Strong-coupling expansions for the pure and disordered bose Hubbard model

Abstract

A strong-coupling expansion for the phase boundary of the (incompressible) Mott insulator is presented for the bose Hubbard model. Both the pure case and the disordered case are examined. Extrapolations of the series expansions provide results that are as accurate as the Monte Carlo simulations and agree with the exact solutions. The shape difference between Kosterlitz-Thouless critical behavior in one-dimension and power-law singularities in higher dimensions arises naturally in this strong-coupling expansion. Bounded disorder distributions produce a ``first-order'' kink to the Mott phase boundary in the thermodynamic limit because of the presence of Lifshitz's rare regions.

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References in corpus (4)

• Phase diagram of the bose Hubbard model
• Supersolids in the Bose-Hubbard Hamiltonian
• On the Coexistence of Diagonal and off-Diagonal Long-Range Order, a Monte Carlo Study
• Mean Field Theory of the Localization Transition

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