VOLUME NINETY
SEMICONDUCTORS AND SEMIMETALS Advances in Photovoltaics: Part 3 SERIES EDITORS
EICKE R. WEBER Director Fraunhofer-Institut fur€ Solare Energiesysteme ISE Vorsitzender, Fraunhofer-Allianz Energie Heidenhofstr. 2, 79110 Freiburg, Germany CHENNUPATI JAGADISH Australian Laureate Fellow and Distinguished Professor Department of Electronic Materials Engineering Research School of Physics and Engineering Australian National University Canberra, ACT 0200 Australia VOLUME NINETY
SEMICONDUCTORS AND SEMIMETALS Advances in Photovoltaics: Part 3
Edited by
GERHARD P. WILLEKE Fraunhofer Institute for Solar Energy Systems ISE, Freiburg, Germany
EICKE R. WEBER Fraunhofer Institute for Solar Energy Systems ISE, Freiburg, Germany
AMSTERDAM • BOSTON • HEIDELBERG • LONDON NEW YORK • OXFORD • PARIS • SAN DIEGO SAN FRANCISCO • SINGAPORE • SYDNEY • TOKYO Academic Press is an imprint of Elsevier Academic Press is an imprint of Elsevier 32 Jamestown Road, London NW1 7BY, UK 525 B Street, Suite 1800, San Diego, CA 92101-4495, USA 225 Wyman Street, Waltham, MA 02451, USA The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, UK
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ISBN: 978-0-12-388417-6 ISSN: 0080-8784
For information on all Academic Press publications visit our website at store.elsevier.com CONTENTS
Contributors vii
1. State-of-the-Art Industrial Crystalline Silicon Solar Cells 1 Giso Hahn and Sebastian Joos
1. Introduction 4 2. Operation Principle of a c-Si Solar Cell 10
3. The Basic Firing Through SiNx:H Process 19 4. Recent Developments on Solar Cell Front Side 34 5. Advanced Emitter Formation 40 6. Industrial PERC-Type Solar Cells 51 7. Summary and Outlook 60 Acknowledgments 62 References 62 2. Amorphous Silicon/Crystalline Silicon Heterojunction Solar Cells 73 Christophe Ballif, Stefaan De Wolf, Antoine Descoeudres, and Zachary C. Holman
1. Introduction 74 2. Passivating c-Si Surfaces with a-Si:H 76 3. From Passivated Wafers to Complete Solar Cells 83 4. Losses in Silicon Heterojunction Solar Cells 95 5. Industrialization and Commercialization 99 6. Future Directions and Outlook 108 Acknowledgments 110 References 110 3. Overview of Thin-Film Solar Cell Technologies 121 Bernhard Dimmler
1. Introduction 121 2. Market Shares of TF in PV 123 3. TF Device Efficiencies in Laboratory and Industry 125 4. Future Developments of TF Technologies in PV 128 References 136
Index 137 Contents of Volumes in this Series 141
v This page intentionally left blank CONTRIBUTORS
Christophe Ballif Photovoltaics and Thin-Film Electronics Laboratory, Institute of Microengineering (IMT), Ecole Polytechnique Fe´de´rale de Lausanne (EPFL), Neuch^atel, Switzerland. (ch2) Stefaan De Wolf Photovoltaics and Thin-Film Electronics Laboratory, Institute of Microengineering (IMT), Ecole Polytechnique Fe´de´rale de Lausanne (EPFL), Neuch^atel, Switzerland. (ch2) Antoine Descoeudres Photovoltaics and Thin-Film Electronics Laboratory, Institute of Microengineering (IMT), Ecole Polytechnique Fe´de´rale de Lausanne (EPFL), Neuch^atel, Switzerland. (ch2) Bernhard Dimmler Manz AG, Reutlingen, Germany. (ch3) Giso Hahn Department of Physics, University of Konstanz, Konstanz, Germany. (ch1) Zachary C. Holman School of Electrical, Computer, and Energy Engineering, Arizona State University, Tempe, Arizona, USA. (ch2) Sebastian Joos Department of Physics, University of Konstanz, Konstanz, Germany. (ch1)
vii This page intentionally left blank PREFACE
The rapid transformation of our energy supply system to the efficient use of renewable energies remains to be one of the biggest challenges of mankind that increasingly offers exciting business opportunities as well. This truly global-scale project is well on its way. Harvesting solar energy by photovol- taics (PV) is considered to be a cornerstone technology for this transforma- tion process. This book presents the third volume in the series “Advances in Photovoltaics” in Semiconductors and Semimetals. This series has been designed to provide a thorough overview of the underlying physics, the important materials aspects, the prevailing and future solar cell design issues, production technologies, as well as energy system integration and character- ization issues. In this volume, three distinctly different solar cell technologies are covered in detail, ranging from state-of-the-art crystalline silicon tech- nology, the workhorse of the booming PV market, to one of the most advanced technologies, silicon heterojunction cells, and to an overview of thin film solar cell technologies. Therefore, this volume represents a corner- stone of “Advances in Photovoltaics,” as the first and the third chapter together cover more than 98% of the current PV world market volume. The second chapter provides a glimpse into the future of highly efficient crystalline Si PV technologies that will allow further decrease in the cost of PV-generated electricity available from premium modules with top per- formance produced at prices that will become competitive with present-day low-cost PV modules. Following the tradition of this series, all chapters are written by world-leading experts in their respective field. In the past 2 years, since the introduction to the first volume of this series has been written, the world PV market has undergone a decisive transfor- mation. Huge production overcapacity, established especially in Asia, resulted in rapidly declining prices, often to values beyond the production costs, when fire sales of module supplies were the only way to generate des- perately needed cash for financially stressed companies. Subsequently, many companies went into insolvency, followed by either restructuring under new ownership, often from abroad, or a complete shutdown of the produc- tion lines. The PV equipment manufacturers were especially hard hit, as they had to survive several years practically without any new orders.
