Collective density fluctuations of strange metals with critical Fermi surfaces

A hallmark of a Fermi liquid is a collective excitation associated with fluctuations of the Fermi surface, which evolves into the well-known plasmon in the presence of Coulomb interactions. This paper addresses the fate of the plasmon excitation in non-Fermi liquid metals with a sharply defined Fermi surface, but where long-lived single-electron excitations are absent. The authors use two complementary theoretical techniques to analyze the collective density fluctuations and their decay into the two-particle continuum for three distinct solvable examples of non-Fermi liquids.