1. Introduction
Monoclinic β-Ga
2O
3, as the ultra-wide bandgap transparent semiconducting oxide, has attracted significant research focus [
1,
2,
3,
4]. Although having the notable thermal conductivity disadvantage, β-Ga
2O
3 currently has been used in the high power electronics, the kV-class Schottky barrier diodes [
5,
6,
7], the e- and d-mode MOSFETs [
8,
9,
10] and MESFETs [
11], the solar-blind UV photodetectors [
12,
13], the light emitting diodes [
14], sensing systems [
15,
16], solar cells [
17], photocatalysts [
18] and phosphors [
19].
At present, bulk single crystals of β-Ga
2O
3 are grown through the Czochralski [
20] and the EFG methods [
21] with a reasonable size and structural quality. Moreover, high structural quality homo-epitaxial layers were obtained using MOVPE [
22] and MBE [
23]. The grown β-Ga
2O
3 can be either electrical insulators or n-type semiconductors. It can be grown via intentional doping with the electron concentration tunable between 10
16 and 10
19 cm
−3, Hall electron conductivity ranging from 10
-12 to 10
2 S∙cm
-1, and Hall electron mobility up to 170 cm
2∙V
−1∙s
−1 [
24,
25,
26]. However, the development of the improved p-type conductivity in β-Ga
2O
3 has not been effectively achieved. Therefore, the demand for further study on appropriate acceptor doping is necessary [
27,
28,
29].
Nitrogen is one of the promising acceptor species for Ga
2O
3. For substituting O, nitrogen is the closest to O in terms of atomic size but has one less valence electron than O. Studies have been conducted and reported on the generation of the p-type nitrogen-doped β-Ga
2O
3 films [
30,
31] and the nanowires [
32,
33] through thermal oxidation GaN in O
2 atmosphere at 1000 to 1100 °C. Moreover, our previous study demonstrated the successful growth of p-type nitrogen-doped β-Ga
2O
3 films using the low bond energy N
2O gas for the thermal oxidation of GaN [
34]. Because N
2O can be easily decomposed into O atoms and ‘N=N’, it can effectively complete the oxidation substitution. Therefore, the p-type β-Ga
2O
3 films produced in the N
2O atmosphere have higher Hall hole concentration and higher conductivity than thermal oxidation of GaN with O
2 at the same temperature range.
The technology of nitrogen-doping for β-Ga
2O
3 needs to be explored in detail. Given the same experimental results presented in the previous study [
34], this study focused on the analysis of the characteristics at 1000, 1050, and 1100 °C, in which the grown β-Ga
2O
3 achieved the Hall hole concentrations above 2.55 × 10
16 cm
−3. This study aimed to: (1) further corroborate the prepared films are polycrystalline β-Ga
2O
3 using PL, normalized XRD, HRTEM, and SAED; (2) explore the variations in nitrogen-doping concentration using secondary ion mass spectrometry (SIMS) within the oxidation temperature range; (3) determine the primary acceptor by analyzing the valence band spectrum and calculating the ionization energy of the acceptor; (4) explore the advantage of oxidation efficiency in N
2O atmosphere by calculating the activation energy. The activation energy in this study was 147.175 kJ·mol
-1. To our knowledge, the activation energies of dry and wet oxidations of GaN using oxygen were 300 kJ·mol
-1 [
35] and 210 kJ·mol
-1 [
36], respectively.
3. Results and discussion
The room temperature PL spectrum measurements were conducted to determine the nature of the grown films as a function of the oxidation temperature.
Figure 1a depicts the PL spectra (at a wavelength ranging from 242 to 300 nm) of the samples obtained through thermal oxidation at 1000, 1050, and 1100 °C. Although the light source by grating spectrophotometry was weak, a fairly distinct emission peak around 246 nm (~5.0 eV) was observed in all grown films. The observed emission peak was attributed to the band-to-band luminescence of gallium oxide, confirming that Ga
2O
3 was successfully produced through the thermal oxidation of GaN. Moreover, the peak intensity around 246 nm increased 2.6 times, and the full width at half-maximum significantly decreased with increasing oxidation temperature, indicating that the oxide layer became thicker.
Figure 1b and its inset show the PL spectra of the oxidation films and the un-doped commercial GaN substrate within the wavelength range of 325-700 nm for comparison using the 325 nm He-Cd laser as a light source. The emission peaks at 355 nm (~3.491 eV) and 366 nm (~3.387 eV) belonged to GaN [
37]. As the temperature of thermal oxidation increased, these two emission peaks of GaN decreased. Besides, comparing with the PL from the GaN substrate, the yellow emission at 565 nm (~2.194 eV) in the oxide films was ascribed to the Ga vacancies during high-temperature growth [
38,
39].
