From the Cooper problem to canted supersolids in Bose-Fermi mixtures

Abstract

We calculate the phase diagram of the Bose-Fermi Hubbard model on the 3d cubic lattice at fermionic half filling and bosonic unit filling by means of single-site dynamical mean-field theory. For fast bosons, this is equivalent to the Cooper problem in which the bosons can induce s-wave pairing between the fermions. We also find miscible superfluid and canted supersolid phases depending on the interspecies coupling strength. In contrast, slow bosons favor fermionic charge density wave structures for attractive fermionic interactions. These competing instabilities lead to a rich phase diagram within reach of cold gas experiments.

5 pages, 4 figures; replaced with published version

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Cited by in corpus (24)

• Quantum chaos in SU_3 models with trapped ions
• Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
• Condensed phase of Bose-Fermi mixtures with a pairing interaction
• Mean-field phase diagram of the Bose-Fermi Hubbard model
• Supersolid Phase Accompanied by a Quantum Critical Point in the Intermediate Coupling Regime of the Holstein Model
• Dynamical Mean Field Approximation Applied to Quantum Field Theory
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Bosonic self-energy functional theory
• Exotic Superconductivity Through Bosons in a Dynamical Cluster Approximation
• Dissipative Effects on the Superfluid to Insulator Transition in Mixed-dimensional Optical Lattices
• Numerical calculation of spectral functions of the Bose-Hubbard model using B-DMFT
• Bose-Fermi mixtures in the molecular limit
• Phase transitions in Bose-Fermi-Hubbard model in the heavy fermion limit: Hard-core boson approach
• Fast Principal Minor Algorithms for Quantum Many Body Systems
• Insulator phases of a mixture of spinor fermions and hard-core bosons
• Mixture of scalar bosons and two-color fermions in one dimension: Superfluid-insulator transitions
• Particle-Hole Pair Coherence in Mott Insulator Quench Dynamics
• Spin-selective insulators in Bose-Fermi mixtures
• Boson-fermion pairing and condensation in two-dimensional Bose-Fermi mixtures
• Competing instabilities at long length scales in the one-dimensional Bose-Fermi-Hubbard model at commensurate fillings
• Insulator phases of Bose-Fermi mixtures induced by intraspecies next-neighbor interactions
• Energy of strongly attractive Bose-Fermi mixtures
• Mechanical stability of resonant Bose-Fermi mixtures
• Devil's staircase of topological Peierls insulators and Peierls supersolids