3.1 Laser-assisted nanotexturing process
The overall nanopyramid texturing process helped with a ns pulse laser is illustrated in Fig. 1. The texturing process consists of three steps: (1) nanolens fabrication, (2) laser processing, (3) pyramid texturing in an alkaline solution as illustrated. As a first step, the HSQ nanolens is made of a convex optical structure and prepared through sequential fabrication processes of silica nanosphere (SNS) lithography and nanoimprint lithography (NIL). As a second step, the nanolens was placed on the c-Si wafer, irradiated with a ns pulse laser to form nanoparticle etch masks on the surface of silicon wafers, and finally, a typical KOH etching process was conducted to form nano-pyramidal structures on the c-Si wafers.
3.2 Nano-lens fabrication results
The nano-lens used for the laser-assisted texturing process was obtained by a NIL process after making a Si master sample through SNS lithography. As shown in Fig. 2(a), silica spheres were coated on the surface of the Si wafer for SNS lithography, and the Si nanostructures for the master sample were produced through the reactive ion etching (RIE) process. SF6 and O2 gases were used for RIE, and the shape of the nanostructures was adjusted by varying the partial pressure ratio of O2 gas 29. Since the nanolens array is fabricated by replicating the Si master sample, the shape of the master sample needs to be optimized for the effective light focusing. As shown in Fig. 2 (b), the surface of the silicon wafer subjected to the RIE process for 5 minutes under the condition of 10% O2 partial pressure was rough; thus, it was excluded from the master sample. The 20% O2 partial pressure ratio condition was selected as the most suitable condition because the surface of the master sample was smooth, and the lens shape was not too narrow as shwon in Fig. 2 (c). The condition of 30% O2 partial pressure ratio was not either suitable as a master sample because the lens shape was too narrow as shown in Fig. 2 (d).
This master sample was coated with poly-dimethyl siloxane (PDMS) to make a pattern, and a nano-lens was manufactured through HSQ resin and NIL process.30 In order to further modify the shape of the nano-lens, additional UV and heat treatments at 400°C for 1 hour were performed. There was a change in the shape of the nano-lens due to the UV treatment process, while the shape of the HSQ film without UV treatment easily collapsed as shown in Fig. 3. (a) and (b). As the UV treatment time increased to 30 minutes and 1 hour, the shape of the nano-lens was well maintained after the HSQ curing as seen in Fig. 3 (c) and (d). After 1 hour of the UV treatment and 1 hour of the heat treatment at 400°C, the shape of the nanolens as shown in Fig. 3 (d) showed nearly the same as that of the Si master sample, and thus this condition was used for the nanolens fabrication. The completed HSQ nanolens has a hexagonal arrangement of flat hexagonal heads with about 800 nm, as shown in Fig. 3(d). The height of each lens column is about 1 µm.
3.3 Laser-assisted texturing process
The fabricated nano-lens, serving as a focusing lens, was placed on a Si wafer with a size of 30 mm × 30 mm, and the entire area is irradiated using a scanning pulse laser. A 90 nm-thick SiO2 layer was deposited on the Si wafers by plasma-enhanced chemical vapor deposition (PECVD). The role of this SiO2 layer reduces optical reflection from the Si surface and increases the optical absorption in the Si wafers, as can be seen from the FDTD simulation result in Figure S1.31 The laser-irradiated Si wafers were dipped in the HF solution to removes the SiO2 layer, and was textured through the KOH solution, which is generally used for Si pyramid texturing. Refer to the overall laser-assisted texturing process as illustrated in Fig. 1. The surface of the Si wafers after the laser irradiation was seen by the electron microscopy and shown in Fig. 4(a)-(f). The most important part of the laser-assisted texturing process is that the laser beam is focused through the nano-lens on the surface of SiO2/Si to create unique nanoparticles on the Si surface by inducing local heating on the Si wafer surface. The appearance of these nanoparticles can be confirmed through scanning electron microscope (SEM) images in Fig. 4(a). Most nanoparticles remained even after HF treatment as seen in Fig. 4(b). The average size of the spherical nanoparticles is seen to be ~ 400 nm as confirmed in the SEM image of Fig. 4(c). These nanoparticles function as etch masks when Si wafers are textured in a KOH solution, making pyramid nucleation fast and dense in the beginning of the texture reaction. As can be seen in Fig. 4(d), by this mechanism, a Si surface with uniform and dense nano-pyramid can be obtained even with a noticeably short etching time of 90 seconds. A small etch loss along with a shorter etch time will be more advantageous for 50 µm-thick UT c-Si wafers. The magnified SEM images of the textured samples in plan and cross-sectional view show the produced pyramids are all sub micrometer scale, as shown in Figure (e) and (f). The origin of the nanoparticles induced by laser was analyzed by X-ray photoelectron spectroscopy (XPS). For comparative study, two Si wafers were deposited with 100 nm-thick SiO2 thin films. One wafer was subjected to the laser process while the other remained intact. Afterwards, both wafers were treated in HF solution for 2 minutes to remove the SiO2 thin film, and XPS spectra were taken. The XPS spectra in Fig. 4(g)-(h) revealed that a [Si]/[O] ratio and a Si-O bond peak increase after laser irradiation, supporting the nanoparticles are made of SiO2 and generated by a laser passed through the nano-lens. The detailed values of the characteristic peaks in the XPS spectra are summarized in Table 1. To investigate the effect of the nanolens for laser focusing, the same laser processing experiment without nanolens was conducted on SiO2 coated Si wafers. We observed that the formation of the SiO2 nanoparticles was greatly suppressed, and as a result, the pyramid textures were non-uniformly formed and the texturing could not be completed at a given process time of 90 s. The SEM images of the Si wafers for the laser-assisted texturing cases with and without nanolens are presented in Figure S2 for reference with different texturing process time.
