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We analyze via theoretical approaches and molecular dynamics simulations thecollective mode structure of strongly coupled two-dimensional binary Yukawasystems, for selected density, mass and charge ratios, both in the liquid andcrystalline solid phases. Theoretically, the liquid phase is described throughthe Quasi-Localized Charge Approximation (QLCA) approach, while in thecrystalline phase we study the centered honeycomb and the staggered rectangularcrystal structures through the standard harmonic phonon approximation. Weidentify "longitudinal" and "transverse" acoustic and optic modes and find thatthe longitudinal acoustic mode evolves from its weakly coupled counterpart in adiscontinuous non-perturbative fashion. The low frequency acoustic excitationsare governed by the oscillation frequency of the average atom, while the highfrequency optic excitation frequencies are related to the Einstein frequenciesof the systems.

Collective Modes in Two Dimensional Binary Yukawa Systems