Quantum rotor description of the Mott-insulator transition in the Bose-Hubbard model

We present an approach to the Bose-Hubbard model using the U(1) quantum rotor description. The effective action formalism allows us to formulate a problem in the phase only action and obtain analytical formulas for the critical lines. We show that the nontrivial U(1) phase field configurations have...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2007-09, Vol.76 (9), Article 094503
Main Authors: Polak, T. P., Kopeć, T. K.
Format: Article
Language:English
Subjects:
ACTION INTEGRAL
BOSONS
COMPARATIVE EVALUATIONS
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONFIGURATION
HUBBARD MODEL
INTERACTING BOSON MODEL
METALS
MONTE CARLO METHOD
PHASE DIAGRAMS
ROTORS
TOPOLOGY
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Summary:We present an approach to the Bose-Hubbard model using the U(1) quantum rotor description. The effective action formalism allows us to formulate a problem in the phase only action and obtain analytical formulas for the critical lines. We show that the nontrivial U(1) phase field configurations have an impact on the phase diagrams. The topological character of the quantum field is governed by terms of the integer charges--winding numbers. The comparison of presented results to recently obtained quantum Monte Carlo numerical calculations suggests that the competition between quantum effects in strongly interacting boson systems is correctly captured by our model.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.76.094503