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The excitation spectrum and the collective modes of graphene antidot lattices(GALs) are studied in the context of a $\pi$-band tight-binding model. Thedynamical polarizability and dielectric function are calculated within therandom phase approximation. The effect of different kinds of disorder, such asgeometric and chemical disorder, are included in our calculations. We highlightthe main differences of GALs with respect to single-layer graphene (SLG). Ourresults show that, in addition to the well-understood bulk plasmon in dopedsamples, inter-band plasmons appear in GALs. We further show that the staticscreening properties of undoped and doped GALs are quantitatively differentfrom SLG.

Screening and Collective Modes in Disordered Graphene Antidot Lattices