A thin film transistor comprises a semiconductor layer; first and second dielectric layers disposed on opposite sides of the semiconductor layer; a first metal layer forming first and second terminals on the opposite side of the first dielectric layer from the semiconductor layer, one of said first and second terminals extending through said first dielectric layer into contact with the semiconductor layer, the first and second terminals and the first dielectric layer forming a capacitor; and a second metal layer forming a third terminal on the opposite side of the second dielectric layer from the semiconductor layer. The first and second terminals may be source and drain terminals, and the third terminal may be a gate terminal. The first metal layer may be divided to form the first and second terminals. The third terminal may be shared with one of the first and second terminals.