Abstract. We show how strongly interacting two-dimensional Dirac fermions can be realized with ultracold atoms in a two-dimensional optical square lattice with an experimentally realistic, inherent gauge field, which breaks time reversal and inversion symmetries. We find remarkable phenomena in a temperature range around a tenth of the Fermi temperature, accessible with present experimental techniques: at zero chemical potential, besides a conventional s-wave superconducting phase, unconventional superconductivity with non-local bond pairing arises. In a temperature vs. doping phase diagram, the unconventional superconducting phase exhibits a dome structure, reminiscent of the phase diagram for high-temperature superconductors and heavy fermions.

PACS numbers: 67.85.Pq, 37.10.Jk, 71.10.Fd

Accepted by M. Lewenstein

Print publication: Issue 3 (November 2009)
Received 23 September 2009, accepted for publication 14 October 2009
Published 2 November 2009