Is there a ``normal'' Phase in the One-Dimensional Bose-Hubbard Model at zero Temperature?
Abstract
The phase diagram of the one-dimensional Bose-Hubbard model with nearest-neighbor interaction is investigated using the Density-Matrix Renormalization Group. The Luttinger liquid description of the superfluid phase is used to find the onset of superfluidity, allowing for a reliable determination of the Kosterlitz-Thouless phase transitions. Recently normal phases without long-range order have been conjectured between the charge density wave phase and the superfluid phase in one-dimensional Josephson junction arrays. Our calculations demonstrate that there is no intermediate phase in the one-dimensional Bose-Hubbard model but a simultaneous vanishing of crystalline order and appearance of superfluid order. The complete phase diagrams in the grand canonical ensemble with and without nearest-neighbor interaction is obtained. Both phase diagrams show reentrance from the superfluid phase to the insulator phase.Keywords
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