Transparent ohmic contacts to p-GaN and other high-work-function (≧4.2 eV) semiconductors are fabricated from zinc stannate (e.g., ZnSnO3). ZnO and SnO2 may be sputtered from separate targets and annealed to form the zinc stannate. The Zn:Sn ratio may be tuned over the range between 1:2 and 2:1 to optimize bandgap, work function, conductivity, and transparency for the particular semiconductor and wavelength of interest. Conductivity may be improved by crystallizing the zinc stannate, by doping with up to 5 wt % Al or In, or both.