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The Method of Redox Reaction & Metal-Induced Chemical Etching

Chapter 2 Solar Cell Characteristics

3.3 Direct Electrical Contact of Slanted ITO Film on Axial p-n Junction Silicon

3.3.1 The Method of Redox Reaction & Metal-Induced Chemical Etching

Fig. 3. 14 (a) Primary fabrication scheme of vertically aligned axial p-n junction SiNW SC. The corresponding energy-band diagram of the device (marked by the red square-frame) is also plotted in the figure. (b) Cross-sectional SEM image of the proposed SiNW SC. Inserts: top-view SEM image of slanted ITO film (left-up) and cross-sectional SEM image of metal-induced anisotropic chemically etched SiNWs (left-down). All scale bars are 1μm.

Figure 3.14(a) illustrates fabrication process of the proposed SiNW SC using

oblique-angle deposition scheme. The primary process sequence includes following steps: (1) Formation of p-n junction on n-type (0.02 Ω-cm) (100)-oriented crystalline Si substrate by means of the diborane (B2H6) diffusion in the quartz furnace at 850°C; (2) immersion in aqueous solution of 4.8M HF/0.005M AgNO3 to facilitate the redox reaction and form Ag nano-particles on the top of wafer surface (4Ag+ + Si + 6F- → 4Ag + [SiF6]2- ) [3.46]; (3) metal-induced anisotropic chemical etching to form SiNWs by immersing in aqueous solution of 4.8M HF/0.5M H2O2 with assistance of Ag nano-particles that functions as the catalyst for Si oxidation (Si + 2H2O2 + 6HF → H2SiF6 + 4H2O) [3.47]; (4) chemical cleaning by rinsing HNO3 solution to dissolve the

remaining Ag nano-particles and remove other contaminations in SiNWs; and (5) oblique-angle deposition by RF magnetron sputtering to selectively grow slanted indium-tin-oxide (ITO), which interconnects the top (p-type) of individual SiNWs and provides a continuous and conductive film for the subsequent mask-evaporation of silver front grid. The corresponding energy-band diagram of the device is also plotted in the figure.

Figure 3.14(b) shows the cross-sectional scanning electron microscopy

(SEM) image of the device. The top-view SEM image of slanted ITO film (left-up) and cross-sectional SEM image of SiNWs (left-down) are also inserted in the figure.

Accordingly, the nanowires are randomly distributed and vertically aligned with 2μm in length, which is controllable by the duration time of chemical etching. The typical wire diameter from SEM is 10–100nm with 35% area density, similar to previous reports using the same SiNW synthesis approach [3.48]. Furthermore, because of the shadowing effect provided by the SiNWs [3.49], [3.50], the incident ITO vapor-flow (θ

= 60°) is deposited preferentially on top of the SiNWs, and it eventually coalesces altogether. This coalescence forms an optically transparent and electrically conductive ITO film (d = 400nm) with a nearly continuous surface morphology (RMS = 30.7nm), providing an excellent platform for the subsequent fabrication of grid electrode.

3.3.2 Results and Discussion

Figure 3.15(a) shows the X-ray diffraction (XRD) patterns of the slanted ITO film for

different rapid thermal annealing (RTA) treatments (T = 250–475°C) to improve the crystallographic quality and electrical conductivity. Accordingly, the diffraction peaks of slanted ITO film that underwent RTA treatment exhibit the crystallographic cubic structure with preferred orientations in the (211), (222), (400), (440), and (622) planes, those were observed at 2θ = 21.8°, 30.86°, 35.68°, 51.22°, and 60.78°, respectively.

Fig. 3. 15 (a) XRD patterns of the slanted ITO film for different RTA treatments temperature ranging from T = 250°C to T = 475°C. (b) FWHM of (222) XRD diffraction peak (red dot) and the measured resistivity (black square) of slanted ITO film versus RTA temperature. The sheet resistance, carrier concentration, and Hall mobility of slanted ITO film that underwent RTA treatment of T = 450°C are also summarized in the figure.