ix x Preface
Today we experience a new development: decreasing global production capacity begins to meet further increasing PV market size, the growth of which is fueled worldwide by the low cost of solar electricity. The conse- quence of this process will be the further decentralization of electricity sup- ply, as PV systems increasingly allow owners of homes and industry to produce electricity on their own roofs and free areas, to the benefit of energy independence and the world climate, that desperately needs rapid further market penetration of renewables to decrease the emission of climate gases.
GERHARD P. WILLEKE AND EICKE R. WEBER Fraunhofer ISE, Freiburg, Germany CHAPTER ONE
State-of-the-Art Industrial Crystalline Silicon Solar Cells
Giso Hahn1, Sebastian Joos Department of Physics, University of Konstanz, Konstanz, Germany 1Corresponding author: e-mail address: [email protected]
Contents
1. Introduction 4 1.1 History 4 1.2 General routes for cost reduction 5 1.3 PV market today 7 1.4 Basic structure of an industrial c-Si solar cell 9 2. Operation Principle of a c-Si Solar Cell 10 2.1 Band diagram 10 2.2 Solar cell parameters 12 2.3 Fundamental efficiency limit of an ideal c-Si solar cell 13 2.4 Two-diode model 14 2.5 Radiative recombination 14 2.6 Auger recombination 15 2.7 SRH recombination 16 2.8 Surface recombination 17 2.9 Recombination and saturation current density 18 2.10 Optical losses 18 3. The Basic Firing Through SiNx:H Process 19 3.1 Wafer washing, texturization, and cleaning 20 3.2 Phosphorus diffusion 22 3.3 Edge isolation 25 3.4 SiNx:H deposition 25 3.5 Metallization via screen-printing 27 3.6 Solar cell characterization 33 4. Recent Developments on Solar Cell Front Side 34 4.1 Wafer sawing 34 4.2 Alkaline wafer texturing 35 4.3 Front contact metallization 35 5. Advanced Emitter Formation 40 5.1 Improvement of homogeneous emitters 41 5.2 Selective emitters 42 6. Industrial PERC-Type Solar Cells 51 6.1 Dielectric rear side passivation 52
Semiconductors and Semimetals, Volume 90 # 2014 Elsevier Inc. 1 ISSN 0080-8784 All rights reserved. http://dx.doi.org/10.1016/B978-0-12-388417-6.00005-2 2 Giso Hahn and Sebastian Joos
6.2 Formation of local rear contacts 54 6.3 Boron–oxygen related degradation 57 6.4 State-of-the-art industrial PERC solar cells 59 7. Summary and Outlook 60 Acknowledgments 62 References 62
ABBREVIATIONS A area ALD atomic layer deposition APCVD atmospheric pressure chemical vapor deposition ARC antireflective coating a-Si amorphous silicon BSF back surface field Bs substitutional boron concentration cA,n (cA,p) Auger recombination coefficient for electrons (holes) crad radiative recombination coefficient c-Si crystalline silicon Cz Czochralski d layer/wafer thickness dBSF + D diffusion constant in the BSF DI deionized Dn (Dp) diffusion constant of electrons (holes) E energy ECV electrochemical capacitance voltage EF (EFi) (intrinsic) Fermi energy level EFG edge-defined film-fed growth EFn (EFp) quasi-Fermi energy level of electrons (holes) Eg band gap energy Ephot photon energy EQE external quantum efficiency Et energetic position of the trap level EVA ethylene vinyl acetate FCA free carrier absorption FF fill factor FZ float zone h Planck’s constant HIT heterojunction with intrinsic thin-layer I current IBC interdigitated back contact IPA isopropyl alcohol IQE internal quantum efficiency j current density j0 saturation current density j01 ( j02) saturation current density of the first (second) diode j0e saturation current density of the emitter State-of-the-Art Industrial Crystalline Silicon Solar Cells 3
jl light-generated current density jsc short circuit current density k Boltzmann’s constant + L diffusion length in the BSF LFC laser fired contacts Ln (Lp) diffusion length of electrons (holes) LPCVD low pressure chemical vapor deposition mono-Si monocrystalline Si mpp maximum power point mc-Si multicrystalline Si n electron concentration + ++ n (n ) (very) highly n-doped n0 electron concentration in the dark NA (ND) acceptor (donor) concentration + NA acceptor concentration in the BSF nair (nSi, nSiN) refractive index of air (c-Si, SiN) ni intrinsic carrier concentration Nt trap density Nts areal trap density at the surface Oi interstitial oxygen p hole concentration + p highly p-doped p0 hole concentration in the dark PECVD plasma-enhanced chemical vapor deposition PERC passivated emitter and rear cell PERL passivated emitter and rear locally diffused PERT passivated emitter and rear totally diffused pphot photon power density PSG phosphor silicate glass Psurf phosphorous surface concentration Ptot total power loss PV photovoltaic q elementary charge R recombination rate RA Auger recombination rate Rrad radiative recombination rate Rs series resistance Rs,tot total series resistance RSRH Shockley-Read-Hall recombination rate Rsh shunt resistance Rsheet sheet resistance of the emitter s (sn)(sp) surface recombination velocity (of electrons or holes) sb surface recombination velocity at the backside SCR space charge region seff effective surface recombination SIMS secondary ion mass spectrometry SRH Shockley-Read-Hall STC standard test conditions (1000 W/m2, AM1.5g spectrum, 25 C) UMG upgraded metallurgical grade 4 Giso Hahn and Sebastian Joos
V voltage vn (vp) thermal velocity of electrons (holes) Voc open circuit voltage Wp Watt peak (power of 1 W under STC) α absorption coefficient ΔEF splitting of quasi-Fermi levels Δn excess charge carrier density η conversion efficiency Φ photon flux λ wavelength ρSi density of Si ρ resistivity σn (σp) capture cross section for electrons (holes) τA Auger lifetime τb bulk lifetime τeff effective lifetime τrad radiative lifetime τSRH Shockley, Read, Hall lifetime τ minority charge carrier lifetime
1. INTRODUCTION
Solar cells fabricated based on crystalline Si (c-Si) generate electricity from sunlight by absorbing photons and generating electron–hole pairs, which are separated by a pn-junction. The pn-junction creates an electric field in the semiconductor and the separated charge carriers have to leave the solar cell via electrical contacts to perform work in an external circuit. A solar cell in operation is therefore essentially an illuminated large area diode, where emitter and base regions are contacted by metals to extract the carriers.
1.1. History The first c-Si solar cell operating using the principle described above was reported in 1953 (Chapin et al., 1954), although research toward this achievement dates back to the 1940s (e.g., Ohl, 1941; Shockley, 1950). In the decades to follow, research was first directed toward application of the photovoltaic (PV) effect in space (powering satellites) or for terrestrial stand-alone systems. As for those applications the total cost of power gen- eration was not the main issue, research was mainly driven by improving the conversion efficiency η, which is the ratio between output power from the PV device (generated from the solar cell or complete solar module) and State-of-the-Art Industrial Crystalline Silicon Solar Cells 5 input power (impinging photon flux). The oil crisis in 1973 led to consid- erations to use PV also for terrestrial applications in larger scale as an alter- native to fossil fuels. Since then a lot of R&D activities was focused on reducing the cost of PV electricity generation to make it attractive for mar- ket penetration. In research, a lot of progress was made in improving efficiency by devel- oping new cell designs and applying novel processing steps, leading to effi- ciencies as high as 25% using standard test conditions (STC: 1000 W/m2 illumination, AM1.5g spectrum, 25 C) in 1999 (Zhao et al., 1999), indi- cating the efficiency potential of c-Si. This efficiency was reached on extremely pure float zone (FZ) silicon and on small scale (4 cm2) without the main part of the front side metallization grid being taken into account for the efficiency measurement (so-called designated area measurement) and using a very complex processing scheme. For most industrial applica- tions, a full area measurement and cost-effective c-Si materials are of higher interest. In addition, the number and complexity of processing steps needed for cell fabrication has to be low, to allow a cost-efficient production. Here, the main challenge for industrial c-Si solar cells becomes visible: there is a trade-off between more complex processing on higher quality material all- owing higher efficiencies, and less complex processing, e.g., in combination with a lower c-Si material quality.
