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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• From the Cooper problem to canted supersolids in Bose-Fermi mixtures
• p-Wave superfluid and phase separation in atomic Bose-Fermi mixture
• Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices
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• Stabilizing Topological Superfluidity of Lattice Fermions
• Weak three-dimensional mediators of two-dimensional triplet pairing
• Quantum Monte Carlo simulations of bosonic and fermionic impurities in a two-dimensional hard-core boson system