Dielectric function, screening, and plasmons in two-dimensional graphene

By E. Hwang. 2006

1,413 citations recorded by the source corpus.

The dynamical dielectric function of two-dimensional graphene at arbitrary wave vector $q$ and frequency $\ensuremath{\omega}$, $ϵ(q,\ensuremath{\omega})$, is calculated in the self-consistent-field approximation. The results are used to find the dispersion of the plasmon mode and the electrostatic screening of the Coulomb interaction in two-dimensional (2D) graphene layer within the random-phase approximation. At long wavelengths $(q\ensuremath{\rightarrow}0)$, the plasmon dispersion shows the local classical behavior ${\ensuremath{\omega}}_{\mathit{cl}}={\ensuremath{\omega}}_{0}\sqrt{q}$, but the density dependence of the plasma frequency $({\ensuremath{\omega}}_{0}\ensuremath{\propto}{n}^{1∕4})$ is different from the usual 2D electron system $({\ensuremath{\omega}}_{0}\ensuremath{\propto}{n}^{1∕2})$. The wave-vector-dependent plasmon dispersion and the static screening function show very different behavior than the usual 2D case. We show that the intrinsic interband contributions to static graphene screening can be effectively absorbed in a background dielectric constant.

Subfields: Atomic and Molecular Physics, and Optics, Biomedical Engineering, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/80f5b8c08e27f06e6d01fdad5dcf39bcbb33e019

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In Atomic and Molecular Physics, and Optics

In Biomedical Engineering

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Citations in the corpus

Graphene-plasmon polaritons: From fundamental properties to potential applications (2016, methodology): “The optical conductivity σ(k//, ω) can be treated by using the nonlocal density-density response function [52, 53].”
Towards graphene plasmon-based free-electron infrared to X-ray sources (2015, background): “wavelength has been predicted [1, 26-28], with very recent work suggesting that much higher confinements are also achievable [29].”
Novel effects of strains in graphene and other two dimensional materials (2015, background): “Modelling the graphene charge carriers as non-interacting, massless fermions in the Dirac-cone approximation yields a universal conductivity of σ = e(2)/(4~) for all ω > 2EF /~ [155, 364].”
Raman characterization of defects and dopants in graphene (2015, background): “the plasmonic characteristics of graphene can be controlled [72, 118, 123].”