Scaling property of the critical hopping parameters for the Bose-Hubbard model

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Teichmann, Niklas
Hinrichs, Dennis
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Abstract
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Recently precise results for the boundary between the Mott insulator phase and the superfluid phase of the homogeneous Bose-Hubbard model have become available for arbitrary integer filling factor g and any lattice dimension d > 1. We use these data for demonstrating that the critical hopping parameters obey a scaling relationship which allows one to map results for different g onto each other. Unexpectedly, the mean-field result captures the dependence of the exact critical parameters on the filling factor almost fully. We also present an approximation formula which describes the critical parameters for d > 1 and any g with high accuracy.
Comment: 5 pages, 5 figures. to appear in EPJ B
Keywords
Condensed Matter - Other Condensed Matter, Condensed Matter - Quantum Gases
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