In this paper, we present a detailed investiga-1 tion of the impact of fin width (w fin) on tri-gate AlGaN/GaN 2 metal-oxide-semiconductor high electron mobility transis-3 tors (MOSHEMTs). As w fin is reduced, the threshold volt-4 age (V TH) increases, which is due to the enhanced gate 5 control (especially for w fin < 200 nm) thanks to the 3-D 6 geometry of the tri-gate, and the reduced carrier concen-7 tration (N s) caused by a more pronounced strain relax-8 ation and sidewall depletion, as explored using Hall and 9 capacitance-voltage (C-V) measurements. The normally-10 OFF operation was achieved for w fin close to the sidewall 11 depletion width (w dep) of 19.5 nm, since the fin is depleted 12 from its two sidewalls. The impact of w fin on ON-resistance 13 (R ON) and current capability (I D,max) was also investigated, 14 along with the influence of the effective source injection, 15 the trench conduction and the filling factor (FF) on these 16 key characteristics. The degradation caused by the tri-gate 17 fin etching could be fully recovered by increasing the FF. 18 Finally, we show that the tri-gate can reduce gate capac-19 itance (C G) and charge (Q G) in normally-ON MOSHEMTs, 20 depending on the design of the tri-gate and the gate voltage 21 (V G), leading to a smaller R ON • Q G product that is benefi-22 cial for high-frequency switching applications. The results 23 in this paper offer insights into important phenomena in 24 tri-gate GaN devices and are fundamental for the further 25 advance of this technology. 26 Index Terms-Drain current, fin width, GaN, gate capaci-27 tance, threshold voltage, tri-gate. 28 I. INTRODUCTION 29 T RI-GATE technologies have recently attracted consider-30 able attention for lateral GaN electronic devices [1]-[20], 31 thanks to many advantages over conventional planar gates. 32 First, the V TH in tri-gate GaN metal-oxide-semiconductor 33 high electron mobility transistors (MOSHEMTs) increases 34 as w fin decreases, hence, the normally-OFF operation can be 35