Excitations of a Fermi fluid with coupled magnetic and nematic order parameters

We study possible stable phases of 2D and 3D Fermi fluids with coupled magnetic and nematic order parameters by considering appropriate Ginzburg-Landau free energies, and performing necessary minimizations. In Fermi liquid language, nematic order corresponds to L=2 distortions of the Fermi surface, so here we consider such distortions in a magnetically ordered Fermi fluid. We use Landau kinetic equation to study propagating collective modes and corresponding dispersions of the modes.