A mesa gate structure consisting of Zn-doped GaN (GaN:Zn) enables the normally off operation of AlGaN/GaN heterostructure field-effect transistors (HFETs) grown on an Si substrate. A back-gate structured transistor was prepared to estimate the energy level of Zn (ET) within the energy band of GaN. The test device comprises AlGaN, GaN, GaN:Zn, and buffer layers on an Si wafer working as the back-side gate; the current transient was measured after a negative bias was applied to the gate. This experiment reveals ET − EV = 0.32 eV, where EV is the valence band maximum of GaN, meaning that the Fermi level lies near Ev, as in p-type materials. Thus, a transistor equipped with a mesa-shaped gate structure with a Zn concentration of 1.2 × 10 19 cm -3 achieves a gate-source voltage (Vgs) of +0.5 V at a drain current (id) of 10 μA・mm -1 , and Vgs > 0 V even at id = 10 nA・mm -1 .