Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2009-04-06
Phys. Rev. B 79, 224515 (2009)
Physics
Condensed Matter
Other Condensed Matter
15 pages, 20 figures
Scientific paper
10.1103/PhysRevB.79.224515
We carry out a perturbative analysis, of high order in the tunneling parameter, of the ground state of the homogeneous Bose-Hubbard model in the Mott insulator phase. This is made possible by a diagrammatic process chain approach, derived from Kato's representation of the many-body perturbation series, which can be implemented numerically in a straightforward manner. We compute ground-state energies, atom-atom correlation functions, density-density correlations, and occupation number fluctuations, for one-, two-, and three-dimensional lattices with arbitrary integer filling. A phenomenological scaling behavior is found which renders the data almost independent of the filling factor. In addition, the process chain approach is employed for calculating the boundary between the Mott insulator phase and the superfluid phase with high accuracy. We also consider systems with dimensionalities d>3, thus monitoring the approach to the mean-field limit. The versatility of the method suggests further applications to other systems which are less well understood.
Eckardt Andre
Hinrichs Dennis
Holthaus Martin
Teichmann Niklas
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