Phase diagram and thermodynamics of the three-dimensional Bose-Hubbard model

We report results of quantum Monte Carlo simulations of the Bose-Hubbard model in three dimensions. Critical parameters for the superfluid-to-Mott-insulator transition are determined with significantly higher accuracy than has been done in the past. In particular, the position of the critical point...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2007-04, Vol.75 (13), Article 134302
Main Authors: Capogrosso-Sansone, B., Prokof’ev, N. V., Svistunov, B. V.
Format: Article
Language:English
Subjects:
COMPUTERIZED SIMULATION
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
EFFECTIVE MASS
ENTROPY
HUBBARD MODEL
INTERACTING BOSON MODEL
MATERIALS SCIENCE
MONTE CARLO METHOD
PHASE DIAGRAMS
QUANTUM COMPUTERS
QUANTUM INFORMATION
RELATIVISTIC RANGE
SOUND WAVES
SPECIFIC HEAT
SUPERFLUIDITY
TEMPERATURE RANGE 0065-0273 K
THERMODYNAMICS
THREE-DIMENSIONAL CALCULATIONS
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Summary:We report results of quantum Monte Carlo simulations of the Bose-Hubbard model in three dimensions. Critical parameters for the superfluid-to-Mott-insulator transition are determined with significantly higher accuracy than has been done in the past. In particular, the position of the critical point at filling factor n=1 is found to be at (U/t){sub c}=29.34(2), and the insulating gap {delta} is measured with accuracy of a few percent of the hopping amplitude t. We obtain the effective mass of particle and hole excitations in the insulating state--with explicit demonstration of the emerging particle-hole symmetry and relativistic dispersion law at the transition tip--along with the sound velocity in the strongly correlated superfluid phase. These parameters are the necessary ingredients to perform analytic estimates of the low temperature (T
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.75.134302