Table 1
XPS element analysis of the Si wafers without and with laser processing: binding energy, FWHM of Si 2p, O1s peaks, and O/Si atomic ratio.
Sample | Element | Binding Energy (eV) | FWHM (eV) | [O]/[Si] |
Bare Si wafer | Si 2p | 99.36 | 1.39 | 0.009 |
O 1s | 532.14 | 2.65 |
Laser-processed | Si 2p | 99.34 | 1.44 | 0.156 |
O 1s | 532.26 | 2.6 |
3.4 Light trapping performance of textured UT-Si
The size distribution of the pyramids in the nanotextured wafers was analyzed by image processing and shown in Fig. 5(a). The average size of the nanopyramids was 692 nm. For comparison, the Si wafers were also textured by a conventional KOH texturing process and in the same manner, the size distribution of the pyramids was analyzed and shown in Fig. 5(b). The average size of the pyramids was 5.76 µm, which is a typical pyramid size produced in a standard KOH texturing process. Effective light trapping in 50 µm-thick UT c-Si wafers is more demanded compared with the case of a conventional solar grade wafers with a 200 µm thickness.10,32 In Fig. 5(c), the total reflectance of 50 µm-thick UT c-Si wafers with a planar surface, a typical micro-pyramid textured surface, and a nano-pyramid textured surface by a laser-assisted texturing process are compared. It can be seen that the total reflectance of the nano-pyramid textured Si wafer is lower at a short wavelength of 400 nm or less, but slightly higher at a long wavelength of 800 nm or more compared with the micro-pyramid textured Si wafer. The solar weighted reflectances for the micro-pyramid and nano-pyramid textured sample were calculated and were 13.09% and 13.81%, respectively. The results show that the reflectance loss in the nano-pyramid textured sample is comparable to the nano-pyramid one. Additionally, the total reflectance of a sample deposited with single layer anti-reflection coatings (SLARC) of 75 nm ZnS on a nano-pyramid textured Si wafer and a double layer (DL) ARC sample combining 105 nm MgF2 and 52 nm ZnS were also measured and shown in Fig. 5(d).33 The calculated weighted reflectance of the SLARC and DLARC structures were 6.72% and 4.82%, respectively. If the uniformity of the laser-assisted texturing process is improved in the future, the overall light trapping performance of the nano-pyramid texture can be improved.
3.5 Mechanical flexibility of UT c-Si wafers
In order to analyze the surface texturing effects on flexural strength, a 4-point bending test was conducted using single-side textured Si wafers. Because of the catastrophic failure of the Si wafers, more than 30 4-point bending tests were conducted for each sample. 4-point bending tests were performed using a bending jig with distances between the support and load spans of 8 mm and 4 mm. The schematic of our 4-point testing setup is illustrated in Fig. 6(a). The bending samples were fabricated with width and length of 3 mm and 13 mm by laser scribing after surface texturing process. Also, textured surface is located on support span to apply tensile deformation and analyze the surface texturing effect on flexural strength. Through 4-point bending tests, flexural strength can be calculated using Eq. (1) 34,35:
$${\sigma }_{f}= \frac{3PL}{4w{t}^{2}}$$
1
where P, L, w, and t are the fracture force, distance between support spans, width of sample, and sample thickness. Figure 6(b) shows the Weibull analysis based on results of 4-point bending tests. Weibull analysis is a method for brittle materials such as silicon to analyze the stress distribution. Through Weibull analysis, characteristic strength (\({\sigma }_{0}\)) and Weibull modulus (m) can be obtained for each texturing condition.
