3. Results
Using the 0.15 µm planar-gate HEMT with Si
3N
4 passivation as the baseline, the impact of the air gap gate was evaluated. The L
Gate_Foot of 0.15 µm is considered optimal for RF performance analysis, as it enhances the cutoff frequency by shortening the electron transit path while mitigating the strong short-channel effects that arise when the gate length falls below 0.1 µm [
32]. To confirm its effectiveness in reducing gate capacitance, the gate-to-source capacitance (
) was simulated at V
DS = 20 V and V
GS = −3.3 V.
Figure 7a depicts the simulated
as a function of frequency, while
Figure 7b illustrates its constituent components. Introducing the air gap gate reduces
by approximately 30% compared to the baseline device. As depicted in
Figure 7b, C
gs1 represents the interelectrode capacitance between the source and gate, whereas C
gs2 arises from depletion beneath the gate and reflects coupling between the gate and source through the 2DEG [
33]. With the air gap gate, C
gs1 remains constant, while C
gs2 decreases (denoted as C
gs2′) due to the replacement of part of the Si
3N
4 passivation with lower permittivity air. This reduction in
leads to the overall decrease in
as follows:
where
denotes the transconductance, and
represents the gate-to-drain capacitance, which can be neglected.
Figure 8a presents
for the baseline and air gap gate under identical bias conditions (V
DS = 20 V, V
GS = −3.3 V). The baseline records 28.91 GHz, while the air gap gate attains 35.82 GHz, corresponding to a 23.9% enhancement. Since
is governed by both
and
, the influence of the air gap gate on I
DS–V
GS transfer characteristics was also analyzed.
Figure 8b compares the I
DS–V
GS transfer characteristics of the baseline and air gap gate at V
DS = 10 V. The air gap gate causes a minor Vth shift from −3.92 V to −3.94 V, while I
dss and G
m increase substantially to 980.09 mA/mm (3.7%) and 386.88 mS/mm (10.27%), respectively, from 945.16 mA/mm and 350.85 mS/mm.
Table 4 summarizes the 2DEG concentration for the baseline and air gap gate. The air gap gate shows a 13.56% increase, reaching 3.2 × 10
12 cm
−2. The higher 2DEG density enhances current transport, raising I
dss, while also improving G
m by enabling gate voltage variations to more effectively modulate the drain current [
34].
The change in 2DEG concentration arises from the permittivity variation introduced by the modified passivation scheme.
Figure 9a compares the electric field in the AlGaN/GaN heterostructure for the baseline and air gap gate, while
Figure 9b schematically depicts its influence on 2DEG concentration at the AlGaN/GaN interface. In the air gap gate, replacement of part of the Si
3N
4 passivation with air redistributes the electric field due to the permittivity contrast between the two materials [
35]. Part of the electric field is distributed into the lower-permittivity air (
Figure 9a), reducing the field across the AlGaN barrier relative to the baseline. Intrinsic polarization charges remain constant as they are determined by spontaneous and piezoelectric polarization. However, this modified vertical electric field distribution less effectively counteracts the polarization-induced internal field [
36], allowing for a higher 2DEG accumulation at the AlGaN/GaN interface compared to the baseline. Consequently, the air gap gate structure supports a higher 2DEG concentration [
37].
The air gap gate alters both electrical and thermal behavior. Since air has low thermal conductivity, it impedes channel heat dissipation and introduces thermal challenges. To mitigate these effects, the air gap gate is combined with a high-conductivity AlN passivation layer.
Figure 10a represents the simulated device temperature in the on-state (V
GS = 0 V) for 50 µs at V
DS = 10 V, while
Figure 10b shows simulated temperature variation over five on-off cycles (V
GS = 0 V and V
GS = −5 V) with a 1 µs period at V
DS = 10 V.
Table 5 summarizes the average on-state operating temperature (T
ON) for 50 µs from
Figure 10a and the average temperature difference (ΔT
range) between maximum and minimum values over the five cycles from
Figure 10b.
During prolonged on-state operation (
Figure 10a), the air gap gate shows a T
ON 3.3% (12.19 K) higher than the baseline. Under repetitive cycling (
Figure 10b), its ΔT
range averaged over five cycles is 8.81% (4.25 K) greater. Elevated T
ON degrades performance, while larger ΔT
range shortens device lifetime and stability. Incorporating AlN passivation alleviates this thermal degradation. With AlN, the air gap gate records a T
ON only 0.6% (2.22 K) above the baseline, representing a 2.62% (9.97 K) improvement over the air gap with Si
3N
4 passivation. Likewise, average ΔT
range rises by only 0.44% (0.21 K) relative to the baseline, improving by 7.69% (4.03 K) compared with the air gap gate.
As shown in
Figure 10a, the maximum device temperature rises rapidly after turn-on and saturates within ~5 µs, indicating that thermal generation and dissipation have reached thermal equilibrium. This observation is consistent with previous studies reporting that device heating begins within ~70 ns after turn-on and that the transient temperature evolution in GaN-on-SiC HEMTs is completed within ~10 µs [
38,
39]. Therefore, a 50 µs observation is sufficiently long to capture the transient response and the saturated T
ON.
Figure 11a represents the simulated device temperature of three structures in the on-state (V
GS = 0 V) for 100 µs at V
DS = 10 V, while
Figure 11b shows the simulated device temperature of the baseline in the on-state (V
GS = 0 V) for 500 µs at V
DS = 10 V.
