“…For example, based on the measured N values before and after EPA treatment (at 7 V), the barrier width (W) was calculated to be 49.6 nm and 41.0 nm, respectively, according to W = [(2e s /N)(U b À V p )] 1/2 , where e s is the dielectric constant of GaN, qU b is the Schottky barrier height, and V p is the energy difference between the Fermi level (E F ) and the valence band (E V ). Here, qU b was estimated using the relation of qU b = qu + E D0 , where E D0 = 1.84 eV [17,18]. Therefore, the improved ohmic contact was due to reduced barrier width associated with an increase in hole carriers, as depicted in the inset of Fig.…”