Phases of the one-dimensional Bose-Hubbard model
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.
Keywords
Cite
@article{arxiv.cond-mat/9712307,
title = {Phases of the one-dimensional Bose-Hubbard model},
author = {Till D. Kuehner and H. Monien},
journal= {arXiv preprint arXiv:cond-mat/9712307},
year = {2009}
}
Comments
Revised version, 4 pages, 5 figures