Superfluid transition of disordered dipolar Fermi gases in a 2D lattice

We consider a superfluid transition in two-component dipolar Fermi gases in a two-dimensional lattice with a weak on-site disorder. The momentum dependent dipole-dipole interaction amplitude violates the Anderson theorem and in the weakly interacting regime this leads to an increase of the superfluid transition temperature. We find that in a sufficiently deep lattice (tight-binding regime) and in the low momentum limit superfluid properties can be considered in the same way as in free space replacing the mass of atoms by an effective mass in the lattice. The disorder-induced increase of the critical temperature can be significantly more pronounced than in free space.