Dynamical polarization of graphene at finite doping
By B. Wűnsch, T. Stauber, F. Sols, Francisco Guinea. 2006
893 citations recorded by the source corpus.
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 = 2kF 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.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/1c79720e23ed9008afa0e21f37448649069e12b1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atomic and Molecular Physics, and Optics
In Materials Chemistry
Citations in the corpus
- Electronic transport in two-dimensional graphene (2010, background): “(a) graphene: The polarizability is given by the bare bubble diagram (Ando, 2006; Hwang and Das Sarma, 2007; Wunsch et al., 2006) Π(q, T ) = − g A ∑ kss′ fsk − fs′k′ εsk − εs′k′ Fss′(k,k ′), (3.7) where s = ±1 indicate the conduction (+1) and valence (−1) bands, respectively, k′ = k + q, εsk = s~vF…”
- Graphene plasmon waveguiding and hybridization in individual and paired nanoribbons. (2012, background): “32 Additionally, an excess of electrons or holes in doped graphene can produce collective plasmon oscillations, similar to those in noble metals.(15) 18 However, compared to conventional plasmonic materials (e.”
- Polaritons in layered two-dimensional materials. (2016, background): “These occur when the plasmon energy is roughly twice the Fermi energy[66].”
- Electronic properties of graphene in a strong magnetic field (2010, background): “15(b), reveals the characteristic coherent 2D plasmon mode, which corresponds to the solution of the implicit equation εRPA(q, ωpl) = 0 and the dispersion relation of which reads ωpl(q) ≃ √ 2e2ǫF ~2ε q (162) in the small-q limit (Shung, 1986; Wunsch et al., 2006).”
- The electronic properties of graphene (2007, background): “This polarization function has been also calculated in the presence of a finite chemical potential (Ando, 2006b; Hwang and Das Sarma, 2007; Shung, 1986a,b; Wunsch et al., 2006).”
- 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].”