A semiconductor circuit includes a plurality of semiconductor devices, each including a semiconductor islands having at least one electrical dopant atom and located on an insulator layer. Each semiconductor island is encapsulated by dielectric materials including at least one dielectric material portion. Conductive material portions, at least one of which abut two dielectric material portions that abut two distinct semiconductor islands, are located directly on the at least one dielectric material layer. At least one gate conductor is provided which overlies at least two semiconductor islands. Conduction across a dielectric material portion between a semiconductor island and a conductive material portion is effected by quantum tunneling. The conductive material portions and the at least one gate conductor are employed to form a semiconductor circuit having a low leakage current. A design structure for the semiconductor circuit is also provided.