Competing Superconducting States for Ultracold Atoms in Optical Lattices with Artificial Staggered Magnetic Field

Details Competing Superconducting States for Ultracold Atoms in Optical Lattices with Artificial Staggered Magnetic Field Competing Superconducting States for Ultracold Atoms in Optical Lattices with Artificial Staggered Magnetic Field

2010-02-23

arxiv.org/abs/1002.4423v1

Phys. Rev. A 82, 013616 (2010)

Physics

Condensed Matter

Quantum Gases

Scientific paper

10.1103/PhysRevA.82.013616

We study superconductivity in an ultracold Bose-Fermi mixture loaded into a square optical lattice subjected to a staggered flux. While the bosons form a superfluid at very low temperature and weak interaction, the interacting fermions experience an additional long-ranged attractive interaction mediated by phonons in the bosonic superfluid. This leads us to consider a generalized Hubbard model with on-site and nearest-neighbor attractive interactions, which give rise to two competing superconducting channels. We use the Bardeen-Cooper-Schrieffer theory to determine the regimes where distinct superconducting ground states are stabilized, and find that the non-local pairing channel favors a superconducting ground state which breaks both the gauge and the lattice symmetries, thus realizing unconventional superconductivity. Furthermore, the particular structure of the single-particle spectrum leads to unexpected consequences, for example, a dome-shaped superconducting region in the temperature versus filing fraction phase diagram, with a normal phase that comprises much richer physics than a Fermi-liquid. Notably, the relevant temperature regime and coupling strength is readily accessible in state of the art experiments with ultracold trapped atoms.

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