Bose-Hubbard phase diagram with arbitrary integer filling

Journal Article · Sun Mar 01 04:00:00 EST 2009 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.79.100503· OSTI ID:21192547

Teichmann, Niklas; Hinrichs, Dennis; Holthaus, Martin; Eckardt, Andre ^[1]

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1. Institut fuer Physik, Carl von Ossietzky Universitaet, D-26111 Oldenburg (Germany)

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.

• OSTI ID: 21192547
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 10 Vol. 79; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGORITHMS
DISTURBANCES
HUBBARD MODEL
JOSEPHSON EFFECT
JOSEPHSON JUNCTIONS
MEAN-FIELD THEORY
METALS
MONITORS
PERTURBATION THEORY
PHASE DIAGRAMS
SUPERCONDUCTIVITY
SUPERFLUIDITY
TEMPERATURE ZERO K
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS