We investigate the electrical characteristics of defects at the SiO2/Si interface, within the adjacent Si crystal, and through the depth profile of the bulk defect using three-dimensional deep-level transient spectroscopy (3D-DLTS). These defects are introduced by the reactive plasma deposition technique employed for depositing transparent conductive oxides in the fabrication of carrier-selective contact-type solar cells. To control the surface potential near the Si surface, we apply a varying voltage to obtain DLTS signals as functions of both temperature and Fermi level at the SiO2/Si interface. Using machine learning for 3D-DLTS spectral analysis, we estimate the capture cross sections, energy levels, densities, and depth profiles of these process-induced defects. The experimental results indicate the existence of three types of electron traps within the bulk defects, ranging from the interface to a depth of ∼70 nm. The electrical properties of these bulk defects suggest the presence of oxygen-related defects within Si. On the other hand, regarding the properties of interface defects, the capture cross sections and the defect densities are estimated as a function of their energy levels. They suggest that the defects at the SiO2/Si interface are likely oxygen-related PL centers.
I. INTRODUCTION
Silicon (Si) carrier-selective contact (CSC) solar cells are on the front of achieving conversion efficiencies that approach theoretical limits. These cells adopt metal–insulator–semiconductor (MIS)-like structures for electrical contact instead of traditional metal–semiconductor junctions.1–5 A thin insulating layer, comprising materials such as SiO2 or amorphous Si (a-Si), inhibits the minority carrier recombination at the Si/insulator interface. This increases both photo-induced current and open-circuit voltage. While traditional solar cells use a pn-junction for carrier separation, CSC solar cells utilize carrier-selective heterojunctions to separate electrons and holes, which are generated by light absorption. The carriers move from the Si crystal through the insulating layer to the electrode. Different types of materials work as electron and hole contacts and are designed to transport only electrons or holes from Si to the contact material. These junctions block either electrons or holes and conduct the other. Various materials, such as doped a-Si and transition metal oxides (TMOs), are candidates for electron and hole contacts.3,6–11 However, these materials often have high resistivity, which increases the series resistance and consequently decreases both the fill factor (FF) and the conversion efficiency. To mitigate these issues, transparent conductive oxides (TCOs), such as indium tin oxide (ITO), are deposited on the CSC contact materials, followed by the formation of metal electrodes.
The silicon heterojunction (SHJ) solar cell, configured as TCO/nano-crystal-SiOx(n)/a-Si:H(i)/n-c-Si/a-Si:H(i)/a-Si:H(p)/TCO, is a type of CSC solar cell that has achieved impressive conversion efficiencies up to 26.81%.12 Despite these advancements, certain fabrication techniques, such as reactive plasma deposition (RPD), introduce defects that act as carrier recombination centers, thereby deteriorating solar cell performance.7,13 RPD is frequently used to deposit TCO layers because it is a relatively low-damage process.14,15 However, it generates defects near the Si/insulator interface region.16–18 To mitigate this issue, a deeper understanding of the formation mechanisms, structural attributes, and electrical properties of these defects induced by the process is strongly required. Deep level transient spectroscopy (DLTS) has been used for evaluating the electrical properties of defects.19 However, the RPD process induces the defects at both the insulator/semiconductor interface and in the bulk material near the interface.20,21 In addition, they cannot be evaluated by the conventional DLTS methods. Therefore, a new technology to study them simultaneously should be realized.
In this study, we propose an advanced DLTS method designed to determine the electrical properties of defects at the interface and in the crystal near the interface of the MOS structure. By controlling the surface potential during the DLTS measurement, three-dimensional DLTS (3D-DLTS) spectra are obtained, which illustrate the relationship between DLTS signal intensity, temperature, and surface potential. By analyzing these spectra, at the interface, the defect density and capture cross section as a function of energy level are obtained. In the crystal near the interface, the energy levels, capture cross sections, and defect concentrations are obtained as a function of the distance from the interface. This proposed method is applied to evaluate the characteristics of the SiO2/Si interface and the bulk defects induced by RPD. The obtained 3D-DLTS spectra are analyzed using machine learning with Bayesian optimization, and the following results are obtained. Three types of electron traps are induced by the process, which exist at ∼100 nm from the interface. The energy levels and capture cross sections suggest that the oxygen related defects are one of the candidates to decrease the minority carrier lifetime. At the interface, this energy-level dependent variation in capture cross sections indicates to the formation of PL centers, that is, a dangling bond of Si bonded to oxygen, at the SiO2/Si interface during the process.