With the increasing of RTA temperature till to T = 450°C, the measured diffraction peaks become higher and sharper, especially for the (222) diffraction peak. It suggests that the degree of crystallinity of the slanted ITO film is gradually improved for higher RTA temperature, attributable to the sufficient thermal energy that provides the diffusion of deposited atoms, and thus redistributes them much orderly; however, further increasing of RTA treatment to T = 475°C will adversely affect the crystallographic quality as the (222) diffraction peak of slanted ITO film is obviously reduced.

Figure 3.15(b) plots the full-width at half maximum (FWHM) of the (222)

diffraction peak and the measured resistivity of slanted ITO film versus the RTA temperature. Indeed the lowest FWHM of 0.6° was observed on the RTA temperature of

T = 450°C, which corresponds to 14.3 nm of the grain size of slanted ITO film

estimated by the Scherrer formula [3.51]. The electrical analysis of slanted ITO film is characterized by means of four-point probe and Hall measurement. The Hall measurements are taken in a Van-der-Pauw geometry at room temperature under a nominal magnetic field of 1.5T. Accordingly, the measured resistivity also exhibits the

lowest value of 1.07x10−3 Ω-cm at RTA temperature of T = 450°C, which is one order of magnitude higher than that of planar one due to the inherited porosity structure of slanted ITO film that increases the electron scattering [3.52]. Nevertheless it is still acceptable to perform as a transparent conductive film for photovoltaic applications, and the RTA temperature is therefore determined to be T = 450 °C. The sheet resistance of slanted ITO film with a measured thickness of 350 nm is 30.6Ω/☐, while the corresponding doping concentration and carrier mobility amount to 3.7x1020 cm−3, and 15.8 cm2/V-s, respectively, with an n-type doping polarity.

Fig. 3. 16 (a) Photographs of three representative samples including bare silicon with (center) and without (left) quarter-wavelength ARC, and the porposed SiNW SC (right). The dimension size of all samples is identical to be 1cm × 1cm. (b) (Top) Measured reflectivity as a function of normal-incident wavelength for all samples. ASTM air mass 1.5 direct and circumsolar solar spectrum (λ = 400–700nm) is also plotted in the figure. (Bottom) Angular-dependent reflectivity (θ = 10°–70°) of all samples measured by an incident light of He-Ne laser (λ = 632.8nm) for both TE and TM polarizations. (c) Optical absorption obtained by A(θ, λ) = 1- R(θ, λ) for all samples.

The following discussion concerns the optical characteristics of the samples of interest. Three different samples, including the planar Si wafer coated with and without quarter-wavelength antireflection coating (ARC), and the proposed SiNWs solar cell, were fabricated and compared in this work.

Figure 3.16(a) shows the photographs of

representative samples with the identical sizes of 1cm × 1cm. The planar Si wafer (left) has a mirror-like surface, and becomes to reddish colour with ARC (center). Visually, the proposed SiNW SC (right) displays the darkest appearance compared to the other samples, suggesting the oblique-angle deposition of slanted ITO film barely affacts the low reflectivity of SiNWs [3.53]. Furthermore, the image contour is uniform with reasonable fluctuations, indicates that the fabrication process of proposed SiNW SC is stable and reliable. In the top of

Fig. 3.16(b), we plot the measured reflectivity versus

the incident wavelength of λ = 400–700nm for all samples. The profile of measured reflectivity of planar Si wafer (black line) decreases monotonically from R = 48.5% to

R = 33.9% as the incident wavelength increases, because of the slight decrease of the

refractive index of Si with wavelength. On average, the reflectivity of the planar Si wafer is R = 38.1%. The measured reflectivity is reduced for unmodified Si wafer with the quarter-wavelength ARC (blue line), and exhibits nearly perfect anti-reflectivity at the incident wavelength of λ = 500nm where the strongest irradiance over the solar spectrum occurs. However, the corresponding average reflectivity of R = 21.3% is still too high to harvest sunlight efficiently. Significantly, the proposed SiNW SC shows a reduction in reflectivity of one order of magnitude over the full spectrum of visible-light, and the measured profile stays steady with variation of incident wavelengths. This decrease is primarily caused by the randomly distributed SiNWs, which effectively scatters and traps incident photons, resulting in the suppression of optical reflection between interfaces. As a result, an extremely low reflectivity with average value of R = 5.1% is achievable over the visible-light spectrum. It shall be noted here that in the industry of solar cell, the device surface was generally textured by the chemical wet etching or reactive-ion dry etching before antireflection coating, which significantly reduces reflection losses in solar cells and achieves a low

reflectivity of about 10% [3.54]. However, in this work, the quarter-wavelength ARC was deposited directly on the planar Si wafer without the treatment of surface texture.