1.2. General routes for cost reduction The lower efficiency for lower cost materials and less complex processing might be advantageous cost-wise at cell level, but as there are also area related cost factors at module and system level (e.g., costs for module glass and installation), the question which route is more promising is not easy to answer. Therefore, a lot of different technologies have been developed over the past decades. This includes c-Si materials as well as solar cell fabrication processes. The Si feedstock of highest quality stems from the so-called Siemens route using rods for Si production from the gas phase, which still accounts for the majority of produced Si wafers for industrial solar cells, with fluidized bed reactors as an alternative (Fabry and Hesse, 2012). So-called upgraded metallurgical grade (UMG) Si can be produced with significantly less energy needed per kg of fabricated Si, but a higher impurity concentration is the consequence, with relatively high amounts of, amongst others, B and P still present acting as doping elements in Si. This might cause problems as after crystallization the material will be partly compensated, and due to 6 Giso Hahn and Sebastian Joos different segregation coefficients of B and P their concentrations and there- fore resistivity, influenced by the net doping, changes with ingot height (Ceccaroli and Pizzini, 2012; Heuer, 2013). For c-Si materials, three different material classes have been important for PV in the past, as they have already been in industrial production in signif- icant quantities. Monocrystalline Si (mono-Si) pulled using the Czochralski (Cz) method shows the lowest amount of extended crystal defects (like, e.g., grain boundaries, dislocations, precipitates), but normally contains a high amount of O, mainly in interstitial form (Oi)(Zulehner, 1983). Cast mul- ticrystalline Si (mc-Si) can be produced in a more cost-effective way, but contains due to the crystallization method used a higher amount of extended crystal defects and impurities in interstitial or precipitated form, originating mainly from the crucible wall and the crucible coating (Buonassisi et al., 2006; Schubert et al., 2013). See Coletti et al. (2012) for an overview on the role of impurities in c-Si for solar cells. For both methods, the crystallized ingot has to be sliced in wafers for subsequent solar cell processing. To avoid kerf and other Si material losses that easily amount to >50%, ribbon-Si tech- niques have been developed, crystallizing the Si wafer directly from the Si melt (Hahn and Schonecker,€ 2004). Of the three technology groups, ribbon Si is the most cost-effective technique to produce wafers, but these wafers normally show the highest defect densities, reducing the electronic quality of the as-grown wafer. Apart from Si wafer quality, solar cell process complexity is the other main parameter determining the efficiency and cost structure of the solar cell. In this contribution, focus is laid on industrial solar cell production, but for a more complete picture also PV module and system aspects should be considered. The heart of a solar module and every PV system is the solar cell. The cells are stringed in series so that the same amount of current flows through all cells in a string and the voltages of the cells add up. This makes proper sorting of cells a necessity to ensure that cells of similar performance end up in a string, as the cell with the lowest current at operation conditions determines the current flowing through the string. Therefore, for all cells not only the peak efficiency, but also a tight distribution of cell parameters is important to facilitate sorting and matching of the cells. This means that in industrial fabrication homogeneous Si wafer quality and stable processes with large process windows are desired to minimize the spread of quality in c-Si solar cell production. In this chapter, an overview on industrial state-of-the-art c-Si solar cells is given. As there is not only one industrial solar cell process, but a variety of different processes applied for different cell designs, we will restrict the State-of-the-Art Industrial Crystalline Silicon Solar Cells 7 overview on the most common cell architectures. Other cell designs already used in industrial scale such as the interdigitated back contact (IBC), com- mercialized by company SunPower Corp. (Cousins et al., 2010), or the het- erojunction with intrinsic thin-layer (HIT) concept pioneered by Sanyo (now Panasonic) (Ballif et al., 2014) allow for the highest efficiencies in com- mercial c-Si solar cells on large area cells with lab cell record efficiencies up to 25% on large area cells (Smith et al., 2014; Taguchi et al., 2013) and even 25.6% with a combined IBC-HIT approach (Panasonic, 2014), but the pro- cesses differ significantly from mainstream technology. Therefore, these designs of very highly efficient c-Si solar cells will be treated in other chap- ters (e.g., Ballif et al., 2014).
1.3. PV market today Figure 1.1 demonstrates the very dynamic growth of commercial PV over the past decades, spanning more than four decades from around 1 MWp1 in the early 1970s to >30 GWp in 2011. Annual growth rates over the past 10 years have been in the order of 50%, mainly driven by market stimulation programs like, e.g., the renewable energy law with a guaranteed feed-in tar- iff in Germany. As the German feed-in tariffs have been adjusted recently and the German PV market was the strongest worldwide, the growth slowed down in 2012 and 2013. Strong growth in recent years allowed for a tremen- dous reduction in production cost due to scaling effects in mass production
10,000
1000 er (MWp)
100
10 PV-module pow PV-module
1
1975 1980 1985 1990 1995 2000 2005 2010 Figure 1.1 Yearly production/shipment of solar modules. Data from PV News, Photon, and Mehta (2014).