II. THEORY
The proposed DLTS analysis method is described in this section as follows: In order to analyze the defects induced in the CSC solar cells, a metal–oxide–semiconductor (MOS) structure sample was used. Here, it is assumed that defects with continuous energy levels at the interface and discrete defect levels in the bulk exist in the MOS structure. When the pulse voltage Vp is applied to the electrode of the MOS structure in this state, a depletion layer is formed near the interface in the Si crystal and a surface potential ψ(Vp) is introduced into the Si crystal near the interface, as shown in Fig. 1(a). In the depletion region, the conduction band minimum Ec(x), the valence band maximum Ev(x), and bulk defect level Et(x) are expressed as a function of spatial depth from interface x, while Fermi level EF is spatially constant under the steady-state condition. At the interface, the defects with energy levels equal to EF are defined as the maximum interface defect level EtVp and the interface defects deeper than EtVp are filled with electrons. In contrast, within the depletion region in the Si crystal, the bulk defects with Et(x) above EF emit the captured electrons, while the bulk defects are occupied by electrons that are farther than xvp.
Subsequently, reverse voltage Vr is applied, and the surface potential is increased to ψ(Vr). At the interface, the energy level of interfacial defects with an energy level equal to EF deepens to EtVr. The defects with energy levels deeper than EtVr retain the captured electrons. Conversely, electrons trapped in the EtVp to EtVr range, which are shallower than EF, are thermally released into the conduction band after Vr is applied [Fig. 1(b)]. In semiconductors, the Fermi level is crossed with Et(x) and the intersection shifts from xvp to xvr, causing electrons to be emitted from bulk defects in that range. During DLTS measurements, this electron emission, occurring as the voltage switches from Vp to Vr, is detected as a capacitance transient in the MOS structure. The schematic image of the obtained capacitance transient is shown in Fig. 2. These transient curves can be expressed as exponential functions of time t, as shown in Fig. 2. The intensity of the capacitance transient changes depending on both Vp and Vr.
When the difference between ψ(Vp) and ψ(Vr) is fixed at a small value, DLTS signals of defects located at the interface energies of EtVp and EtVr are obtained. Then, by analyzing these DLTS signals, the interface defect density Dit(EtVp ≤ Et ≤ EtVr) and σ(EtVp ≤ Et ≤ EtVr) of the defects distributed in that energy region can be obtained as a function of the defect energy level Et. These values are then averaged in the range of EtVp to EtVr. On the other hand, for defects in the crystal, bulk defect density Nt, σ, and Et of defects located between xvp and xvr can be obtained. If the difference between Vp and Vr is fixed and Vr is varied, Dit(Et) and σ(Et) are obtained at the interface with an error of approximately EtVr – EtVp. Similarly, in the bulk, density Nt(Et, x) and capture cross section σ(Et, x) of defects distributed between the spatial regions xvp to xvr are obtained with an error of approximately xvr – xvp.
When defects have similar energy levels and capture cross sections, their DLTS spectra overlap, complicating the extraction of peak temperatures specific to each defect. Therefore, Bayesian optimization is adopted to perform 3D-DLTS analysis. The distinct properties of each defect are extracted.
III. EXPERIMENT
A. Sample preparation
Al/SiO2/Si/Al structured MIS diodes were fabricated for capacitance–voltage (C–V) and DLTS measurements, as illustrated in Fig. 3. The substrates were n-type Czochralski (Cz)-Si (100) wafers, doped with phosphorus (P). To create the Al/(ITO)/SiO2/Si/Al structure, the following steps were undertaken. First, the substrate surfaces were cleaned using a mixture of H2O, H2O2, and NH3 at a 5:1:1 ratio and subsequently treated with HF solution to eliminate the native oxide film. The unpolished side of the Si wafer was thermally doped with a high concentration of P to achieve a sheet resistivity of 60 Ω/sq, which realizes the Ohmic contacts at the back of the DLTS samples. These wafers were then dry oxidized at 950 °C in an O2 atmosphere, resulting in a 10 nm-thick SiO2 layer. This value was verified by ellipsometry.
To deposit ITO films, an RPD process was employed. Argon (Ar) plasma was generated using a plasma gun with a controlled Ar flow rate of 20 SCCM. This plasma was discharged into the growth chamber and steered by a magnetic field toward an ITO target containing 5 wt. % Sn doping. ITO evaporation occurred, coating the oxidized wafer with an ITO film. The O2 gas supply to the chamber was maintained at 85 SCCM, with a regulated growth pressure of 0.3 Pa. The substrate temperature was ∼80 °C, not intentionally controlled, and was plasma-heated. The grown ITO film had a thickness of 90 nm. For subsequent C–V measurements, the ITO layer on the front side of the fabricated structure was etched away using an HCl solution. For back-side metallization, the SiO2 layer on the rear was removed using an HF solution. Finally, aluminum contacts were thermally evaporated onto both sides.
B. Measurement condition determination
The temperature-dependent behavior of Ec(∞) – EF was determined using a 1/C2 plot. To derive ψ(Vp) and ψ(Vr) as functions of both applied voltage and temperature, the measurement temperature was varied and the C–V measurements were used to estimate the flat-band voltage shift in the MOS structure.
To determine Vp, Vr was derived from the MOS C–V characteristics at various temperatures. The relationship between capacitance and voltage as a function of temperature is shown in Fig. 4. The dashed line represents the flat-band voltage at each temperature, which shows a negative shift with increasing temperature. This shift suggests that the charge states of either the oxide layer or the interface are temperature-sensitive, making the flat-band voltage a temperature-dependent parameter.
Using the C–V curve, the energy gap between the conduction band minimum and Fermi level Ec(0) – EF(V, T) was estimated as a function of voltage at each temperature using Eq. (11), as shown in Fig. 5. As the temperature increases, Ec(0) – EF(V, T) becomes shallower, causing the DLTS detection region to also become shallower. On the other hand, Vr and Vp were determined in each temperature scan to maintain a constant energy detection width EtVr – EtVp fixed at 50 meV at the interface.
IV. RESULTS AND DISCUSSION
The 3D-DLTS spectrum was obtained as a function of temperature T, the Fermi level at the interface under applied Vr Ec(0) – EtVr, and DLTS signals, as shown in Fig. 6. Here, DLTS signals were calculated from the transients by using the sine weighting function. This type of DLTS signal is called b1.22 In this case, tw was set at 1 s, and Ec(0) – EtVr was determined as an energy resolution of 50 meV. The spectrum is organized along three axes: temperature T, Ec(0) – EtVr, and the DLTS signal. The temperature axis corresponds to the energy level and capture cross section. In the case of interface defects, the Ec(0) – EtVr axis represents the energy distribution, while it corresponds to the spatial distribution for the bulk defect spectrum. While almost no signal was detected in the sample without RPD, a high intensity DLTS signal, as shown in Fig. 6, was obtained from the sample that has been through the RPD process. Therefore, this spectrum is obtained from the defects induced by RPD.
The 3D-DLTS spectrum was converted to a contour map, as shown in Fig. 7. This contour map was generated by complementing the measured data every 50 meV. The white dashed line refers to the theoretical spectrum peak position of an interface defect as a function of Ec(0) – EtVr and T. Here, we assumed that the capture cross section is 1 × 10−15 cm2. The theoretical peak position shows a linear increase with increasing temperature. Experimentally, the signal peak is shifted toward higher temperatures in the range of Ec(0) – EtVr from 0.3 to 0.5 eV. This behavior is well explained by the theoretical line. Therefore, the spectrum in this region corresponds to the interface defects. On the other hand, the experimental peak did not shift above Ec(0) – EtVr = 0.6 eV, as shown by the black dashed line in Fig. 7. This feature cannot be explained by the theoretical line of the interface defects. The peak temperature in this region is lower than the estimated theoretical line. According to the discussion in chapter 2, it can be concluded that the spectrum in this energy range mainly originated from the bulk defects.24
The cross-sectional spectrum at Ec(0) – EtVr = 0.6 eV is shown in Fig. 8. This corresponds to the bulk defects. The obtained signal cannot be explained by a single discrete bulk defect. This indicates that the spectrum comprises several types of signals originating from different defects. Spectrum analysis using Bayesian inference concluded that this DLTS spectrum is composed of at least three signals obtained from three types of defects (E1, E2, and E3) in the bulk. The estimated energy levels and capture cross sections of these defects are listed in Table I.
. | E1 . | E2 . | E3 . |
---|---|---|---|
Defect level (eV) | Ec − 0.55 | Ec − 0.53 | Ec − 0.43 |
Capture cross section (cm2) | 2.0 × 10−16 | 7.2 × 10−16 | 1.2 × 10−16 |
. | E1 . | E2 . | E3 . |
---|---|---|---|
Defect level (eV) | Ec − 0.55 | Ec − 0.53 | Ec − 0.43 |
Capture cross section (cm2) | 2.0 × 10−16 | 7.2 × 10−16 | 1.2 × 10−16 |
The energy levels of E1, E2, and E3 range from 0.55 to 0.45 eV. According to prior studies, the potential candidates of defects with such energy levels include metal impurities such as gold (Au) and zinc (Zn), oxygen vacancies, oxygen-vacancy complexes, and dangling bonds such as Pb centers.22,23 Although the Si crystal contains a few metal impurities, it has a relatively high concentration of oxygen due to its growth via the Cz method. Therefore, oxygen-related defects such as oxygen-related complexes (Ec – 0.55 eV) are considered to be formed by RPD.25
The defect levels of E1, E2, and E3 are shown in Fig. 9 as a function of Ec(0) – EtVr, which corresponds to the distance from the interface. As shown in Fig. 9, E1, E2, and E3 persist even when Ec(0) – EtVr is increased. This feature shows that these defects are generated in the Si crystal near the SiO2/Si interface and that these electrical properties are almost the same, independent of the position where these defects exist. The spatial distribution of these defect concentrations was obtained, where x denotes the distance from the interface, as determined by the detected defect levels using Eq. (8). This further suggests that these defects are distributed throughout the Si crystal, consistent with the contour map’s implications. The estimated distribution depths for these defects fall within the range of ∼70 nm, as shown in Fig. 10. The depth distribution of all these defects is fairly uniform, pointing to a shared formation mechanism. The previous results suggested that ultraviolet (UV) light induces defects during the RPD process.26 The estimated depth is almost the same as the penetration depth of UV light into Si, supporting the idea that the short-wavelength light during the process may generate the bulk defects.
The cross-sectional spectrum derived from the 3D-DLTS at Ec(0) − EtVr = 0.45 eV measurements is shown in Fig. 11. As shown in Fig. 7, this spectrum specifically relates to defects at the SiO2/Si interface. Bayesian optimization was employed to estimate these interfacial defect properties as well. These spectra were explained by multiple spectra that originated from different defect characteristics, as shown by the dashed line in Fig. 11. Consequently, the density of interface defects Dit(Et) and capture cross section σn(Et) were estimated as a function of the energy level from the analysis using Bayesian optimization. The estimated Dit(Et) and σn(Et) are summarized in Fig. 12. The spectra feature multiple broad peaks, indicating a complex composition that includes bulk defects. Due to this complexity, we estimated errors in the characteristics from variations in their corresponding values. The resultant interface defects have energy levels ranging from Ec(0) − EtVr = 0.35 eV to Ec(0) − EtVr = 0.45 eV, with a density of ∼1011 cm−2/eV and capture cross sections between 10−17 and 10−15 cm2. The capture cross sections share the same dependence on the energy level as the PL centers.27 Therefore, these results suggest that oxygen atoms are involved in the formation of both interface defects and bulk defects. These findings will help clarify the degradation mechanisms at and near the heterojunction interface in the RPD process and will contribute to optimizing the RPD process to fabricate heterojunction devices with lower damage.
V. CONCLUSION
An advance DLTS method was proposed, which can evaluate the properties of defects at the interface of the MOS structure and in the bulk near the interface simultaneously. These defects were generated through the RPD method, which is commonly used for depositing TCO in the fabrication of CSC-type solar cells. The surface potential in the near-surface Si region was manipulated by applying voltage, allowing us to obtain DLTS signals as functions of temperature and the energy difference between the conduction band minimum and the Fermi energy. Machine learning techniques were employed to analyze the 3D-DLTS spectra, enabling us to quantify the capture cross sections, energy levels, densities, and depth profiles of the defects induced by the process. For bulk defects, we identified three types of electron traps spanning from the interface to ∼70 nm in depth. The electrical properties of these bulk defects suggest that they likely comprise oxygen complex defects, specifically an oxygen divacancy complex formed during the RPD process. Meanwhile, Dit(Et) and σn(Et) correlate with PL centers, exhibiting an increase as Et decreases from ∼10−17 to 10−15 cm2.
ACKNOWLEDGMENTS
This work was financially supported by the Research Center for Smart Energy Technology under the Ministry of Education, Culture, Sports, Science, and Technology (MEXT) and partially supported by the New Energy and Industrial Technology Development Organization (NEDO), Japan.
AUTHOR DECLARATIONS
Conflict of Interest
The authors have no conflicts to disclose.
Author Contributions
Tomohiko Hara: Conceptualization (equal); Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Project administration (equal); Software (equal); Writing – original draft (equal). Yoshio Ohshita: Conceptualization (equal); Writing – original draft (equal); Writing – review & editing (equal).
DATA AVAILABILITY
The data that support the findings of this study are available from the corresponding author upon reasonable request.