The XRD patterns of the grown films as a function of the oxidation temperature confirmed the formation of the β-Ga
2O
3 phase with a preferred orientation along the {
01} directions. The XRD results were compared with the standard powder diffraction files of PDF# 43-1013 for β-Ga
2O
3 and PDF# 50-0792 for GaN. As shown in
Figure 2, to compensate for the impact of large differences in oxidation depth on the corresponding intensity of XRD, each diffraction peak was normalized by the highest diffraction peak from the most preferred orientation at the same oxidation temperature. When the oxidation temperature was between 1000 and 1050 °C, the most preferred orientation was (
01) located at 18.7°. Then, at 1100 °C, the most preferred orientation was (
02) located at 38.2°. In addition to the {
01} family of planes at 18.7°, 38.2°, and 59.1°, there were relatively strong diffraction peaks belonging to {400}, (002), (
12), and (020) phases of β-Ga
2O
3, indicating that the β-Ga
2O
3 thin film obtained through high-temperature thermal oxidation was polycrystalline.
The SAED pattern of a detailed characterization of the grown β-Ga
2O
3 film is shown in
Figure 3a–c. The discrete bright spots belonged to the (
01), (
02), (002), (111), (020), and (400) crystal planes of β-Ga
2O
3, further demonstrating the polycrystalline nature of the β-Ga
2O
3 thin film. Additionally, for the sample thermally oxidized at 1000, 1050, and 1100 °C, the enlarged HRTEM images (
Figure 3d–f) of the region around the β-Ga
2O
3/GaN interface displayed a clear boundary between the β-Ga
2O
3 film and the GaN substrate without transition zone. Moreover, the crystal plane orientations of the β-Ga
2O
3 thin film in HRTEM images ulteriorly confirmed the polycrystalline nature of the β-Ga
2O
3 thin film.
For the samples thermally oxidized at 900, 950, 1000, 1050, and 1100 °C, the natural logarithm plot of the oxide layer thickness (ln (Thickness)) as the function of oxidation temperature (1000/T) is cumulatively plotted in
Figure 4. Based on the oxidation thickness, the activation energy required for thermal oxidation (0001) of monocrystalline GaN to form polycrystalline β-Ga
2O
3 in the N
2O atmosphere was analyzed. The Arrhenius equation described the temperature dependence of chemical reactions better. Therefore, the activation energy was calculated using the idealized Arrhenius law behavior shown in equation (1) according to our experiments of thermal oxidation of GaN in the N
2O atmosphere at 900 to 1100°C:
where k is the Boltzmann constant;
is the thickness of β-Ga
2O
3 at 900 °C [
34], taking as the initial thickness of the oxidation process; T is oxidation temperature in Kelvin. The activation energy calculated from equation (1) was approximately 147.175 kJ·mol
-1. In the previous studies, the reported results of activation energies of dry and wet thermal oxidations of GaN in O
2 ambient were 300 [
35] and 210 kJ·mol
-1 [
36], respectively. This result quantitatively shows that the O atom in the low bond energy under the N
2O atmosphere can easily get free from the covalent bond at the same temperature. As a result, the oxidation rate was relatively fast, and the activation energy required was relatively low.
Figure 4.
The natural logarithm plot of the oxide layer thickness (ln (Thickness)) as the function of oxidation temperature (1000/T) for the thermally oxidized samples at 900, 950, 1000, 1050, and 1100 °C.
Figure 4.
The natural logarithm plot of the oxide layer thickness (ln (Thickness)) as the function of oxidation temperature (1000/T) for the thermally oxidized samples at 900, 950, 1000, 1050, and 1100 °C.
Figure 5.
SIMS characterizations of the depth profiles of (a) O, (b) Ga, (c) N from 0 to 2.5 μm depth for the thermally oxidized samples at 1000, 1050, and 1100 °C. (d) The enlarged view of the N with a depth of 0-20 nm.
Figure 5.
SIMS characterizations of the depth profiles of (a) O, (b) Ga, (c) N from 0 to 2.5 μm depth for the thermally oxidized samples at 1000, 1050, and 1100 °C. (d) The enlarged view of the N with a depth of 0-20 nm.
In
Figure 6a–c, for the samples thermally oxidized at 1000, 1050 and 1100 °C, the O, Ga, and N elemental’s vertical distributions from SIMS were exhibited. The depth of the analysis includes the topmost surface layer to the depth of 2.5 µm.
