  Effects of spin-orbit coupling (SOC) on metal-Mott insulator transition
(MMIT) and spin exchange physics (SEP) of two-component Fermi gases in
two-dimension half-filling square optical lattices are investigated. In the
frame of Kotliar and Ruckenstein slave boson and the second order perturbation
theory, the phase boundary of paramagnetic MMIT and spin exchange Hamiltonian
are calculated. In addition by adopting two mean-field ansatzs including
antiferromagnetic, ferromagnetic and spiral phases, we find that SOC can drive
a quantum phase transition from antiferromagnet to spiral phase.
