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

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.

5 pages, 5 figures. to appear in EPJ B

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Cited by in corpus (5)

• Ultracold bosons with short-range interaction in regular optical lattices
• Reference data for phase diagrams of triangular and hexagonal bosonic lattices
• High-order symbolic strong-coupling expansion for the Bose-Hubbard model
• Perturbative calculation of critical exponents for the Bose-Hubbard model
• Generalized Effective Potential Landau Theory for Bosonic Quadratic Superlattices