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The dynamical and nonlocal dielectric function of a two-dimensional electrongas (2DEG) with finite energy bandwidth is computed within random-phaseapproximation. For large bandwidth, the plasmon dispersion has two separatebranches at small and large momenta. The large momenta branch exhibits negativequasi-flat dispersion. The two branches merge with decreasing bandwidth. Wediscuss how the maximum energy plasmon mode which resides at energies largerthan all particle-hole continuum can potentially open a route to low-lossplasmons. Moreover, we discuss the bandwidth effects on the static screening ofthe charged and magnetic impurities.

Plasmons and screening in finite-bandwidth 2D electron gas