Tunable plasmon modes in doped AA-stacked bilayer graphene

Abstract

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 low-energy 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 ${\omega }_{+}\approx \sqrt{max(|\mu |,t_1)q}$ 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 coherent optical plasmon only when the condition $(1+\frac{g_{\sigma }{g}_v{e}^2{t}_{1}d}{\kappa v_F^2}\frac{|\mu |}{t_1}{)}^{1/2}<\frac{|\mu |}{t_1}$ 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 ${\omega }_{-}\approx \Delta +C{q}^2$ with constants that can be tuned by tuning the chemical potential.

arXiv comment25 pages, 6 figures. Comments are welcome

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