  Direct coupling between gapless bosons and a Fermi surface results in the
destruction of Landau quasiparticles and a breakdown of Fermi liquid theory.
Such a non-Fermi liquid phase arises in spin-orbit coupled ferromagnets with
spontaneously broken continuous symmetries due to strong coupling between
rotational Goldstone modes and itinerant electrons. These systems provide an
experimentally accessible context for studying non-Fermi liquid physics.
Possible examples include low-density Rashba coupled electron gases, which have
a natural tendency towards spontaneous ferromagnetism, or topological insulator
surface states with proximity-induced ferromagnetism. Crucially, unlike the
related case of a spontaneous nematic distortion of the Fermi surface, for
which the non-Fermi liquid regime is expected to be masked by a superconducting
dome, we show that the non-Fermi liquid phase in spin-orbit coupled
ferromagnets is stable.