1 Watt peak (Wp) refers to the power generated under STC. 8 Giso Hahn and Sebastian Joos as well as new and optimized processing technologies. This so-called learning curve effect of PV resulted in an average module price reduction of around 20% for every doubling of cumulated PV production (Nemet and Husmann, 2012). The continuing reduction in processing costs results in costs of a kWh generated by PV being now in the range of elec- tricity generated from fossil fuels (depending on the installation site) (Kost et al., 2013). The market share of different PV technologies shown in Fig. 1.2 reveals that c-Si still shows by far the highest market penetration, with thin film technologies like amorphous Si (a-Si), CdTe and CuInxGa(1 x)Se2 (CIGS) not really gaining market share above a 10–15% level. In contrast, latest figures indicate an even further increasing market share for c-Si of 90% in 2013, with roughly 67% based on mc-Si and 23% on mono-Si (Mehta, 2014). It is interesting to note that mono-Si lost market share to mc-Si in the past decade. This can be explained by the huge production expansion programs happening at most PV manufacturers in the past, as mc-Si technology seems to be easier to ramp up and was the more cost- effective way of production in the past. Whether this will hold true in the future, with new cell designs allowing for higher efficiency approaching the market, remains to be seen. The market share of ribbon-Si dropped to almost zero as the two main technologies edge-defined film-fed growth (EFG) and string ribbon are no longer on the market, due to the disappearing of their production companies Schott Solar and Evergreen Solar as well as EverQ, respectively.
100 90 80 Others CIGS 70 CdTe a-Si 60 Ribbon-Si 50 Multi-Si Mono-Si 40
Technology(%) 30 20 10 0 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 Figure 1.2 Market share of different PV technologies. Data from PV News and Photon. State-of-the-Art Industrial Crystalline Silicon Solar Cells 9
1.4. Basic structure of an industrial c-Si solar cell A schematic of the basic structure for a typical state-of-the-art industrial c-Si solar cell is shown in Fig. 1.3. The base is p-type material, moderately 16 3 B doped to a resistivity of around 1 Ω cm (NA ¼1.5 10 per cm ). The ++ 2 20 emitter is n -doped using P with high surface concentration ND >10 per cm3, and the front surface is textured to allow a better incoupling of impinging photons (lower reflectivity). The emitter is covered by a thin dielectric layer of H-rich silicon nitride (SiNx:H), acting as antireflective coating (ARC), surface passivation layer, and reservoir of H. On the front, the metallization finger grid is realized by Ag paste, fired through the SiNx:H layer at high temperature. On the rear, a full area contact is realized by Al paste, which forms an alloy with Si during the firing step, resulting in an Al doped p+-region (around 1019 per cm3) at the rear after cool down to room temperature (back surface field, BSF). To allow interconnection of the individual cells for module integration using soldering, stripes or pads of Ag/Al paste are used at the rear side, as Al is not solderable. The complete cell thickness is around 180 μm (note that features shown in Fig. 1.3 are not to scale). The formation of the respective regions of the cell will be dealt with in more detail in the following sections. The use of H-rich SiNx:H layers for PV (Morita et al., 1982)inthe so-called “firing through SiNx:H process” has been pioneered by Kyocera (Kimura, 1984; Takayama et al., 1990) and Mobile Solar for their EFG ribbon-Si material (Cube and Hanoka, 2005). In the 1990s, other companies and research institutes like, e.g., IMEC (Szlufcik et al., 1994) and others devel- oped the process further. The breakdown of costs for c-Si module production in Fig. 1.4 reveals that wafer and module costs are the dominating factors.
hν
SiNx:H Ag
n+ p-Si Electron Hole p+
Al Figure 1.3 Schematic basic structure of an industrial c-Si solar cell in cross section (not to scale).
2 The superscripts + and ++ indicate a high and a very high doping concentration, respectively. 10 Giso Hahn and Sebastian Joos
Wafer Cell production Module
26% 36%
38% Figure 1.4 Breakdown of c-Si PV module manufacturing costs. Data from Goodrich et al. (2013).
Excellent early (e.g., Szlufcik et al., 1997) and more recent (e.g., Gabor, 2012; Neuhaus and Mu¨nzer, 2007) review papers on low-cost industrial c-Si solar cell fabrication exist, forming the base of this chapter. Since then new technologies have emerged, allowing for a reduction of costs as well as effi- ciency losses and therefore an increase of efficiency in mass production. To tackle these losses, the next section will describe the physics involved in the operation principle of a solar cell.
