Dipolar fermions in a two-dimensional lattice at nonzero temperature

We examine density-ordered and superfluid phases of fermionic dipoles in a two-dimensional square lattice at nonzero 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 the Berezinskii-Kosterlitz-Thouless transition temperature of the superfluid phase. We finally analyze the effects of an external harmonic trapping potential.