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

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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