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Competing Orders in two-dimensional Bose-Fermi mixtures

L. Mathey·S-W. Tsai·A. H. Castro Neto
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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.

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L. Mathey, S-W. Tsai, A. H. Castro Neto. 2006-02-21. Competing Orders in two-dimensional Bose-Fermi mixtures. https://doi.org/10.1103/physrevlett.97.030601

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