#### Condensed Matter Theory

### Niklas Teichmann et.al.: Bose-Hubbard phase diagram with arbitrary integer filling

**Author(s)**:**Niklas Teichmann, Dennis Hinrichs, Martin Holthaus, André Eckardt****Title**:**Date of Upload**: 2009-03-10
**Article**:**Phys. Rev. B 79, 100503(R) (2009), The American Physical Society (APS)****Keywords**: Bose-Hubbard model, high-order perturbation theory, Josephson effect, metal-insulator transition, phase diagram, superfluidity**PACS**: 67.85.Hj, 03.75.Hh, 03.75.Lm, 64.70.Tg**Abstract**:- We study the transition from a Mott insulator to a superfluid in both the two- and the three-dimensional Bose-Hubbard model at zero temperature, employing the method of the effective potential. Converting Kato's perturbation series into an algorithm capable of reaching high orders, we obtain accurate critical parameters for any integer filling factor. Our technique allows us to monitor both the approach to the mean-field limit by considering spatial dimensionalities d>3 and to the quantum rotor limit of high filling, which refers to an array of Josephson junctions.
**URL: http://arxiv.org/abs/0810.0643 (text/html)**

**Bose-Hubbard phase diagram with arbitrary integer filling**

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