Abstract:The versatile control of graphene's plasmonic modes via an external gate-voltage inspires us to design efficient electro-optical graphene plasmonic logic gates at the mid-infrared wavelengths. We show that these devices are superior to the conventional optical logic gates because the former possess both cutoff states and interferometric effects. Moreover, the designed 6 basic logic gates (i.e. NOR/AND, NAND/OR, XNOR/XOR) achieved not only ultra-compact size-lengths of less than λ/28 with respect to the operating wavelength of 10µm, but also a minimum extinction ratio of as high as 15dB. These graphene plasmonic logic gates are potential building blocks for future nanoscale mid-infrared photonic integrated circuits.In recent years, the mid-infrared wavelength is attracting a lot of research interests due to potential device applications in areas ranging from free-space telecommunications, sensing and medicine, to infrared countermeasures and reconnaissance [1,2]. One of the components which might be found ubiquitously in those devices would be the electronic logic for signal processing. However, due to its architecture, the electronic logic inherently experiences undesirable effects such as latency and racecondition glitches, which might compromise the safety and reliability of those devices.A better alternative would be to use the optical directed logic architecture [3], which has markedly-reduced gate propagation and state-change delays. The advantage of directed logic is prominently seen when logic gates are cascaded: because the gate and propagating signals are kept separate in directed logic, all gates can be switched simultaneously, very unlike electronic logic gates where their gate delays are cascaded. Consequently, the directed logic architecture can avoid many of the abovementioned undesirable effects associated with the electronic logic. Recently, a range of silicon-on-insulator optical logic gates has been designed based on the directed logic architecture, which includes the Mach-Zehnder interferometer (MZI) and microring resonator (MRR) types [4][5][6][7][8][9][10]. However, those logic gates have their own set of problems in certain logic-function implementations:In the AND/OR logic implementation for the MZI logic gate, there is a need for arbitrary definition of the ON/OFF threshold logic intensity levels [4,5]. This is due to the absence of cutoff states in the MZI logic gate architecture.(ii)The MRR logic gate is superior in the AND/OR logic implementation due to having cutoff states [7,9,10]. However, difficulties arise in the XOR/XNOR logic implementation due to its lack of interferometric effects. As such, implementing these logics in MRR would either require additional switches and/or strategic placement of the switches [6-8], or using two wavelength signals [9].In this Letter, we would like to introduce MZI-based graphene plasmonic logic gates as a common solution to the abovementioned problems. Specifically, we want to show that the graphene plasmonic MZI logic gate does not face ...