A method of fabricating a nanotube field-effect transistor having unipolar characteristics and a small inverse sub-threshold slope includes forming a local gate electrode beneath the nanotube between drain and source electrodes of the transistor and doping portions of the nanotube. In a further embodiment, the method includes forming at least one trench in the gate dielectric (e.g., a back gate dielectric) and back gate adjacent to the local gate electrode. Another aspect of the invention is a nanotube field-effect transistor fabricated using such a method.