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Superfluidity of the Bose-Hubbard model: su (1,1) linearization scheme

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  • Amico, Luigi
  • Rasetti, Mario
  • Zecchina, Riccardo

Abstract

Statistical mechanics of the bosonic Hubbard model is studied in the frame of an improved linearization scheme, applied in such a way so as to approximate in thermodynamically self-consistent way the local interaction and keeping all long-range correlations exact in the linearized form. The hamiltonian spectrum can be obtained due to the resulting dynamical symmetry, and the self-consistent free energy allows us to obtain the temperature dependence of the diagonal and off-diagonal order parameters. The phase diagram exhibits a superfluid condesate phase possibly co-existing, for appropriate values of (U/t)ν, with a fluctuation-mediated off-diagonal long-range-ordered phase. The corresponding transition can be thought of as a conductor-insulator transition.

Suggested Citation

  • Amico, Luigi & Rasetti, Mario & Zecchina, Riccardo, 1996. "Superfluidity of the Bose-Hubbard model: su (1,1) linearization scheme," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(1), pages 300-312.
    • Handle: RePEc:eee:phsmap:v:230:y:1996:i:1:p:300-312
    DOI: 10.1016/0378-4371(96)00039-8
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