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Dynamical polarization of graphene at finite doping

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Wunsch, B, Stauber, T, Sols, F, Guinea, F·2006·New Journal of Physics

Abstract

The polarization of graphene is calculated exactly within the random phase approximation for arbitrary frequency, wavevector and doping. At finite doping, the static susceptibility saturates to a constant value for low momenta. At q = 2 k F it has a discontinuity only in the second derivative. In the presence of a charged impurity this results in Friedel oscillations which decay with the same power law as the Thomas–Fermi contribution, the latter being always dominant. The spin density oscillations in the presence of a magnetic impurity are also calculated. The dynamical polarization for low q and arbitrary ω is employed to calculate the dispersion relation and the decay rate of plasmons and acoustic phonons as a function of doping. The low screening of graphene, combined with the absence of a gap, leads to a significant stiffening of the longitudinal acoustic lattice vibrations.

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Metadata

Authors
Wunsch, B., Stauber, T., Sols, F., & Guinea, F.
Venue
New Journal of Physics
Published
2006-12-14
Volume
8
Issue
12
Pages
318-318
ISSN
1367-2630 (ISSN-L)
OpenAlex
W2079480403
Cited by
1,097
References
5
FWCI
14.32
Type
journal article
Language
en
Open access
gold

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CoChat. (2026). Citation check: Dynamical polarization of graphene at finite doping. https://app.cochat.ai/papers/10.1088/1367-2630/8/12/318
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Wunsch, B., Stauber, T., Sols, F., & Guinea, F. (2006). Dynamical polarization of graphene at finite doping. New Journal of Physics. https://doi.org/10.1088/1367-2630/8/12/318

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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