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 calculate the low-energy dispersion relations of and the numerical results for both acoustic and optical plasmon modes. Our results 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 disperses as ${\omega }_{+}\approx \sqrt{max(|\mu |,t_1)q/\kappa }$ 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 long-lived optical plasmon only when the condition ${(1+\frac{g_s{g}_v{e}^2{t}_{1}d}{\kappa v_F^2}\frac{|\mu |}{t_1})}^{1/2}<\frac{|\mu |}{t_1}$ is satisfied, specially indicating Landau damping of the optical plasmon in undoped AA-staked BLG even at long-wavelength limit. We also find that the optical plasmon mode disperses as ω₋ ≈ Δ + Cq² with constants that can be tuned by tuning the chemical potential.

我们研究了最近邻紧束缚和随机相位近似内的掺杂 AA 堆叠双层石墨烯 (BLG) 中的等离子体模式。我们获得了极化函数的闭合解析表达式，用于计算声学和光学等离子体模式的低能量色散关系和数值结果。我们的结果揭示了 AA 堆叠 BLG 用作可调等离子体装置的潜力。特别是我们发现长波长声学等离子激元分散为${\omega }_{+}\approx \sqrt{米\mathrm{一种}X(|\mu |,{吨}_1)q/\kappa }$随着化学势接近层间跳跃能量，相空间会缩小并消失，从而阻止了长寿命的声学等离子体的存在。此外，我们表明 AA 堆叠的 BLG 仅在以下条件下才支持长寿命的光学等离子体${(1+\frac{G_{秒}{G}_v{\mathrm{电子}}^2{吨}_{1}d}{\kappa v_F^2}\frac{|\mu |}{{吨}_1})}^{1/2}<\frac{|\mu |}{{吨}_1}$满足，特别是表明即使在长波长限制下，未掺杂的 AA 桩 BLG 中的光学等离子体的朗道阻尼。我们还发现光学等离子体模式以ω ₋  ≈ Δ +  Cq ^{2 的形式}分散，其常数可以通过调节化学势来调节。