2. OPERATION PRINCIPLE OF A c-SI SOLAR CELL 2.1. Band diagram The fundamental operation principle of a c-Si solar cell is visualized in the band diagram shown in Fig. 1.5. The doping gradient due to the abrupt change in doping concentration at the pn-junction results in electrons (free majority carriers in the n-region) diffusing from the n-region into the p-region and holes (free majority carriers in the p-region) diffusing into the n-region. The remaining ionized doping atoms at lattice sites (positively charged in the n-region, negatively charged in the p-region) form the space charge region (SCR) extending into both sides of the pn-junction. The electric field hinders the free carriers to completely diffuse into the regions of opposite doping, when equilibrium between diffusion and drift current of free carriers is reached. The built-up electric field causes bending of the energy bands, with the Fermi energy EF as defined by the Fermi–Dirac func- tion at a constant level (a horizontal line) in both regions. Upon illumination, absorbed photons excite electrons from the valence band to the conduction band via the internal photoelectric effect. State-of-the-Art Industrial Crystalline Silicon Solar Cells 11
Energy E Electron Conduction band
hν E F
E F
Valence band Hole
Metal p-type Si SCR n-type Si Metal Figure 1.5 Schematic band diagram of a c-Si solar cell with pn-junction, space charge region (SCR), photon absorption, charge carrier generation, and separation. Quasi-Fermi levels and EF in the metal contacts are indicated as well.
Absorption of one photon therefore generates an electron–hole pair, as the missing electron in the valence band is referred to as a hole. Free electrons and holes can diffuse until they recombine or reach the SCR. Here, charge carriers of different types are separated, electrons are accelerated into the n-region, holes into the p-region. In case of illumination, the semiconductor is not in thermal equilibrium anymore, and the relation for electron and hole concentrations n0 and p0, respectively, as defined for thermal equilibrium (without illumination or applied voltage)
n p ¼ n2 0 0 i , (1.1)
(with intrinsic carrier concentration ni) is not valid anymore and becomes E E np ¼ n2 Fn Fp > n2 i exp kT i , (1.2) with n and p being electron and hole concentrations, respectively. As both electron and hole concentrations are increased when the semiconductor is illuminated, two separate Fermi–Dirac functions for each carrier type have to be defined, with two resulting Fermi levels EFn and EFp referred to as quasi-Fermi levels of electrons and holes. Metal contacts with EF at roughly the same energetic position as for the majority carriers in the contacted Si region can extract carriers from both regions. The contact for the p-type region as depicted in Fig. 1.5 is ohmic, whereas the n-type contact is of Schottky-type (energy barrier for electrons). 12 Giso Hahn and Sebastian Joos
The barrier can be overcome via tunneling, provided it is thin enough and not too high.
2.2. Solar cell parameters An ideal solar cell can be described by a 1-diode model and the j–V char- acteristic of an illuminated diode qV j ¼ j j 0 exp kT 1 l, (1.3) with current density j, saturation current density j0, elementary charge q, Boltzmann’s constant k, and light-generated current density jl. j0 is defined as qD n2 qD n2 n i p i j0 ¼ + , (1.4) LnNA LpND with Dn (Dp) the diffusion constant of electrons (holes), NA (ND) the doping density of acceptors (donors) and Ln (Lp) the minority charge carrier diffu- sion length of electrons (holes). The resulting j–V curve is shown in Fig. 1.6. The maximum current density at V¼0 is the short circuit current density jjscj¼jl. The point of maximum power density (mpp) is also indicated, with the fill factor FF defined as
Current density/power density
Dark curve
Output power Illuminated curve V V mpp oc Voltage Open-circuit voltage
Maximum power point (MPP) j mpp j sc Short circuit current density Figure 1.6 Dark and illuminated j–V curve of a solar cell as well as output power in dependence of voltage. State-of-the-Art Industrial Crystalline Silicon Solar Cells 13
j V FF ¼ mpp mpp , (1.5) jscVoc resulting with the impinging photon power density pphot of photons with energy Ephot in the efficiency j V FF η ¼ sc oc : (1.6) pphot
2.3. Fundamental efficiency limit of an ideal c-Si solar cell In a semiconductor with band gap Eg (1.12 eV at 25 C for c-Si), photons with energy E>Eg can be absorbed, creating electron–hole pairs, while photons with E ν ν ΔE h h F qVmpp Energy 1. 2. 3. 