Reference data for phase diagrams of triangular and hexagonal bosonic lattices

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Author(s): Niklas Teichmann, Dennis Hinrichs, Martin Holthaus
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Article: EPL 91, 10004 (2010) , Europhysics Letters
Keywords: Bose-Hubbard model, triangular and hexagonal optical lattices, phase transition, superfluid, Mott insulator
PACS: 03.75.Lm, 64.70.Tg, 67.85.Hj
Abstract:: We investigate systems of bosonic particles at zero temperature in triangular and hexagonal optical lattice potentials in the framework of the Bose-Hubbard model. Employing the process-chain approach, we obtain accurate values for the boundaries between the Mott insulating phase and the superfluid phase. These results can serve as reference data for both other approximation schemes and upcoming experiments. Since arbitrary integer filling factors g are amenable to our technique, we are able to monitor the behavior of the critical hopping parameters with increasing filling. We also demonstrate that the g-dependence of these exact parameters is described almost perfectly by a scaling relation inferred from the mean-field approximation.
URL: http://arxiv.org/abs/1007.0685
DOI: 10.1209/0295-5075/91/10004