Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice

Abstract

The experimentally observed loss of superfluidity by introducing fermions to the boson Hubbard system on an optical lattice is explained. We show that the virtual transitions of the bosons to the higher Bloch bands, coupled with the contact boson-fermion interactions of either sign, result in an effective increase of the boson on-site repulsion. If this renormalization of the on-site potential is dominant over the fermion screening of the boson interactions, the Mott insulating lobes of the Bose-Hubbard phase diagram will be enhanced for either sign of the boson-fermion interactions. We discuss implications for cold atom experiments where the expansion of the Mott lobes by fermions has been conclusively established.

arXiv comment4 pages, 1 eps figure, minor changes

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Cited by in corpus (18)

• Non-standard Hubbard models in optical lattices: a review
• Disordered quantum gases under control
• Quantum phase transition to unconventional multi-orbital superfluidity in optical lattices
• Effective three-body interactions of neutral bosons in optical lattices
• Multi-orbital and density-induced tunneling of bosons in optical lattices
• Effective multi-body induced tunneling and interactions in the Bose-Hubbard model of the lowest dressed band of an optical lattice
• Multi-band and nonlinear hopping corrections to the 3D Bose-Fermi Hubbard model
• Mott Insulator to Superfluid transition in Bose-Bose mixtures in a two-dimensional lattice
• Density-induced processes in quantum gas mixtures in optical lattices
• Zero-temperature phase diagram of Bose-Fermi gaseous mixtures in optical lattices
• Interaction Driven Interband Tunneling of Bosons in the Triple Well
• Effect of interactions on harmonically confined Bose-Fermi mixtures in optical lattices
• Hubbard model for atomic impurities bound by the vortex lattice of a rotating BEC
• Effects of a dilute gas of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model
• Mixtures of correlated bosons and fermions: Dynamical mean-field theory for normal and condensed phases
• Phase transitions in Bose-Fermi-Hubbard model in the heavy fermion limit: Hard-core boson approach
• Bose-Fermi solid and its quantum melting in an one-dimensional optical lattice
• Sign reversal of the boson-boson interaction potential in planar Bose-Fermi mixtures under a synthetic magnetic field