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We study all-carbon-hydrogen molecular transistors where zigzag graphenenanoribbons play the role of three metallic electrodes connected to aring-shaped 18-annulene molecule. Using the nonequilibrium Green functionformalism combined with density functional theory, recently extended tomultiterminal devices, we show that the proposed nanostructures exhibitexponentially small transmission when the source and drain electrodes areattached in a configuration that ensures destructive interference of electronpaths around the ring. The third electrode, functioning either as an attachedinfinite-impedance voltage probe or as an "air-bridge" top gate covering halfof molecular ring, introduces dephasing that brings the transistor into the"on" state with its transmission in the latter case approaching the maximumlimit for a single conducting channel device. The current through the latterdevice can also be controlled in the far-from-equilibrium regime by applying agate voltage.

physical review letters

Quantum-interference-controlled three-terminal molecular transistors  based on a single ring-shaped-molecule connected to graphene nanoribbon  electrodes