Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices

Details Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices

2006-09-08

arxiv.org/abs/cond-mat/0609212v3

Physical Review B, 75, 174516 (2007)

Physics

Condensed Matter

Superconductivity

6 pages, 4 figures, extended version, slight modifications

Scientific paper

10.1103/PhysRevB.75.174516

We study the phase diagram of two-dimensional Bose-Fermi mixtures of ultracold atoms on a triangular optical lattice, in the limit when the velocity of bosonic condensate fluctuations is much larger than the Fermi velocity. We contrast this work with our previous results for a square lattice system in Phys. Rev. Lett. {\bf 97}, 030601 (2006). Using functional renormalization group techniques we show that the phase diagrams for a triangular lattice contain exotic superconducting phases. For spin-1/2 fermions on an isotropic lattice we find a competition of $s$-, $p$-, extended $d$-, and $f$-wave symmetry, as well as antiferromagnetic order. For an anisotropic lattice, we further find an extended p-wave phase. A Bose-Fermi mixture with spinless fermions on an isotropic lattice shows a competition between $p$- and $f$-wave symmetry. These phases can be traced back to the geometric shapes of the Fermi surfaces in various regimes, as well as the intrinsic frustration of a triangular lattice.

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