Plasmonic Zitterbewegung in binary graphene sheet arrays.

We theoretically investigate the plasmonic Zitterbewegung (ZB) effect in binary graphene sheet arrays (GSAs). The surface plasmon polariton (SPP) modes of two minibands are realized by alternately varying the chemical potentials of individual graphene sheets in the arrays. Numerical simulations show that SPPs in the array experience characteristic trembling motion. The oscillating periods of the plasmonic ZB are strongly dependent on the propagation constant mismatch and varied in the range of micrometer, while the amplitude reaches tens of nanometers, making the ZB effect easier to be observed in practice.