Dipolar fermions in a two-dimensional lattice at non-zero temperature

We examine density ordered and superfluid phases of fermionic dipoles in a two-dimensional square lattice at non-zero temperature. The critical temperature of the density ordered phases is determined and is shown to be proportional to the coupling strength for strong coupling. We calculate the superfluid fraction and demonstrate that the Berezinskii-Kosterlitz-Thouless transition temperature of the superfluid phase is proportional to the hopping matrix element in the strong coupling limit. We finally analyze the effects of an external harmonic trapping potential.