Condensed Matter Theory

Niklas Teichmann & Dennis Hinrichs: Scaling property of the critical hopping parameters for the Bose-Hubbard model

Author(s): Niklas Teichmann, Dennis Hinrichs

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

Date of Upload:
2009-09-22

Article: Eur. Phys. J. B 71, 219 (2009)

Keywords: critical hopping parameters, Bose-Hubbard model, Mott insulator, superfluid, scaling, mean-field

PACS: 67.85.Hj, 64.70.Tg, 03.75.Lm

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.

URL: http://arxiv.org/abs/0909.3209 (text/html)
DOI: 10.1140/epjb/e2009-00298-8


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