“…Roldan and Brey [31] showed that AA-stacked BLG exhibit both acoustic and optical plasmon modes. Their result for the optical plasmon mode (which is found to be gapless and disperse as q) is contrast to what was reported by Hwang and Das Sarma [32] for coupled bilayer structures and also is contrast to the results of Lin and coworkers that studied analytically the plasmon modes in pristine AA-stacked BLG in the absence [33] and the presence of a gate voltage [34]. In this paper, we extend the previous researches and investigate the effect of doping on the plasmon modes in AA-stacked BLG.…”
We study plasmon modes in doped AA-stacked bilayer graphene (BLG) within the nearest-neighbor tight-binding and the random phase approximation. We obtain closed analytical expressions for the polarizability function which are used to obtain the lowenergy dispersion relations of and the numerical results for both acoustic and optical plasmon modes. Our result reveal the potential of AA-stacked BLG to be used as a tunable plasmonic device. In particular we find that the long-wavelength acoustic plasmon disperse as ω + ≈ max(|µ|, t 1 )q with a phase space which shrinks and vanishes as the chemical potential approaches the interlayer hopping energy, preventing the existence of long-lived acoustic plasmon. Furthermore, we show that AA-stacked BLG support undamped optical plasmon only when the condition (1specially indicating the optical plasmon in undoped AA-staked BLG is Landau damped even at long-wavelength limit. We also find that the optical plasmon mode disperses as ω − ≈ ∆ + Cq 2 with constants that can be tuned by tuning the chemical potential.
“…Roldan and Brey [31] showed that AA-stacked BLG exhibit both acoustic and optical plasmon modes. Their result for the optical plasmon mode (which is found to be gapless and disperse as q) is contrast to what was reported by Hwang and Das Sarma [32] for coupled bilayer structures and also is contrast to the results of Lin and coworkers that studied analytically the plasmon modes in pristine AA-stacked BLG in the absence [33] and the presence of a gate voltage [34]. In this paper, we extend the previous researches and investigate the effect of doping on the plasmon modes in AA-stacked BLG.…”
We study plasmon modes in doped AA-stacked bilayer graphene (BLG) within the nearest-neighbor tight-binding and the random phase approximation. We obtain closed analytical expressions for the polarizability function which are used to obtain the lowenergy dispersion relations of and the numerical results for both acoustic and optical plasmon modes. Our result reveal the potential of AA-stacked BLG to be used as a tunable plasmonic device. In particular we find that the long-wavelength acoustic plasmon disperse as ω + ≈ max(|µ|, t 1 )q with a phase space which shrinks and vanishes as the chemical potential approaches the interlayer hopping energy, preventing the existence of long-lived acoustic plasmon. Furthermore, we show that AA-stacked BLG support undamped optical plasmon only when the condition (1specially indicating the optical plasmon in undoped AA-staked BLG is Landau damped even at long-wavelength limit. We also find that the optical plasmon mode disperses as ω − ≈ ∆ + Cq 2 with constants that can be tuned by tuning the chemical potential.
“…h(h 0 , h 00 , h 000 ) is c or v, respectively, represent the conductionband states or the valence-band states. The effective screened Coulomb potential, being characterized by the dielectric function 3, [36][37][38][39][40]44,47 (2)…”
“…Under the Born approximation, the effective energy loss function is characterized by the inelastic scattering probability of the incident electron beam. It has been very successfully in understanding the diverse electronic excitation spectra in layered systems, e.g., AA-, [21][22][23][24] AB- [24,27,28] and ABC-stacked graphenes. [29] The magnetoplasmon is discussed in this book by the development of the modified RPA and the generalized Peierls tight-binding model.…”
Section: Introductionmentioning
confidence: 99%
“…[30,93] These are predicted to induce the novel Coulomb excitation phenomena in pristine and extrinsic systems. AAA stacking has one acoustic plasmon mode and (N − 1) optical ones, [22,23] in which the former and the latter, respectively, originate from the intraband and the interband electronic excitations. An electric field obviously results in the charge transfer among the different graphene layers; therefore, it could modulate the number, frequency and intensity of collective excitation modes, e.g., the emergence of new plasmon modes and the decline of threshold plasmon frequency.…”
The layered graphene systems exhibit the rich and unique excitation spectra arising from the electron-electron Coulomb interactions. The generalized tight-binding model is developed to cover the planar/buckled/cylindrical structures, specific lattice symmetries, different layer numbers, distinct configurations, one-three dimensions, complicated intralayer and interlayer hopping integrals, electric field, magnetic quantization; any temperatures and dopings simultaneously. Furthermore, we modify the random-phase approximation to agree with the layer-dependent Coulomb potentials with the Dyson equation, so that these two methods can match with other under various external fields. The electron-hole excitations and plasmon modes are greatly diversified by the above-mentioned critical factors; that is, there exist the diverse (momentum. frequency)-related phase diagrams. They provide very effective deexcitation scatterings and thus dominate the Coulomb decay rates. Graphene, silicene 1 arXiv:1901.04160v1 [physics.comp-ph] 14 Jan 2019 and germanene might quite differ from one another in Coulomb excitations and decays because of the strength of spin-orbital coupling. Part of theoretical predictions have confirmed the experimental measurements, and most of them require the further examinations. Comparisons with the other models are also made in detail.
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