The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit

Abstract

We study the phase diagram of the zero-temperature, one-dimensional Bose-Fermi-Hubbard model for fixed fermion density in the limit of small fermionic hopping. This model can be regarded as an instance of a disordered Bose-Hubbard model with dichotomic values of the stochastic variables. Phase boundaries between compressible, incompressible (Mott-insulating) and partially compressible phases are derived analytically within a generalized strong-coupling expansion and numerically using density matrix renormalization group (DMRG) methods. We show that first-order correlations in the partially compressible phases decay exponentially, indicating a glass-type behaviour. Fluctuations within the respective incompressible phases are determined using perturbation theory and are compared to DMRG results.

11 pages, 15 figures, 2nd, revised version

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Cited by in corpus (11)

• Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
• Optical lattice quantum Hall effect
• Supersolidity of cold-atom Bose-Fermi mixtures in optical lattices
• Gutzwiller approach to the Bose-Hubbard model with random local impurities
• Superfluid and Mott Insulator phases of one-dimensional Bose-Fermi mixtures
• Ultracold bosons in lattices with binary disorder
• Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
• Superfluid-insulator transition in Fermi-Bose mixtures and the orthogonality catastrophe
• Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice
• Effects of a dilute gas of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model
• Boson Hubbard model with weakly coupled Fermions