3.1. Frequency-dependent C–V measurementsFigure 2 shows the typical capacitance–voltage (Cm–V) and conductance–voltage (Gm–V) curves of the Al2O3/AlGaN/GaN HEMTs at given frequencies from 50 kHz to 1 MHz. The measurement equivalent circuit is modeled as the parallel-connected capacitance Cm and conductance Gm as indicated in the inset of Fig. 2. Two capacitance plateaus can be clearly seen, featuring two sharp transitions from accumulation to depletion at about 3.0 V and −3.4 V. The capacitance plateau in the forward bias region represents the Al2O3 dielectric capacitance (
), and the capacitance plateau in the reverse bias region corresponds to the total capacitance (Ctotal) of the Al2O3 dielectric and the AlGaN barrier. The significant frequency dispersion of the Cm and Gm at the two step-like profiles can be observed in Fig. 2 due to a number of interface traps at both the Al2O3/AlGaN and AlGaN/GaN interface.[12,23,25] When the gate is driven with a forward bias, the AlGaN/GaN heterojunction interface traps are far below the Fermi level, thus only the Al2O3/AlGaN interface traps can respond to the ac signal. Similarly, in the reverse bias region, only the AlGaN/GaN interface traps are able to make a contribution to the frequency dispersion, whereas the response of the Al2O3/AlGaN interface traps is excluded. Therefore, the traps at the Al2O3/AlGaN and the AlGaN/GaN interface can be characterized separately.
The trapping and de-trapping process of Al2O3/AlGaN interface trap states can be modeled as a combination of series-connected trap-related resistance (Rit) and capacitance (Cit) with a parallel-connected semiconductor capacitance (Cs). With the response of AlGaN/GaN interface traps excluded, the equivalent circuit in the forward bias region can be plotted as shown in Fig. 3(a). The semiconductor capacitance Cs represents the total capacitance of the AlGaN barrier layer and the GaN buffer layer. The capacitance of the GaN cap layer and the AlN interlayer are neglected since they are very thin. Besides, the parasitic resistance Rs is also included in the circuit. This full equivalent circuit can be transformed into a simplified model as shown in Fig. 3(b). In the circuit, the electrical behavior of Al2O3/AlGaN interface trap state is modeled by parallel-connected conductance Gp and capacitance Cp.
Assuming that energy level, trap state time constant
, and trap density DT can be evaluated by fitting the parallel conductance
as a function of the radial frequency (
) according to the following equation[31]
The parallel conductance
can be obtained from the measured capacitance
Cm and conductance
Gm by from the following relation
[25]For the AlGaN/GaN interface traps, the trap state time constant
and trap density
DT can be obtained using the same method,
i.e., using
Ctotal to replace
in Fig.
3 and Eq. (
2). The value of
and
Ctotal can be explicitly determined from the plateaus in
Cm–
V curve in Fig.
2.
Based on the experimental results in Fig. 2, two ranges of gate bias are selected in the vicinity of respective threshold voltage (around 3.0 V and −3.4 V) to conduct the frequency-dependent capacitance and conductance measurement, where the frequency dispersion is obvious. Figure 4 shows the plots of
versus radial frequency at selected gate biases, obtained according to Eq. (2). Each plot of
versus ω gives a peak for a corresponding gate bias, implying that the contributions of interface traps near the conduction band edge possess different values of time constant (
) and density (DT). The fitting curves based on Eq. (1) are shown as full lines in Fig. 4, from which the trap state time constant
and trap density DT at each gate bias can be extracted directly.
Figure 5(a) shows the plots of trap state time constant (
) versus gate voltage evaluated from the
measurement. It can be seen from the figure that the values of time constant (
) almost exponentially decrease with gate voltage increasing from
to
for the Al2O3/AlGaN interface traps and from
to
for the AlGaN/GaN interface respectively. It should be noted that the trap states at the Al2O3/AlGaN interface are mainly slow traps, and a time constant is about one order of magnitude larger than that at the AlGaN/GaN interface. The trap state density as a function of the corresponding energy level below the conduction band is plotted in Fig. 5(b). The trap state energy ET is derived from the following expression:
where capture cross section of trap state
, the density of states in the conduction band
, and the average thermal velocity of the carriers
have proved valid.
