Berezinskii-Kosterlitz-Thoules phase transition of spin-orbit coupled Fermi gas in optical lattice

We use a determinant quantum Monte Carlo simulation and a mean-field approach to study the Rashba spin-orbit coupled Fermi gases in square optical lattice. Notably, we show that the Berezinskii-Kosterlitz-Thoules phase transition temperature can be enhanced by the spin-orbit coupling. The superfluidity is always dominated by spin-singlet pairing when the attraction or the spin-orbit coupling increases. Moreover, the spin susceptibility is shown to be anisotropic and attends a steady value in the presence of the spin-orbit coupling.