Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices

ORAL

Abstract

We study 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$^1$. Interactions, lattice geometry and frustration lead to a rich phase diagram in this system. Using functional renormalization group techniques we show that this phase diagram contains exotic superconducting and spin-density wave 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.\\ $^1$ L. Mathey, S.-W. Tsai, A.H. Castro Neto, cond-mat/0609212

–

Authors

  • Shan-Wen Tsai

    University of California, Riverside, Physics Department, University of California, Riverside, University of California Riverside

  • Ludwig Mathey

    Harvard University

  • Antonio Castro Neto

    Boston University, Department of Physics, Boston University, Boston University, Physics Department, Department of Physics. Boston University. 590 Commonwealth Av. Boston MA02115, Department of Physics, Harvard University, Cambridge, USA and Department of Physics, Boston University, Boston,USA, Department of Physics, Boston University, Boston, MA 02215, Physics Dept, Boston University