[39] The trap density
DT apparently decreasing from
to
can be seen, when the trap energy
ET increases from 0.27 eV to 0.31 eV for the AlGaN/GaN interface traps. The trap density
DT is dependent on trap energy
ET, and the lower the trap energy
ET, the higher the trap density
DT is. It indicates that the trap with lower trap energy can easily capture electrons. The traps at the Al
2O
3/AlGaN interface are deeper, located in a range of 0.33 eV–0.38 eV below the conduction band edge. Comparing with the AlGaN/GaN interface, the trap density keeps a much higher value in the whole trap energy range of about
. The trap density
DT is independent of trap energy
ET, indicating that the ability to capture electron is independent of trap energy
ET.
3.2. Photo-assisted C–V measurementsDue to the limited frequency range (10 kHz to 10 MHz) utilized in this paper, only the interface traps located in the range from 0.21 eV to 0.39 eV can be detected according to Eq. (3). In order to investigate the deeper interface states near the mid-gap, photo-assisted C–V measurement is introduced. Figure 6 shows the typical variation of capacitance with time increasing from 0 s to 1100 s at 100 kHz under light illumination. During the measurement the gate voltage is kept at a constant value of −4.5 V and the light source with a wave length of 465 nm is turned on and off alternately. It can be observed that the capacitance increases sharply right after the light has been turned on and the enhancement in the capacitance can persist for a long period after the light has been turned off, which is very similar to the persistent photoconductivity (PPC) effect.[40] Under the light illumination, the electrons are photo-excited from the deep-level donors and cause the capacitance to quickly increase. Since the recombination of electrons and ionized deep-level donors is prevented from happening by the local potential barrier, the capacitance exhibits a slower decrease after the light excitation has ended.
Based on the capacitance transient properties, photo-assisted C–V measurements are performed. Before the light illumination the C–V hysteresis property of the device is measured from −8 V to 5 V in dark at a frequency of 100 kHz. Then the sample is illuminated for 60 s while the bias is kept at −8 V, and the trapped electrons from deep-level trap states are emitted as depicted in Fig. 7(a). Afterwards, the light is turned off and the device is swept from −8 V towards 5 V immediately. In the present investigation, the C–V curves are recorded under the wave length of incident light varying from 520 nm to 400 nm. As shown in Fig. 7(b), the sharp transition at the reverse bias region exhibits a clear parallel shift towards the negative bias direction after light illumination, while the shift in the forward bias region is less apparent. Since the light illumination with the shorter wave length can cause the relatively deeper states to ionize, the resulting gate voltage negative shift is also larger. The amount of the voltage shift increases from 1.0 V to 2.4 V as the wave length of the incident light decreases from 520 nm to 400 nm, which can be seen in Fig. 7(b).
The photon illumination with the higher energy causes the interface states to ionize in a wider energy. This results in a larger number of photo-ionized interface states, leading to the larger voltage shift in C–V curves as shown in Fig. 7. The state density of the near mid-gap traps can be estimated by using the difference between two voltage shifts with different wave lengths,
, from the following equation[38]
where
Ctotal is the series capacitance of Al
2O
3 and AlGaN,
is the difference between two photo energies (
), and
is the average activation energy (
/2). The capacitance
Ctotal can be obtained from Fig.
2, and the photo energy can be calculated from
. As shown in Fig.
8, a trap density
Dit varying from
to
located at
EAV of 2.53 eV–3.01 eV below the conduction band edge is derived. It is considered that the deep trap sites which are located at about 2.53 eV–3.01 eV from the conduction band edge are attributed to the GaN oxidation due to O
3 plasma. According to previous studies,
[41–45] vacancy-type defects such as nitrogen vacancy (V
N) and gallium vacancy (V
Ga) are located around 0.24 eV and 2.62 eV from the conduction band edge, respectively. Furthermore, oxygen at a nitrogen site (O
N) and its complex with V
Ga (V
Ga–O
N) are located around 0.5 eV and 2.3 eV–3.3 eV from the conduction band edge, respectively. Therefore, the deep trap state due to GaN oxidation when using O
3 plasmaare possibly attributed to vacancy-type defects such as V
Ga and V
Ga–O
N. Comparing with Fig.
5, it can be seen that the interface states’ density near mid-gap states is much lower than the interface states’ density closer to conduction band edge. However, a significant threshold voltage shift (in the reverse bias region) can be induced by these near mid-gap interfaces as plotted in Fig.
7(b).