Table 6 summarizes the average T
ON for 100 µs from
Figure 11a. As the on-state duration increases, the initial heating stage (~5 µs after turn-on) becomes relatively shorter. Consequently, the average T
ON converges to the saturated T
ON. With AlN, the air gap gate records average T
ON 1.78% (6.88 K) above the baseline, representing a 1.45% (5.76 K) improvement over the air gap with Si
3N
4 passivation for 100 µs. The thermal improvement is more pronounced during short switching, which is acceptable considering the typical short on-times of GaN HEMTs [
40]. Furthermore, as indicated in
Figure 11b, when the on-state was extended tenfold to 500 µs, the T
ON differed by only 1.17 K (0.30%) after 50 µs for baseline.
Nonetheless, the air gap gate also modified electrical behavior, necessitating evaluation of whether these differences arise from improved thermal management or increased Joule heating due to higher drain current. Thermal resistance (
) values derived from the transient thermal response range from 10.89 to 11.24 K·mm/W for all three structures, falling within the reported range for measured devices (9 to 14 K·mm/W) [
41,
42,
43,
44].
Figure 12 presents the device temperature under power dissipation. The air gap gate shows higher temperatures than the baseline under identical power, with increases of 1.94 K (0.48%) at 10 W/mm, and 13.59 K (2.91%) at 15 W/mm, indicating worsening thermal degradation at higher power densities. AlN passivation mitigates this effect: relative to the baseline, the air gap gate with AlN shows a 1.99 K (0.49%) decrease at 10 W/mm and a 6.29 K (1.56%) increase at 15 W/mm. Compared with an air gap gate with Si
3N
4 passivation, AlN improves heat dissipation by 3.93 K (0.96%) at 10 W/mm and by 7.3 K (1.31%) at 15 W/mm, demonstrating greater benefit at higher power densities.
where
represents the device temperature rise, and
denotes the power dissipation.
Using the linear portion of the ΔT versus
plot in
Figure 13a–c, the
of the three structures was calculated. Two distinct linear regions were used to extract
values, which are summarized in
Table 7. All extracted values fall within the experimentally reported range for GaN-on-SiC HEMTs (9–14 K·mm/W), confirming the reliability of the simulation results [
41,
42,
43,
44].
The air gap gate increases by 0.07 K·mm/W (0.71%) in Region 1 and 1.81 K·mm/W (14.57%) in Region 2 relative to the baseline. The difference between regions () rises by 1.74 K·mm/W (68.24%), indicating degraded heat dissipation and reduced thermal stability. Incorporating AlN passivation mitigates this degradation, yielding slightly lower thermal resistance of 0.19 K·mm/W (1.93%) in Region 1 and a smaller increase of 1.25 K·mm/W (10.06%) in Region 2 compared to the baseline. This represents improvements of 0.26 K·mm/W (2.62%) in Region 1 and 0.56 K·mm/W (3.94%) in Region 2 relative to the air gap gate with Si3N4 passivation. In addition, ΔRTh is also reduced by 0.3 K·mm/W (6.99%), reflecting enhanced thermal stability.
Finally, temperature distribution within the device, which strongly affects the device lifetime, was analyzed [
45].
Figure 14a presents lattice temperature in the 2DEG channel at 10 W/mm, and
Figure 14b provides the corresponding boxplot. The local temperature difference between the hottest and coolest points in the 2DEG channel was 38.25 K for the baseline, 39.58 K for the air gap gate, and 33.47 K for the air gap gate with AlN passivation. The air gap gate exhibited 1.33 K (3.47%) greater localized heating than the baseline. In contrast, the high thermal conductivity of AlN passivation enabled the passivated air gap gate to distribute heat more uniformly, reducing the temperature difference by 4.78 K (12.5%) relative to the baseline and by 6.11 K (15.44%) compared to the air gap gate with Si
3N
4 passivation. These results confirm that AlN passivation effectively mitigates the thermal limitations of the air gap gate. To ensure that the enhancement of RF performance is preserved, the
and
of all three structures were also analyzed.
Figure 15a shows
at V
DS = 20 V and V
GS = −3.3 V, while
Figure 15b illustrates its constituent components.
Figure 15c presents the corresponding
of the three structures under the same conditions. The air gap gate with AIN passivation exhibits an
of 33.96 GHz, 1.86 GHz (5.19%) lower than the air gap gate with Si
3N
4 passivation. This reduction (
Figure 15b,c) results from an increase in interelectrode capacitance (C
gs1) between the gate and source, caused by the higher permittivity of AlN (denoted as C
gs1′). However, the influence of C
gs1 remains minor relative to C
gs2 [
33]. Consequently, the total
for the AIN-passivated air gap gate remains ~25.61% lower than the baseline, yielding an
5.05 GHz (17.47%) higher than the baseline and demonstrating a significant enhancement in RF performance.
The impact of AlN passivation on DC characteristics was also evaluated.
Figure 16 compares the I
DS–V
GS transfer characteristics of the air gap gate with AlN passivation at V
DS = 10 V. The Vth remained at −3.94 V, while I
dss increased slightly to 983.72 mA/mm and G
m decreased marginally to 385.85 mS/mm. These changes of 0.27% and 0.37%, respectively, are negligible, indicating that AlN passivation does not significantly affect the DC performance of the air gap gate.