Mean-field phase diagram of disordered bosons in a lattice at non-zero temperature

Abstract

Bosons in a periodic lattice with on-site disorder at low but non-zero temperature are considered within a mean-field theory. The criteria used for the definition of the superfluid, Mott insulator and Bose glass are analysed. Since the compressibility does never vanish at non-zero temperature, it can not be used as a general criterium. We show that the phases are unambiguously distinguished by the superfluid density and the density of states of the low-energy exitations. The phase diagram of the system is calculated. It is shown that even a tiny temperature leads to a significant shift of the boundary between the Bose glass and superfluid.

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Cited by in corpus (20)

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• Mean-field phase diagram of cold lattice bosons in disordered potentials
• Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model
• Effective Action Approach for Quantum Phase Transitions in Bosonic Lattices
• Gutzwiller approach to the Bose-Hubbard model with random local impurities
• Bose-Fermi mixtures in an optical lattice
• Ultracold bosons in lattices with binary disorder
• Superfluid-insulator transition in Fermi-Bose mixtures and the orthogonality catastrophe
• Disorder-enhanced phase coherence in trapped bosons on optical lattices
• Mean-field phase diagram for Bose-Hubbard Hamiltonians with random hopping
• Green's function approach to the Bose-Hubbard model with disorder
• Glassy features of a Bose Glass
• Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
• Emergence of damped-localized excitations of the Mott state due to disorder
• Finite temperature phase diagram of the extended Bose-Hubbard model in the presence of disorder
• Phase diagram of disordered Bose-Hubbard model based on mean-field and percolation analysis in two dimensions and at fixed $n=1$ filling