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Plasmons in electrostatically doped graphene
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View: Figures


Image of FIG. 1.
FIG. 1.

Electrostatic doping and plasmon modes in backgated graphene ribbons. (a) Average Fermi energy as a function of width-to-distance ratio W/d, normalized to the value obtained in the limit. The upper inset shows the distribution across the ribbon, normalized to . The lower inset shows a sketch of the geometry. (b) Frequency of the dipolar and quadrupolar plasmons, normalized to , as obtained from the Drude model. The insets show the surface charge-density oscillating at frequency and corresponding to these plasmons (vertical axis) as a function of position across the ribbon (horizontal axis). The dashed curves indicate the limit.

Image of FIG. 2.
FIG. 2.

Plasmons in pairs of co-planar parallel graphene ribbons of opposite polarity. (a) Fermi energy distribution across pairs of ribbons for different ratios of the ribbon width W to the gap distance d. The ribbons are placed at potentials −V and V, respectively (see inset), and the Fermi energy is normalized to the value . (b) Frequency of the dipolar and quadrupolar modes as a function of W/d, normalized to . Solid (dashed) curves correspond to inhomogeneous (uniform) doping. The insets show the plasmon charge-density associated with both modes (vertical axis) as a function of position across the ribbon on the right (horizontal axis, with the position of the gap indicated by an arrow) for W/d = 0.2, 1, 3, and 10 (curves evolving in the direction of the arrows).

Image of FIG. 3.
FIG. 3.

Plasmons in individual ribbons subject to a uniform external electric field . (a) Fermi energy distribution normalized to . The inset shows a sketch of the geometry. (b) Surface charge associated with the dipolar plasmon mode (solid curve). The plasmon frequency is, where . The dashed curve shows thecharge density profile for a uniform doping density (i.e., ). (c) Plasmon dispersion diagram representing the dependence of the density of optical states on frequency and wave vector parallel to the ribbon . (d) Same as (c) for uniform doping.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Plasmons in electrostatically doped graphene