A numerical exact solution of the Bose-Hubbard model

Details A numerical exact solution of the Bose-Hubbard model A numerical exact solution of the Bose-Hubbard model

1999-05-25

arxiv.org/abs/cond-mat/9905367v1

Physics

Condensed Matter

Superconductivity

revtex, postscript figures

Scientific paper

In this paper we report results from a systematic strong-coupling expansion of the Bose-Hubbard model in one and two spatial dimensions. We obtain numerically exact results for the structure factor and the spectrum of single particle and single hole excitations in the Mott insulator. This enables the determination of the zero-temperature phase diagram and the location of the critical endpoints of the Mott lobes. In one dimension we confirm the occurrence of reentrance behavior from the compressible to the insulating phase in a region close to the critical point.

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