Abstract

The bosonic Hubbard model is studied via a simple mean-field theory. At zero temperature, in addition to yielding a phase diagram that is qualitatively correct, namely a superfluid phase for non-integer fillings and a Mott transition from a superfluid to an insulating phase for integer fillings, this theory gives results that are in good agreement with Monte Carlo simulations. In particular, the superfluid fraction obtained as a function of the interaction strength U for both integer and non-integer fillings is close to the simulation results. In all phases the excitation spectra are obtained by using the random phase approximation (RPA): the spectrum has a gap in the insulating phase and is gapless (and linear at small wave vectors) in the superfluid phase. Analytic results are presented in the limits of large U and small superfluid density. Finite-temperature phase diagrams and the Mott-insulator-normal-phase crossover are also described.

Keywords

SuperfluidityCondensed matter physicsPhysicsPhase diagramBosonPhase (matter)SuperconductivitySuperfluid helium-4Mott insulatorMean field theoryRotonQuantum vortexQuantum mechanics

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Publication Info

Year
1993
Type
article
Volume
22
Issue
4
Pages
257-263
Citations
415
Access
Closed

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K. Sheshadri, H. R. Krishnamurthy, Rahul Pandit et al. (1993). Superfluid and Insulating Phases in an Interacting-Boson Model: Mean-Field Theory and the RPA. Europhysics Letters (EPL) , 22 (4) , 257-263. https://doi.org/10.1209/0295-5075/22/4/004

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DOI
10.1209/0295-5075/22/4/004

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Data completeness: 77%