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      The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction

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          Abstract

          We study the one-dimensional Bose-Hubbard model using the Density-Matrix Renormalization Group (DMRG).For the cases of on-site interactions and additional nearest-neighbor interactions the phase boundaries of the Mott-insulators and charge density wave phases are determined. We find a direct phase transition between the charge density wave phase and the superfluid phase, and no supersolid or normal phases. In the presence of nearest-neighbor interaction the charge density wave phase is completely surrounded by a region in which the effective interactions in the superfluid phase are repulsive. It is known from Luttinger liquid theory that a single impurity causes the system to be insulating if the effective interactions are repulsive, and that an even bigger region of the superfluid phase is driven into a Bose-glass phase by any finite quenched disorder. We determine the boundaries of both regions in the phase diagram. The ac-conductivity in the superfluid phase in the attractive and the repulsive region is calculated, and a big superfluid stiffness is found in the attractive as well as the repulsive region.

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          Boson localization and the superfluid-insulator transition

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            Real-space quantum renormalization groups

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              Superfluid and Insulating Phases in an Interacting-Boson Model: Mean-Field Theory and the RPA

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                Author and article information

                Journal
                01 June 1999
                1999-06-06
                Article
                10.1103/PhysRevB.61.12474
                cond-mat/9906019
                af4ae884-4a82-4f59-8365-83975c78f62f
                History
                Custom metadata
                19 pages, 30 figures
                cond-mat.supr-con

                Condensed matter
                Condensed matter

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