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- W2007065666 abstract "The frequency and wave-vector-dependent dielectric function ensuremath{varepsilon}(q,ensuremath{omega}) of a two-dimensional electron system on a square lattice is calculated within the random-phase approximation. Effects of the periodic potential on the electronic structure and dielectric properties are taken into account within the framework of the tight-binding model. Both the dispersion relation of long-wavelength plasmons and the energy-loss function Im[1/ensuremath{varepsilon}(q,ensuremath{omega})] are numerically obtained for different values of the electronic concentration ${mathit{n}}_{mathit{s}}$. For low values of ${mathit{n}}_{mathit{s}}$, results are well described by the effective-mass approximation. As ${mathit{n}}_{mathit{s}}$ increases, the Fermi level moves to regions in k space where the band structure strongly deviates from that of free electrons, and the appearance of structures in the energy-loss spectrum can be observed. Regarding plasmon excitations it is found that for all values of ${mathit{n}}_{mathit{s}}$ the long-wavelength behavior of the plasma frequency ${mathrm{ensuremath{omega}}}_{mathit{p}}$(q) can be described by a two-dimensional free-electron model provided a renormalized value of the electronic effective mass is introduced." @default.
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- W2007065666 date "1993-02-15" @default.
- W2007065666 modified "2023-10-14" @default.
- W2007065666 title "Collective electron excitations on a two-dimensional lattice" @default.
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- W2007065666 doi "https://doi.org/10.1103/physrevb.47.4798" @default.
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