$$P\left({V}_{0}\right)=exp[-({\frac{\sigma -{\sigma }_{u}}{{\sigma }_{0}})}^{m}]$$
2
In Eq. (2), P(\({V}_{0}\)), σ and \({\sigma }_{u}\) are the survival probability of the material, applied stress and threshold stress, respectively. Threshold stress is equal to 0 when the material has brittle fracture. Therefore, Eq. (2) can be revised to Eqs. (3) and (4):
$$P\left({V}_{0}\right)=exp[-({\frac{\sigma }{{\sigma }_{0}})}^{m}]$$
3
$$lnln\left[\frac{1}{P\left({V}_{0}\right)}\right]=m(ln\sigma -ln{\sigma }_{0})$$
4
The characteristic strength and Weibull modulus can be obtained by Weibull distribution graph of Fig. 6(b) and Eq. (4) 36,37. The characteristic strength corresponds to a survival probability of 37%, and Weibull modulus means distribution of the strength. Because Weibull modulus is obtained by slope of graph in Fig. 6(a), a lower value means a larger stress distribution. As a result of Weibull analysis, the characteristic strengths of non-, nano-, and micro-textured Si wafers were 186.0 MPa, 103.8 MPa, and 91.0 MPa, respectively. The surface texture acts as a stress concentrator, and the strength of textured Si wafers is lowered. Based on previous research 35,38, in case of a single notch, stress concentration is independent of notch angle when the notch angle is less than 90°, and notch depth and tip radius affects stress concentration. When the nano- and micro-texture are compared, tip radii of nano- and micro-texture are 29 nm and 28 nm, respectively. Also, the maximum notch depths of nano- and micro-textures are 1 µm and 10 µm, respectively. Although the tip radii of nano-texture and micro-texture are similar, the notch depth of micro-texture is much deeper than that of nano-texture. Therefore, the characteristic strength of nano-textured Si samples is greater than that of micro-textured Si samples. Weibull moduli of non-, nano-, micro-textured samples are 3.58, 4.77, and 5.27, respectively. In other words, the stress distribution of non-textured Si samples is wider than that of textured Si wafers. It means that a flexural strength of non-textured Si samples is dominated by the highest stress concentrator that can be included stochastically. In case of textured samples, surface textures act as a highest stress concentrator, and they dominate in flexural strength. Also, Weibull modulus of micro-textured Si samples is higher than that of nano-textured samples. It means that a larger stress concentration occurs in the micro pyramidal texture. Figure 6(c-e) show the images immediately before the fracture of three samples. Through these images, we obtained the critical bending radii. The critical bending radii were 27.2 (± 6.6) mm for non-textured samples, 45.2 (± 6.6) mm for nano-textured samples, and 53.9 (± 12.5) mm for micro-textured samples. The critical bending radius of nano-textured samples is 19.2% smaller than that of micro textured samples. All the parameters extracted from the 4-point bending tests are summarized in Table 2.
Table 2
Weibull modulus(m), critical bending radius (Rcrit), characteristic strengths (σ0) of UT-Si wafers by Weibull distribution analysis.
Parameters | Planar | Nano-texture | Micro-texture |
m | 3.58 | 4.77 | 5.27 |
\({\sigma }_{0}\) (MPa) | 186.0 | 103.8 | 91.0 |
\({R}_{crit.}\) (mm) | 27.2 (± 6.6) | 45.2 (± 6.55) | 53.9 (± 12.5) |
3.6 Flexible UT-PERC solar cells: device performances, flexibility
PERC cells were fabricated with 50 µm-thick UT c-Si wafers with a planar texture, a typical micro-pyramid texture, and a nano-pyramid texture to compare their performances. The current-voltage characteristics measured under a standard solar irradiation of AM 1.5G with a 100 mW/cm2 light intensity are presented in Fig. 7(a). The external quantum efficiency (EQE) was also measured and shown in Fig. 7(b). It can be divided into a SLARC structure and a DLARC structure, and the overall performances of the UT-PERC cell are shown in Table 3. In both SLARC and DLARC structures, the UT-PERC cell with nano-pyramid textures showed the best efficiency. The average efficiency of the SLARC nano-pyramid UT-PERC cell was 18.25%, which was 0.15% higher in absolute efficiency than that of the micro-pyramid UT-PERC cell, 18.10%. The average efficiency of DLARC nano-pyramid UT-PERC cells was 18.56%, which was 0.16% higher in absolute efficiency than that of micro-pyramid UT-PERC cells, 18.40%. Apart from the ARC structure, it was confirmed that the difference between nano-pyramid and micro-pyramid showed a similar efficiency difference of about 0.15%. The champion device that showed the highest efficiency was a DLARC nano-pyramid UT-PERC cell with an efficiency of 18.68%. A closer look at the characteristics parameters of the nano-pyramid and micro-pyramid UT-PERC cells shows that there is no significant difference in Voc, the cells of the micro-pyramid structure are higher in Jsc, and the cells of the nano-pyramid structure are superior in FF. These results are thought to be due to the emitter formation properties of the nanostructures. The emitter profile formed in the nano-pyramid has a higher surface density and deeper junction depth than the conventional textured, which might be a reason for the loss in the lower current density and superior FF of the nano-pyramid UT-PERC cell. The J-V curve and EQE results in Fig. 7(a) and (b) show only the results of the champion device among the DLARC PERC cells with different surface condition.
