Journal
PHYSICAL REVIEW B
Volume 79, Issue 10, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.79.100503
Keywords
Hubbard model; Josephson effect; metal-insulator transition; perturbation theory; phase diagrams; superfluidity
Funding
- Studienstiftung des deutschen
- Alexander von Humboldt foundation
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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.
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