A method to fabricate a novel graphene based, electrically tunable, nanoconstriction device is described. The device includes a back-gate dielectric layer formed over a conductive substrate. The back-gate dielectric layer is, in one example, hexagonal boron nitride, mica, SiOx, SiNx, BNx, HfOx or AlOx. A graphene layer is an AB-stacked bi-layer graphene layer, an ABC-stacked tri-layer graphene layer or a stacked few-layer graphene layer. Contacts are formed over a portion of the graphene layer including at least one source contact, at least one drain contact and at least one set of side-gate contacts. A graphene channel with graphene side gates is formed in the graphene layer between the at least one source contact, the at least one the drain contact and the at least one set of side-gate contacts. A top-gate dielectric layer is formed over the graphene layer. A top-gate electrode is formed on the top-gate dielectric layer.