  The liquid and crystal phase of a single-component Fermi gas with dipolar
interactions are investigated using quantum Monte Carlo methods in two spatial
dimensions and at zero temperature. The dipoles are oriented by an external
field perpendicular to the plane of motion, resulting in a purely repulsive
1/r^3 interaction. In the liquid phase we calculate the equation of state as a
function of the interaction strength and other relevant properties
characterizing the Fermi-liquid behavior: effective mass, discontinuity at the
Fermi surface and pair correlation function. In the high density regime we
calculate the equation of state of the Wigner crystal phase and the critical
density of the liquid to solid first order phase transition. Close to the
freezing density we also search for the existence of a stripe phase, but such a
phase is never found to be energetically favorable.
