%0 Journal Article %T Optically and Electrically Tunable Dirac Points and Zitterbewegung in Graphene-Based Photonic Superlattices %A Hanying Deng %A Fangwei Ye %A Boris A. Malomed %A Xianfeng Chen %A Nicolae C. Panoiu %J Physics %D 2015 %I arXiv %R 10.1103/PhysRevB.91.201402 %X We demonstrate that graphene-based photonic superlattices provide a versatile platform for electrical and all-optical control of photonic beams with deep-subwavelength accuracy. Specifically, by inserting graphene sheets into periodic metallo-dielectric structures one can design optical superlattices that posses photonic Dirac points (DPs) at frequencies at which the spatial average of the permittivity of the superlattice, $\bar{ \varepsilon}$, vanishes. Similar to the well-known zero-$\bar{n}$ bandgaps, we show that these zero-$\bar{\varepsilon}$ DPs are highly robust against structural disorder. We also show that, by tuning the graphene permittivity via the optical Kerr effect or electrical doping, one can induce a spectral variation of the DP exceeding \SI{30}{\nano\meter}, at mid-IR and THz frequencies. The implications of this wide tunability for the photonic Zitterbewegung effect in a vicinity of the DP are explored too. %U http://arxiv.org/abs/1504.07473v1