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arXiv · 0909.3209

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

Niklas Teichmann·Dennis Hinrichs
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Abstract

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.

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Niklas Teichmann, Dennis Hinrichs. 2009-09-17. Scaling property of the critical hopping parameters for the Bose-Hubbard model. https://doi.org/10.1140/epjb/e2009-00298-8

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