arXiv:1304.4511 · Physical Review A
Spin-orbit coupling effects on the superfluidity of a Fermi gas in an optical lattice
Qing‐Feng Sun, Guanyu Zhu, W.-M. Liu, A.-C. Ji
Abstract
We investigate the superfluidity of attractive Fermi gas in a square optical lattice with spin-orbit coupling (SOC). We show that the system displays a variety of new features. At half filling, SOC induces a Dirac semimetal and the system undergoes a semimetal-superfluid transition. Near half filling, we find that the superfluidity tends to be suppressed due to the emerging Dirac cones. While for small fillings, SOC can induce a BCS-BEC crossover beyond the conventional attractive Hubbard model, which is characterized by a bound state in the lattices. Moreover, we demonstrate that the superfluid density also exhibits many unusual properties in the lattices.