Thus the average reflectivity of our Si wafer deposited with ARC is almost twice that of the industry sample with surface treatment. Nevertheless, the average reflectivity of our proposed SiNWs SC is around half that of the industry sample, suggesting its great potential for photovoltaic applications.

To evaluate the effect of incident angle of sunlight on the PEC throughout the operating day of a non-tracking solar cell,

Fig. 3.16(b) also performs the

angular-dependent reflectivity, R(θ, λ), based on a incident light of He-Ne laser (λ = 632.8nm), and a broad range of incident angles (θ = 10°–70°), as well as for the transverse electric (TE) and transverse magnetic (TM) polarizations. Accordingly, the measured profiles of the all sample display a fundamental behavior of the external reflection [3.55], i.e. for TM light, the reflectivity gradually decreases with θ until reaching the Brewster angle, thus leading to lower reflectance than that of TE light.

Nevertheless, the measured reflectivity of the proposed SiNW SC is relatively insensitive to θ and the polarization of incident light. Additionally, the corresponding reflectivity is significantly lower than those of the other samples for both TE and TM polarizations. Above observations associated with the angular-dependent reflectivity shows that the proposed SiNW SC has a great advantage over the other two competitors in terms of the collection of solar energy regardless of sun’s location in the sky.

Similarly, the optical absorption of all samples obtained by A(θ, λ) = 1 – R(θ, λ) were plotted in Fig. 3.16(c), where the transmission is negligible because the thickness of the wafer substrate is larger than 200 μm. Across the incident wavelengths studied here, the peak absorption of planar Si wafer (top) is relatively low, limiting the practical applications for solar cells. With the assistance of the quarter-wavelength ARC

(middle), the optical absorption is mainly increased at incident wavelengths of λ = 500

± 50nm, in which the destructive interference of incident light occurs, causing A(θ, λ) to exhibit a band-like profile. Thus the overall enhancement of optical absorption is still insignificant. Restated, the proposed SiNWs SC (bottom) cannot only suppresses the optical reflection, but virtually eliminates the angular sensitivity of A(θ, λ).

Consequently, the corresponding A(θ, λ) is dramatically enhanced and nearly angle-independent over the full visible-light spectrum.

Fig. 3. 17 Electrical performance of the proposed SiNW SC (a) Semi-log plot of current density vs.

voltage (J-V) behavior both in the dark and under AM 1.5G simulated sunlight illumination. Insert:

photography of actual device with the dimension of 2cmx2cm (right-hand side). J-V curves of SiNW arrays deposited with standard ITO film (left-hand side). The series (RS) and shunt (RSH) resistances, and the reverse current (JR) and ideality factor (n) extracted from the dark J-V curve are also summarized in the figure. (b) The same J-V current plotted in a linear scale. Insert: the corresponding power-density vs.

voltage curve.

To characterize the electrical properties of the proposed SiNW SC, current density versus voltage (J-V) is measured both in dark conditions and AM 1.5G normal illumination (100mW/cm2, 1sun) at room temperature. Figure 3.17(a) displays the J-V characteristics of the proposed SiNWs SC on a semi-log scale both in the dark and under light. The photography of actual device with the dimension of 2cm x 2cm is also inserted in the figure. According to the dark J-V curve, leakage currents in the order of

9.95x10−5 A at −1V are measured and the rectification ratio of 45 (± 1V) is achieved, exhibiting a well-behaving current rectification of p-n junction. The series and shunt resistances extracted from the dark J-V curve are 118Ω and 7.5kΩ, respectively. As compared to the standard bulk Si solar cells [3.56], the relatively large series resistance of the proposed SiNW SC mainly stems from a doping mis-alignment of the type p/n+ for top SiNW/slanted ITO, which induces a potential barrier and increases the contact resistance hindering the extraction of drifted carriers (holes) outside the device, as the depiction of energy-band diagram shown in Fig. 3.14(a). While the much smaller shunt resistance is mainly due to the high surface to volume ratio in the SiNWs, which exacerbates the surface recombination that generally accompanies with high values of p-n junction reverse current (JR = 3.7 μA) and ideality factor (n = 2.9) [3.57].

