  In a dipolar Fermi gas, the dipole-dipole interaction between fermions can be
turned into a dipolar Ising interaction between pseduospins in the presence of
an AC electric field. When trapped in a 2D optical lattice, such a dipolar
Fermi gas has a very rich phase diagram at zero temperature, due to the
competition between antiferromagnetism and superfluidity. At half filling, the
antiferromagnetic state is the favored ground state. The superfluid state
appears as the ground state at a smaller filling factor. In between there is a
phase-separated region. The order parameter of the superfluid state can display
different symmetries depending on the filling factor and interaction strength,
including d-wave ($d$), extend s-wave ($xs$), or their linear combination
($xs+i\times d$). The implication for the current experiment is discussed.
