Ferro-Nematic ground state of the dilute dipolar Fermi gas

It is shown that a homogeneous two-component Fermi gas with (long range) dipolar and short-range isotropic interactions has a {\em ferro-nematic} phase for suitable values of the dipolar and short-range coupling constants. The ferro-nematic phase is characterized by having a non-zero magnetization and long range orientational uniaxial order. The Fermi surface of spin up (down) component is elongated (compressed) along the direction of the magnetization.