A semiconductor device 10 comprises a heterojunction between a lower semiconductor layer 26 made of p-type gallium nitride and an upper semiconductor layer 28 made of n-type AlGaN, wherein the upper semiconductor layer 28 has a larger band gap than the lower semiconductor layer 26. The semiconductor device 10 further comprises a drain electrode 32 formed on a portion of a top surface of the upper semiconductor layer 28, a source electrode 34 formed on a different portion of the top surface of the upper semiconductor layer 28, and a gate electrode 36 electrically connected to the lower semiconductor layer 26. The semiconductor device 10 can operate as normally-off.