Additionally, such high JR

and n values also indicate a high density of localized states

in the SiNWs, which acts as generation-recombination centers of phtogenerated minority carriers [3.58], and diminishes the ultimate PEC of the device as well. It suggests that for our future study the surface passivation in the proposed SiNW SC is necessary as such structure retains an extremely high surface-to-volume ratio. For comparison, the J-V curves of SiNW arrays deposited with standard ITO film (perpendicular angle, θ = 0°) both in the dark and under AM 1.5G illumination were plotted and inserted in

Fig. 3.17(a). The measured J-V curves of the SiNW arrays

deposited with standard ITO film in the dark and under light are almost identical, and are symmetrical for the applied bias-voltage from −1 to 1V. Notably, no current rectification behavior is observed. It is because that the perpendicular ITO vapor-flow was deposited conformally onto surfaces of nanowires, bypassing the p-n junction region of SiNWs and thus exhibiting the bulk-like electrical property. Most importantly, it indicates that our proposed scheme by means of oblique-angle deposition of slanted

ITO film to make an electrical contact on the axial p-n junction SiNW SC is reliable and promising.

Figure 3.17(b) re-plots the J-V curves in linear scale both in the dark and under

light to identify several important parameters of the proposed SiNW SC. The power-density versus voltage curve is also inserted in the figure. Under AM 1.5G illumination, a clear boost of measured current was observed in the reverse-bias region.

The device exhibits an open circuit voltage (VOC) of 0.56V, and a short circuit current (JSC) of 1.54mA/cm2 with a fill factor (FF) of 30% resulting in a total PEC of 0.26%.

The small values of JSC and FF of the device can mainly be blamed to the un-optimized alignment of doped polarity obstructing the collection of drifted current, as well as the undesirable surface recombination consuming the photogenerated minority carriers, all of which leads the device’s maximum power-density as small as 0.26mW/cm2 .

3.3.3 Conclusions

In conclusion, this work presents a novel approach using oblique-angle deposition of slanted ITO film to integrate metal-induced chemical-etching SiNW arrays into solar cells. Our prototype SiNW solar cells show efficiencies up to about 0.26%, much lower than that of standard bulk Si solar cell, yet with great potential based on the analysis of angular-dependent reflectivity. Ongoing research in the future to enhance the efficiency of the device is focused on decreasing series resistance and increasing shunt resistance by appropriately aligning doped polarity of contact materials, and by diminishing the interfacial recombination of photocarriers via surface passivation.

References

[3.1] C. B. Honsberg, A. M. Barnett and D. Kirkpatrick, “Nanostructured Solar Cells for High Efficiency Photovoltaics,” Photovoltaic Energy Conversion, Conference Record of the 2006 IEEE 4th World Conference on, 2, 2565 - 2568 (2006).

[3.2] S. M. Wong, H. Y. Yu, J. S. Li, G. Zhang, Patrick G. Q. Lo, and D. L. Kwong,

“Design High-Efficiency SiN nanopillar-Array-Textured Thin-Film Solar Cell,”

IEEE Electron. Device. Lett., 31, 335, 2010.

[3.3] A. Luque, and A. Martí, “A Metallic Intermediate Band High Efficiency Solar Cell,” Progress in Photovoltaics, 9, 73-86 (2001).

[3.4] R. T. Ross, “Efficiency of hot-carrier solar energy converters,” Journal of Applied Physics, 53(5), 3813-18 (1982).

[3.5] J. Zhu, C.-M. Hsu, Z.F. Yu, S.H. Fan, and Y. Cui, “Nanodome Solar Cells with Efficient Light Management and Self-Cleaning,” Nano Lett., 10, 1979–1984 (2010).

