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Abstract
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In this work, we present a hydrodynamic model to study the coupled quantum electron plasma
oscillations (QEPO) for two dimensional (2D) degenerate plasmas, which incorporates all the
essential quantum ingredients such as the statistical degeneracy pressure, electron-exchange, and
electron quantum diffraction effect. Effects of diverse physical aspects like the electronic
band-dispersion effect, the electron exchange-correlations and the quantum Bohm-potential as well
as other important plasma parameters such as the coupling parameter (plasma separation) and the
plasma electron number-densities on the linear response of the coupled system are investigated. By
studying three different 2D plasma coupling types, namely, graphene-graphene, graphene-metalfilm,
and metalfilm-metalfilm coupling configurations, it is remarked that the collective quantum effects
can influence the coupled modes quite differently, depending on the type of the plasma configuration.
It is also found that the slow and fast QEPO frequency modes respond very differently to the change
in plasma parameters. Current findings can help in understanding of the coupled density oscillations
in multilayer graphene, graphene-based heterojunctions, or nanofabricated integrated circuits.
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