2,078 research outputs found

    Design of a Graphics Interface for Linear Programming

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    Information Systems Working Papers Serie

    Superfluid, Mott-Insulator, and Mass-Density-Wave Phases in the One-Dimensional Extended Bose-Hubbard Model

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    We use the finite-size density-matrix-renormalization-group (FSDMRG) method to obtain the phase diagram of the one-dimensional (d=1d = 1) extended Bose-Hubbard model for density ρ=1\rho = 1 in the UVU-V plane, where UU and VV are, respectively, onsite and nearest-neighbor interactions. The phase diagram comprises three phases: Superfluid (SF), Mott Insulator (MI) and Mass Density Wave (MDW). For small values of UU and VV, we get a reentrant SF-MI-SF phase transition. For intermediate values of interactions the SF phase is sandwiched between MI and MDW phases with continuous SF-MI and SF-MDW transitions. We show, by a detailed finite-size scaling analysis, that the MI-SF transition is of Kosterlitz-Thouless (KT) type whereas the MDW-SF transition has both KT and two-dimensional-Ising characters. For large values of UU and VV we get a direct, first-order, MI-MDW transition. The MI-SF, MDW-SF and MI-MDW phase boundaries join at a bicritical point at (U,V)=(8.5±0.05,4.75±0.05)U, V) = (8.5 \pm 0.05, 4.75 \pm 0.05).Comment: 10 pages, 15 figure

    LPSPEC: A Language for Representing Linear Programs

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    Information Systems Working Papers Serie
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