[3.6] S. M. Lindner, S. Hüttner, A. Chiche, M. Thelakkat, and G. Krausch, “Charge Separation at Self-Assembled Nanostructured Bulk Interface in Block Copolymers,” Angew. Chem. Int. Ed., 45(20), 3364–3368 (2006).

[3.7] C. H. Chiu, P. Yu, H. C. Kuo, C. C. Chen, T. C. Lu, S. C. Wang, S. H. Hsu, Y. J.

Cheng, and Y. C. Chang, “Broadband and omnidirectional antireflection employing disordered GaN nanopillars,” Opt. Express, 16(12), 8748–8754 (2008).

[3.8] J. Li, H.Y. Yu, S. M. Wong, X. Li, G. Zhang, P. G.-Q. Lo, and D.-L. Kwong,

“Design guidelines of periodic Si nanowire arrays for solar cell application,” Appl.

Phys. Lett., 95(24), 243113 (2009).

[3.9] J. Son, L. K. Verma, A. J. Danner, C. S. Bhatia, and H. Yang, “Enhancement of

optical transmission with random nanohole structures,” Opt. Express, 19(S1), A35–A40 (2011).

[3.10] J. Zhu, Z. F. Yu, G. F. Burkhard, C. M. Hsu, S. T. Connor, Y. Q. Xu, Q. Wang, M. McGehee, S. H. Fan, and Y. Cui, “Optical absorption enhancement in amorphous silicon nanowire and nanocone arrays,” Nano Lett., 9(1), 279–282 (2009).

[3.11] Y. M. Song, S. J. Jang, J. S. Yu, and Y. T. Lee, “Bioinspired parabola subwavelength structures for improved broadband antireflection,” Small, 6(9), 984–987 (2010).

[3.12] J. Zhu, Z.F. Yu, G. F. Burkhard, C.-M. Hsu, S. T. Connor, Y.Q. Xu, Q. Wang, M. McGehee, S.H. Fan, and Y. Cui, “Optical Absorption Enhancement in Amorphous Silicon Nanowire and Nanocone Arrays,” Nano Lett., 9(1), 279-282 (2009).

[3.13] J. A. Vollgraff, “Snellius’ notes on the reflection and refraction of rays,”

Osiris, 1, 718–725 (1936).

[3.14] G. A. Boutry, “Augustin Fresnel: His time, life and work 1788–1827,”

Science Progress, 36, 587–604 (1948).

[3.15] “Novel thin films target device applications,” http://optics.org/article/33672 (2008).

[3.16] Y.-P. Zhao, D.-X. Ye, G.-C. Wang and T.-M. Lu, “Designing Nanostructures by Glancing Angle Deposition,” Nanotubes and Nanowires in Proc. of SPIE, 5219, 1-73 (2003).

[3.17] J. G. W. van de Waterbeemd and G. W. van Oosterhout, Philips Res. Rep., 22, 375 (1967).

[3.18] A. Lisfi and J. C. Lodder, “Magnetic domains in Co thin films obliquely

sputtered on a polymer substrate,” Phys. Rev. B, 63, 174441 (2001).

[3.19] J. M. Nieuwenhuizen and H. B. Haanstra, “Microfractography of thin films,”

Philips Tech. Rev., 27, 87 (1966).

[3.20] R. N. Trait, T. Smy, and M. J. Brett, “Modeling and characterization of columnar growth in evaporated-films,” Thin Solid Films, 226, 196 (1993).

[3.21] J.-Q. Xi, J. K. Kim, E. F. Schubert, D. Ye, T.-M. Lu, and S.-Y. Lin, “Very low-refractive-index optical thin films consisting of an array of SiO2 nanorods,”

Optics Lett., 31(5), 601-603 (2006).

[3.22] “Application Note Four-Probe Resistivity and Hall Voltage,”

http://www.ebookmanualbop.net/detail/application-note-four-probe-resistivity-and-hall-voltage-36229/ (Ebook Manuals).