Figure 6a shows the O ion response intensities of the SIMS test as a function of depth. The thickness of β-Ga
2O
3 films at 1000, 1050, and 1100 °C to be 145 nm, 530 nm, and 2.5 μm, respectively. These results were consistent with the longitudinal distribution depth of O in SIMS results (
Figure 6a). As shown in
Figure 6a, within the β-Ga
2O
3 layer, the O content gradually reduced in the downward direction approaching the β-Ga
2O
3/GaN interface. At all three oxidation temperatures, the higher the oxidation temperature, the higher the reduction of O content when approaching the interface. The main reason for the insufficient O was that the N atoms in the underlying GaN were separated by thermal oxidation and gradually moved upward; thus, in the β-Ga
2O
3 layer, N replaced O to form the N-doped β-Ga
2O
3. Moreover, the N was more abundant close to the interface; as a result, it substituted more O, thus decreasing O content. In addition, at a higher temperature, the O in the β-Ga
2O
3 is more likely to be released from the covalent bond and escape from the polycrystalline β-Ga
2O
3 layer. Therefore, O vacancies existed in the grown β-Ga
2O
3 layer.
Figure 6b shows the Ga ion response intensities of the SIMS test as a function of depth. In the grown β-Ga
2O
3 layer, the stoichiometric ratio of Ga:O is 2:3. In the GaN substrate, the stoichiometric ratio of Ga:N 1:1. The test mode of SIMS in this study was based on the relative content ratio of elements. As shown in
Figure 6a,b, the content of Ga was relatively low within the range of the depth of the corresponding β-Ga
2O
3 layer. The content of Ga was relatively high in the depth range of the corresponding GaN layer. Moreover, the depth position of the change in Ga content was consistent with the observed oxidation thickness of FIB, indicating that the β-Ga
2O
3 layer was indeed successfully oxidized. As shown in
Figure 6b, the Ga content close to the top of the β-Ga
2O
3 was lower than that of the stoichiometric of β-Ga
2O
3, indicating that Ga vacancies were formed by the high-temperature oxidation close to the β-Ga
2O
3 surface.
Figure 6c shows the N ion response intensities as a function of depth obtained from the SIMS test. As shown in
Figure 6c, the position where the N content became stable corresponded to the interface position between the β-Ga
2O
3 and the GaN layer. Moreover, the portion of N within the β-Ga
2O
3 region decomposed from GaN and transmitted to the β-Ga
2O
3 layer above it, increasing the relative N concentration. In the β-Ga
2O
3 layer, the lower the position close to the GaN layer, the higher the N-doping concentration. However, further away from the GaN layer, the N-doping decreased. To interpret the effect of N atoms separated from N
2O on N-doping in the β-Ga
2O
3 layer,
Figure 6d shows an enlarged view of the N from 0 to 20 nm depth of the thermally oxidized samples at 1000, 1050, and 1100 °C. Although the decomposed N from N
2O also participated in the N-doping, the doping depth was relatively shallow, and the doping concentration was low at a depth of 20 nm. The N-O bond in N
2O was a single bond with low bond energy; thus, the O atom was easily separated at high temperatures. In contrast, the two N atoms in N
2O were double-bonded. Consequently, high bond energy was required to break the two double-bonded N atoms, meaning that the proportion of N separated at high temperatures was relatively low. As shown in
Figure 6c,d, the decomposed N from GaN was the main source of N-doping in grown β-Ga
2O
3.
To further support the relative proportions of elements observed during the SIMS tests, the elemental ratios of N and the Ga/O observed using XPS are presented in
Table 1. According to the stoichiometric ratio (Ga/O is ~0.6667), the polycrystalline β-Ga
2O
3 grown through thermal oxidation always exhibited an O-deficient state in the Ga/O ratio (
Table 1). In the process of oxidation, although O vacancies were formed, the key reason for O deficiency was that N replaced O rather than O vacancies. Moreover, as the oxidation temperature increased, the proportion of G decreased slightly, implied that the Ga vacancies increased slightly with the increase of oxidation temperature. In addition, as oxidation temperature increased, the proportion of N in the β-Ga
2O
3 layer increased. This result is consistent with that of N response intensities in SIMS. It also confirms that the p-type conductivity of the films improves with the increase in oxidation temperature.
XPS was used to investigate the valence band characteristic of the thermally oxidized samples at 1000, 1050, and 1100 °C (
Figure 7a–e). Both theoretical studies [
40,
41] and experimental results [
42,
43] have demonstrated that the density of states for the valence band is predominated by the O 2p character. And the Ga 3d peak was used as the calibration peak. As the oxidation temperature went up, the valence band edge of O 2p shifted further to the right, and the moved valence band (
Figure 7a,b) accordingly, indicating a lower Fermi level and more p-type characteristic.
