The plasmon density of states of a layered electron gas

The plasmon density of states (DOS) ρ(ω) of a layered electron gas (LEG) is studied theoretically. It is shown that ρ(ω) is a linear function of frequency ω as ω goes to 0, and then increase more rapidly as ω tends to the screened, three dimensional plasma frequency ωp. We also study the partial densities of state for constant κ and qz, where κ and qz are the magnitude of the transverse and perpendicular momentum transfers. A possible experimental probe for the plasmon DOS is discussed. (orig.)