Superfluid-insulator transition in Fermi-Bose mixtures and the orthogonality catastrophe

Abstract

The superfluid-insulator transition of bosons is strongly modified by the presence of Fermions. Through an imaginary-time path integral approach, we derive the self-consistent mean-field transition line, and account for both the static and the dynamic screening effects of the fermions. We find that an effect akin to the fermionic orthogonality catastrophe, arising from the fermionic screening fluctuations, suppresses superfluidity. We analyze this effect for various mixture parameters and temperatures, and consider possible signatures of the orthogonality catastrophe effect in other measurables of the mixture.

11 pages, 4 figures

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Cited by in corpus (11)

• Supersolidity of cold-atom Bose-Fermi mixtures in optical lattices
• Gutzwiller approach to the Bose-Hubbard model with random local impurities
• Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
• Zero-temperature phase diagram of Bose-Fermi gaseous mixtures in optical lattices
• Effect of interactions on harmonically confined Bose-Fermi mixtures in optical lattices
• 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
• Many-body effects of a two-dimensional electron gas on trion-polaritons
• Single particle polariton properties in doped quantum well microcavities: role of the Fermi edge singularity and Anderson orthogonality catastrophe
• Boson Hubbard model with weakly coupled Fermions
• Mobile Impurities and Orthogonality Catastrophe in two-dimensional Vortex Lattices