[3.23] D. Heiman, “van der Pauw Hall Effect Measurement,”

http://nuweb.neu.edu/dheiman/U600/vdPauw.pdf (Physics U600–AdvPhysLab-1, Northeastern University, 2009).

[3.24] Edwin Hall., “On a New Action of the Magnet on Electric Currents,”

American Journal of Mathematics, 2 (3), 287–92 (1879).

[3.25] “Hall Effect,” http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/hall.html (HyperPhysics site).

[3.26] “Resistivity and Hall Measurements,” http://www.nist.gov/pml/div683/hall_

resistivity.cfm#sample (Physical Measurement Laboratory, The National Institute of Standards and Technology).

[3.27] G.-R. Lin, H.-C. Kuo, H.-S. Lin, and C.-C. Kao, “Rapid self-assembly of Ni nanodots on Si substrate covered by a less-adhesive and heat-accumulated SiO2

layers,” Appl. Phys. Lett., 89(7), 073108 (2006).

[3.28] Y.-P. Zhao, D.-X. Ye, G.-C. Wang, and T.-M. Lu, “Designing nanostructures

by glancing angle deposition,” Proc. SPIE, 5219, 59–73 (2003).

[3.29] A. Lisfi and J.C. Lodder, “Magnetic domains in Co thin films obliquely sputtered on a polymer substrate,” Phys. Rev. B, 63(17), 174441 (2001).

[3.30] Y.-J. Lee, S.-Y. Lin, C.-H. Chiu, T.-C. Lu, H.-C. Kuo, S.-C. Wang, S. Chhajed, J. K. Kim, and E. F. Schubert, “High output power density from GaN-based two-dimensional nanorod light-emitting diode arrays,” Appl. Phys. Lett., 94(14), 141111 (2009).

[3.31] F. Wang, H. Y. Yu, J. Li, X. Sun, X. Wang, and H. Zheng, “Optical absorption enhancement in nanopore textured-silicon thin film for photovoltaic application,”

Opt. Lett., 35(1), 40–42 (2010).

[3.32] F. Flory, L. Escoubas, and G. Berginc, “Optical properties of nanostructured materials:a review,” J. Nanophoton., 5, 052502 (2011).

[3.33] D. E. Aspnes and J. B. Theeten, “Investigation of effective-medium models of microscopic surface roughness by spectroscopic ellipsometry,” Phys. Rev. B, 20(8), 3292–3302 (1979).

[3.34] J. Jackson, Classical Electrodynamics (Wiley, New York, 1999).

[3.35] B.-S. Chiou, J.-H. Tsai, “Antireflective coating for ITO films deposited on glass substrate,” J. Mater. Sci.: Mater. Electron., 10, 491-495 (1999).

[3.36] W. Q. Xie, W. F. Liu, J. I. Oh, and W. Z. Shen, “Optical absorption in c-Si/a-Si:H core/shell nanowire arrays for photovoltaic applications,” Appl. Phys.

Lett. 99(3), 033107 (2011).

[3.37] H. Bao and X. Ruan, “Optical absorption enhancement in disordered vertical silicon nanowire arrays for photovoltaic applications,” Opt. Lett., 35(20), 3378–3380 (2010).

[3.38] J.-Q. Xi, M. F. Schubert, J. K. Kim, E. F. Schubert, M. Chen, S.-Y. Lin, W.

Liu, and J. A. Smart, “Optical thin-film materials with low refractive index for broadband elimination of Fresnel reflection,” Nature Photon., 1, 176–179 (2007).

[3.39] S. Chhajed, M. F. Schubert, J. K. Kim, and E. F. Schubert, “Nanostructured multilayer graded-index antireflection coating for Si solar cells with broadband and omnidirectional characteristics,” Appl. Phys. Lett. 93(25), 251108 (2008).

[3.40] P. Yeh, Optical Waves in Layered Media (Wiley, Hoboken, New Jersey, 1998).

[3.41] P. Bermel, C. Luo, L. Zeng, L. C. Kimerling, and J. D. Joannopoulos,

“Improving thin-film crystalline silicon solar cell efficiencies with photonic crystals,” Opt. Express, 15(20), 16986–17000 (2007).

