI-SF, MDW-SF and MI-MDW phaseboundaries join at a bicritical point at ($U, V) = (8.5 \pm 0.05, 4.75 \pm0.05)$.Comment: 10 pages, 15 figure

Superfluid, Mott-insulator, and mass-density-wave phases in the one-dimensional extended Bose-Hubbard model