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Phases of the one-dimensional Bose-Hubbard model

Till D. Kuehner·H. Monien
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Abstract

The zero-temperature phase diagram of the one-dimensional Bose-Hubbard model with nearest-neighbor interaction is investigated using the Density-Matrix Renormalization Group. Recently normal phases without long-range order have been conjectured between the charge density wave phase and the superfluid phase in one-dimensional bosonic systems without disorder. 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 with and without nearest-neighbor interaction are obtained. Both phase diagrams show reentrance from the superfluid phase to the insulator phase.

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Till D. Kuehner, H. Monien. 1999-01-12. Phases of the one-dimensional Bose-Hubbard model. https://doi.org/10.1103/physrevb.58.r14741

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