Reference data for phase diagrams of triangular and hexagonal bosonic lattices

Details Reference data for phase diagrams of triangular and hexagonal bosonic lattices Reference data for phase diagrams of triangular and hexagonal bosonic lattices

2010-07-05

arxiv.org/abs/1007.0685v1

EPL (Europhysics Letters) 91, 10004 (2010)

Physics

Condensed Matter

Quantum Gases

6 pages, 5 figures, accepted for publication in EPL

Scientific paper

10.1209/0295-5075/91/10004

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.

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