A method of forming a gate insulator in the manufacture of a semiconductor device comprises conducting a photo-assisted electrochemical process to form a gate-insulating layer on a gallium nitride layer of the semiconductor device, wherein the gate-insulating layer includes gallium oxynitride and gallium oxide, and performing a rapid thermal annealing process. The photo-assisted electrochemical process uses an electrolyte bath including buffered CH3COOH at a pH between about 5.5 and 7.5. The rapid thermal annealing process is conducted in O2 environment at a temperature between about 500° C. and 800° C.