[3.42] ASTMG173-03, Standard Tables for Reference Solar Spectral Irradiances:

Direct Normal and Hemispherical on 37 degree Tilted Surface (ASTM

International, West Conshohocken, Pennsylvania, 2005).

[3.43] C. Henry, “Limiting efficiencies of ideal single and multiple energy gap terrestial solar cells,” J. Appl. Phys., 51, 4494–4500 (1980).

[3.44] M. D. Kelzenberg, S. W. Boettcher, J. A. Petykiewicz, D. B. Turner-Evans, M.

C. Putnam, E. L. Warren, J. M. Spurgeon, R. M. Briggs, N. S. Lewis, and H. A.

Atwater1, “Enhanced absorption and carrier collection in Si wire arrays for photovoltaic applications,” Nat. Mater., 9, 239–244 (2010).

[3.45] B. Marion, B. Kroposki, K. Emery, J. del Cueto, D. Myers, and C. Osterwald, Validation of a photovoltaic module energy ratings procedure at NREL. Report No.

NREL/ TP-520-26909 (1999).

[3.46] A. I. Hochbaum, D. Gargas, Y. J. Hwang, and P. D. Yang, “Single crystalline mesoporous silicon nanowires,” Nano Lett., 9(10), 3550–3554 (2009).

[3.47] X. Li and P. W. Bohn, “Metal-assisted chemical etching in HF/H2O2

produces porous silicon,” Appl. Phys. Lett., 77(16), 2572 (2000).

[3.48] K. Peng, X. Wang, and S. T. Lee, “Silicon nanowire array photoelectrochemical solar cells,” Appl. Phys. Lett., 92(16), 163103 (2008).

[3.49] K. Robbie, J. C. Sit, and M. J. Brett, “Advanced techniques for glancing angle deposition,” J. Vac. Sci. Technol. B, 16(3), 1115–1122 (1998).

[3.50] Y. J. Lee, S.-Y. Lin, C.-H. Chiu, T.-C. Lu, H.-C. Kuo, S.-C. Wang, S. Chhajed, J. K. Kim, and E. F. Schubert, “High output power density from GaN-based two-dimensional nanorod light-emitting diode arrays,” Appl. Phys. Lett., 94(14), 141111 (2009).

[3.51] M. I. Mendelson, “Average grain size in polycrystalline ceramics,” J. Am.

Ceram. Soc., 52(8), 443–446 (1969).

[3.52] X. Xiao, G. Dong, J. Shao, H. He, and Z. Fan, “Optical and electrical properties of SnO2:Sb thin films deposited by oblique angle deposition,” Appl. Surf.

Sci., 256(6), 1636–1640 (2010).

[3.53] Y.-C. Yao, M.-T. Tsai, H.-C. Hsu, L.-W. She, C.-M. Cheng, Y.-C. Chen, C.-J.

Wu, and Y.-J. Lee, “Use of two-dimensional nanorod arrays with slanted ITO film to enhance optical absorption for photovoltaic applications,” Opt. Express, 20(4), 3479–3489 (2012).

[3.54] D. H. Macdonald, A. Cuevas, M. J. Kerr, C. Samundsett, D. Ruby, S.

Winderbaum, and A. Leo, “Texturing industrial multicrystalline silicon solar cells,”

Sol. Energy, 76(1-3), 277–283 (2004).

[3.55] M. Born and E. Wolf, Principles of optics, 7th edition (Cambridge University Press, Cambridge, U.K., 46, 1999).

[3.56] I. Tobias, C. del Canizo, and, J. Alonso, Handbook of Photovoltaic Science

and Engineering (Wiley, New York, 2004).

[3.57] M. A. Green, Solar Cells: Operating Principles, Technology and System

Applications (Prentice-Hall, Englewood Cliffs, New Jersey, 1982)

[3.58] E. C. Garnett and P. Yang, “Silicon nanowire radial p-n junction solar cells,” J.

Am. Chem. Soc., 130(29), 9224–9225 (2008).

Chapter 4 Polarization-induced Doping III-nitride n-i-p Solar Cells

4.1 Introduction

4.1.1 The Advantage of III-V nitride Semiconductor Compound