Table 3
Performance parameters of the UT-Si wafer based solar cells with various textures and ARCs. The champion cell performance parameters in each cell are shown in parentheses.
ARC | Texture | Voc(mV) | Jsc(mA/cm2) | FF(%) | Eff(%) |
SLARC | Planar | 619.00 ± 2.40 (622) | 33.84 ± 0.34 (34.29) | 76.18 ± 0.30 (76.35) | 15.96 ± 0.25 (16.28) |
Micro | 620.80 ± 2.53 (622) | 38.01 ± 0.28 (38.25) | 76.84 ± 0.20 (76.88) | 18.10 ± 0.11 (18.31) |
Nano | 622.00 ± 2.80 (628) | 37.66 ± 0.20 (37.65) | 78.00 ± 0.22 (77.91) | 18.25 ± 0.10 (18.33) |
DLARC | Planar | 618.20 ± 1.79 (621) | 35.14 ± 0.13 (35.18) | 76.13 ± 0.10 (76.12) | 16.54 ± 0.10 (16.63) |
Micro | 620.33 ± 1.86 (623) | 38.54 ± 0.12 (38.56) | 76.96 ± 0.08 (77.12) | 18.40 ± 0.10 (18.53) |
Nano | 620.14 ± 2.03 (624) | 38.34 ± 0.10 (38.32) | 78.08 ± 0.14 (78.13) | 18.56 ± 0.17 (18.68) |
The bending radius test with the fabricated UT-PERC cells was performed using the specially designed bending test jigs with different bending radius shown in Figure S3 to check if the result of the flexibility experiment conducted through the bare wafer has any difference in the actual cell stage. With each UT-PERC cell having a planar surface, a typical micro-pyramid textured surface, and a nano-pyramid textured surface could be used to identify a critical bending radius at which the cell fracture occurs. Interesting results from critical bending radius tests of UT-PERC cells with different surface structures can be seen in Fig. 7(c). A critical bending radius of planar UT-PERC cells were 26 mm, micro-pyramid UT-PERC cells were 28 mm and a critical bending radius of nano-pyramid UT-PERC cells were 26 mm, respectively. The nano-pyramid UT-PERC cells reduced the critical bending radius by 2 mm compared with micro-pyramid UT-PERC cells. The critical bending radius of nano-pyramid UT-PERC cells was found to be equivalent to that of planar UT-PERC cells, but it is necessary to look more closely at the 28 mm test results. When looking at the test results at a bending radius of 28 mm where the fracture started, planar samples had a breakage probability of 50%, while nano-pyramid samples had a breakage probability of 40%. The critical bending radius test results of these UT-PERC cells are consistent with the previous 4-point bending test results. The nano-pyramid samples clearly show higher mechanical flexibility than the micro-pyramid samples. The nano-pyramid samples do not show a significant difference compared to the planar samples but show slightly improved mechanical flexibility. In the additional cycle bending test, as shown in Fig. 7 (d), micro-pyramid UT-PERC cells showed a decrease in efficiency of 4.3% compared to the initial efficiency after 1,000 bending tests, whereas planar UT-PERC cells and nano-pyramid UT-PERC cells showed a decrease in efficiency of 3.0% and 2.0%, respectively. As shown in Fig. S7, this decrease in efficiency after the cycle bending test is mainly due to the decrease in FF and series resistance. It is thought that the series resistance increased as the electrode was damaged during the bending test.