Competing Orders in two-dimensional Bose-Fermi mixtures

Abstract

Using a functional renormalization group approach we study the zero temperature phase diagram of two-dimensional Bose-Fermi mixtures of ultra-cold atoms in optical lattices, in the limit when the velocity of bosonic condensate fluctuations are much larger than the Fermi velocity. For spin-1/2 fermions we obtain a phase diagram, which shows a competition of pairing phases of various orbital symmetry ($s$, $p$, and $d$) and antiferromagnetic order. We determine the value of the gaps of various phases close to half-filling, and identify subdominant orders as well as short-range fluctuations from the RG flow. For spinless fermions we find that p-wave pairing dominates the phase diagram.

4 pages, 3 figures, minor corrections

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• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
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• Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices
• Pairing and density-wave phases in Boson-Fermion mixtures at fixed filling
• Phonon-mediated tuning of instabilities in the Hubbard model at half-filling
• Phases and collective modes of hardcore Bose-Fermi mixture in an optical lattice
• Pressure induced FFLO instability in multi-band superconductors
• Quantum Monte Carlo simulations of bosonic and fermionic impurities in a two-dimensional hard-core boson system