Figure 7c–e show the enlarged tail parts of the valence band for the thermally oxidized samples at 1000, 1050, and 1100 °C, respectively. The ordinates of
Figure 7c–e, counts per second (counts/s), are normalized to the maximum value ranging from 0 to 5 eV. The variation trend of the slope at the turning point of the tail confirmed the presence of states in the lower part of the bandgap. As the oxidation temperature increased, the shallow acceptor levels introduced by N-doping moved closer toward the valence band, indicating a larger p-type carrier density, thus improving p-type conductivity.
The temperature-dependent Hall measurements were conducted (from 70 to 540 K) on the samples oxidized at 1000, 1050, and 1100 °C under a vacuum environment. The positive Hall coefficients confirmed that the N-doped β-Ga
2O
3 films were p-type. The variations in Hall hole concentration, Hall hole mobility, and Hall resistivity of samples as the function of the test temperature are highlighted in
Figure 7a–c, respectively. In addition, the natural logarithm plot of Hall hole concentration (ln (p)) as the function of (1000/T) is shown in
Figure 7d. With the increase in test temperature, the changes in Hall hole concentration, Hall mobility, and Hall resistivity of the three samples were consistent and showed a reasonable trend. As the test temperature increased from 70 to 540 K, Hall carrier concentration increased, whereas Hall mobility and Hall resistivity decreased. Under the same test temperature, the higher the oxidation temperature, the more N-doping in the β-Ga
2O layer formed through oxidation, thus contributing higher Hall hole concentration, better Hall mobility, and smaller Hall resistivity. At a test temperature of 300 K, the Hall hole concentrations of the three samples were 2.55 × 10
16 cm
-3(@1000 °C oxidation temperature), 6.31 × 10
16 cm
-3 (@1050 °C oxidation temperature), and 1.63693 × 10
17 cm
-3(@1100 °C oxidation temperature). PL and SIMS results showed that Ga and O vacancies existed in β-Ga
2O films obtained through high-temperature oxidation. V
Ga and the pairs of V
Ga-V
O might act as potential acceptors [
44,
45,
46]. However, based on the near-band-edge structure of β-Ga
2O
3 nanostrips depicted in
Figure 7 of [47], the transition energy of the acceptor level V
Ga ~0.494 eV (E
0 - E
D1) [47]. At 300 K, this order of magnitude ionization energy can only contribute near 10
15 order of magnitude for hole concentration. Therefore, the Hall hole concentration ranging from 2.55 × 10
16 to 1.63693 × 10
17 cm
-3 was mainly contributed by N-doping in β-Ga
2O
3. β-Ga
2O
3 thin films with fairly good Hall hole concentration were obtained through oxidation technology. The carrier concentration increased in proportion to oxidation temperature. However, although the mobility also increased with the rise of oxidation temperature, the increase of mobility was not that much. (
Figure 2b). This phenomenon was because when the oxidation temperature increased from 1000 to 1100 °C, more loose hollows were generated inside the cross-section of the β-Ga
2O
3 film. As a result, the defects and dangling bonds were introduced near the hollows, which in turn hindered the improvement of mobility. Therefore, no significant increase was observed in overall mobility. At a test temperature of 300 K, the Hall hole mobilities were 2.2 cm
2∙V
−1∙s
−1 (@1000 °C oxidation temperature), 3.3 cm
2∙V
−1∙s
−1 (@1050 °C oxidation temperature), and 5 cm
2∙V
−1∙s
−1 (@1100 °C oxidation temperature). Similarly, the Hall resistivity slightly decreased. At a test temperature of 300 K, the Hall hole motilities are 74 Ω∙cm (@1000 °C oxidation temperature), 45 Ω∙cm (@1050 °C oxidation temperature), and 7.7 Ω∙cm (@1100 °C oxidation temperature).
Figure 7d displays the natural logarithm plot of Hall hole concentration (ln (p)) as the function of (1000/T). Based on the linear regression formula of ln(p) versus 1000/T, the acceptor ionization energies of oxidized samples at 1000, 1050, and 1100°C were similar, which were ~0.092 ± 0.005 eV. The smaller acceptor ionization energy implies the easier hole activation of the N-doping instead of Ga vacancies for the β-Ga
2O
3 film. This phenomenon further demonstrates that N-doping mainly contributes to p-type electrical conductivity.