4. Figure 1.7 Fundamental loss mechanisms for an ideal pn-junction based solar cell. 1. Transmission Ephot ΔEF 2.4. Two-diode model A real solar cell can be described by an equivalent circuit containing two diodes, with the addition of series resistance Rs, shunt resistance Rsh and a second diode accounting for recombination in the SCR with an ideality fac- tor generally assumed to be 2 (Fig. 1.8). qVðÞ jRs qVðÞ jRs ðÞV jRs j ¼ j01 exp 1 + j02 exp 1 + jl: kT 2kT Rsh (1.7) Contributions to Rs are ohmic resistive losses in emitter, base, and met- allization as well as the contact resistance between semiconductor and metal. Finite Rsh values are caused by alternative current paths short circuiting the diode (e.g., around the cell’s edge, by a damaged emitter or current paths through the SCR). Apart from ohmic losses, recombination of generated charge carriers can occur, limiting performance of the solar cell. 2.5. Radiative recombination Radiative recombination refers to direct band-to-band transitions of an elec- tron from the conduction band to the valence band while emitting a photon. It is the inverse process of photon absorption. The generated excess charge carrier density Δn with n ¼ n0 + Δn and p ¼ p0 + Δn (1.8) R j j S 01 02 j I R Sh Figure 1.8 Equivalent circuit of a real pn-junction solar cell. State-of-the-Art Industrial Crystalline Silicon Solar Cells 15 can be reduced due to recombination of charge carriers with a recombina- tion rate R defining the lifetime τ of excess charge carriers Δn τ ¼ : R (1.9) c-Si is an indirect band gap semiconductor. In addition to an electron (in the conduction band) and a hole (in the valence band), a phonon is necessary for the band-to-band transition to occur due to conservation of momentum. Therefore, this mechanism is not probable and can normally be neglected in c-Si. With the radiative recombination coefficient crad, the net rate Rrad for this type of recombination becomes3 R ¼ c np n2 rad rad i , (1.10) resulting for low injection (Δn much lower than doping concentration4)in the radiative lifetime 1 τrad¼ (1.11) cradp0 for p-doped material. 2.6. Auger recombination Instead of creating a photon, the energy of the recombination process can be used to excite another existing free charge carrier (an electron in the con- duction band or a hole in the valence band). This charge carrier thermalizes after excitation toward the band edge, converting the recombination energy into phonons. With the Auger recombination coefficients cA,n and cA,p for electrons and holes, respectively, the Auger recombination rate reads R ¼ c nnp n2 c pnp n2 : A A,n i + A,p i (1.12) As above, for low injection we obtain the Auger lifetime for p-doped material 1 τ ¼ : (1.13) A c p2 A,p 0 3 Note that we are only interested in the recombination rate of the excess charge carriers (therefore 2 np ni , subtracting recombination occurring also in thermal equilibrium). 4 At room temperature, all dopants are assumed to be ionized (NA ¼p0 in p-type material), and therefore Δn p0 for low injection. 16 Giso Hahn and Sebastian Joos Auger recombination as a three-particle process is only relevant for high doping concentrations >1017 per cm3 in standard industrial solar cells. 2.7. SRH recombination Energy levels in the band gap can trap free charge carriers and cause a very effective recombination mechanism, especially when their energetic posi- tion is close to mid-gap. This type of recombination was formulated by Shockley, Read, and Hall (Hall, 1952; Shockley and Read, 1952), using sta- tistics of capture and emission of free carriers and is therefore referred to as SRH recombination. Its recombination rate 2 np ni RSRH ¼ (1.14) τpðÞn0 + n1 + Δn + τnðÞp0 + p1 + Δn with 1 1 Et EFi EFi Et τp ¼ , τn ¼ ,n1 ¼ niexp , p1 ¼ niexp , Ntvpσp Ntvnσn kT kT (1.15) includes the trap density Nt of the energy levels in the band gap, the thermal velocity of electrons and holes (vn, vp) and the capture cross sections of the trap for electrons and holes (σn, σp). Et is the energetic position of the trap level and EFi the position of the Fermi level in intrinsic c-Si. The SRH lifetime τpðÞn0 + n1 + Δn + τnðÞp0 + p1 + Δn τSRH ¼ (1.16) p0 + n0 + Δn for p-type material (p0 n0), low injection (p0 Δn), and trap energy level at mid-gap (Et ¼EFi) reads 1 τSRH ¼ τn ¼ (1.17) Ntvnσn and is inversely proportional to the trap density as well as the thermal veloc- ity and capture cross section of the minority carriers (electrons in p-type material). All recombination channels are acting in parallel, and the resulting bulk lifetime τb is given by State-of-the-Art Industrial Crystalline Silicon Solar Cells 17 1 1 1 1 ¼ + + : (1.18) τb τrad τA τSRH 2.8. Surface recombination At the crystal surface, dangling bonds5 are responsible for a multitude of defect levels distributed throughout the band gap. In analogy to the SRH recombination formalism in the bulk of the crystal, a lifetime of the charge carriers at the physical surface can be derived using areal instead of volume densities of charge carriers and traps. For p-type material in low injection, this results in sn ¼ Ntsvnσn, (1.19) with the areal density of traps at the surface Nts, and sn being referred to as the surface recombination velocity s of electrons (minority carriers in p-type material) in units of cm/s. The influence of surface recombination on the observable effective life- time can be expressed by a surface lifetime τs (Aberle, 1999) 1 1 1 1 2 ¼ + ¼ + α Dn, (1.20) τeff τb τs τb with α a solution of the transcendental equation (wafer thickness d) αd s tan ¼ , (1.21) 2 αDn which can be approximated with (Sinton and Cuevas, 1996) d d2 τ : s + 2 (1.22) 2s Dnπ For reasonably good surface passivation with s <1000 cm/s, the second term can be neglected and 1 1 2s ¼ + : (1.23) τeff τb d 5 Dangling bonds are generally reconstructed bonds where the lengths and angles differ from their stan- dard values in the c-Si bulk. 18 Giso Hahn and Sebastian Joos 2.9. Recombination and saturation current density Recombination reduces the maximum current density jsc of the solar cell, as only minority charge carriers generated within roughly one diffusion length on either side of the pn-junction reach the junction and are injected into the region on the opposite side of the junction. But from Eq. (1.3) also strong influence of j0 on Voc can be seen, as for j¼0 kT jl kT jl Voc ¼ ln +1 ln : (1.24) q j0 q j0 As the diffusion lengths of both types of carriers in Eq. (1.4) are linked to recombination via the lifetime of the minority charge carriers pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi Ln,p ¼ Dn,pτeff , (1.25) maximizing the effective lifetimes in emitter and base is crucial for improv- ing solar cell performance. Effective lifetime is affected by bulk lifetime and surface recombination velocity (Eq. 1.23), therefore good solar cells should combine a high τb (low recombination in bulk and emitter) and good surface passivation on emitter and base to reduce s. 2.10. Optical losses If all impinging photons with Ephot >Eg were absorbed in the solar cell, with all of these photons contributing to the extracted current density, the max- 2 imum jsc would be around 44 mA/cm under STC. Apart from recombina- tion losses described above, another fraction is lost due to optical losses. These losses include reflection at the front side (metal grid and ARC), absorption in the metal and ARC, absorption via free carrier absorption (FCA)6 and photons not being absorbed in c-Si (mostly long wavelengths photons7) leaving the cell. The different loss mechanisms are visualized in Fig. 1.9, where they are separated into optical and electrical losses. 6 Free carrier absorption is the absorption of a photon by an electron in the conduction band or a hole in the valence band without generation of additional free carriers. It is important in highly doped areas (emitter and BSF). 7 The absorption coefficient in c-Si with indirect bandgap leads to an absorption coefficient strongly varying with wavelength, leading for photons with wavelengths >1000 nm to absorptions lengths >200 μm. State-of-the-Art Industrial Crystalline Silicon Solar Cells 19 Shadowing loss (total reflection on metal) Incident photon flux F ARC reflection loss solar spectrum (mainly short wavelengths) AM1.5g Back reflection (mainly long wavelengths) Ag SiNx:H n+ Carrier loss emitter & SCR ARC absorption loss Final carrier (mainly short wavelengths) Free carrier j q absorption flow sc/ Free carrier Carrier loss bulk p-Si absorption Carrier loss BSF BSF Al Rear absorption loss Figure 1.9 Visualization of the conversion of photon flux into carrier flow in a standard industrial p-type Si solar cell with the optical and electrical losses as indicated. 3. THE BASIC FIRING THROUGH SiNx:H PROCESS As already mentioned in the introduction, most industrial solar cells today are fabricated based on a so-called “firing through SiNx:H” process (Fig. 1.3). Therefore, in this section we will describe this process in its basic form as it was developed in more detail (compare with, e.g., Neuhaus and Mu¨nzer, 2007; Szlufcik et al., 1997), before alternatives and improvements will be dealt with in the next sections. Generally, for every process step there are two options, inline or batch processing. Inline processing offers the possibility to fabricate solar cells with a minimum of handling steps and a smaller footprint due to the lack of stor- age room necessary for partially processed cells. On the other hand, not all processing steps can easily be performed inline and batch processing allows for more freedom in optimization. The first example of a complete true inline processing fabrication of solar cells was RWE Schott Solar’s SmartSolarFab in 2002. Nowadays, cell processing is normally done by a mixture of inline and batch processing equipment, as the throughput of machines used for the different steps is not the same. In addition, if single machines are not operational or have to be maintained, not the complete production is halted, but other parts within cell fabrication can continue to produce. Therefore, often several machines of the same type work in par- allel to increase throughput and minimize the risk of bottlenecks. 20 Giso Hahn and Sebastian Joos 3.1. Wafer washing, texturization, and cleaning After crystallization, mono-Si and mc-Si wafers are sliced out of the Si ingot using wire saws, containing slurry with abrasives for cutting into the Si (Dold, 2014). This leaves, apart from contaminants, saw damage on both sides of the Si wafer with a depth in the range of up to 10 μm (depending on sawing conditions). After wafer washing, this saw damage has to be removed, as the disturbed region of the crystal (cracks, dislocations) is of poor electronic quality. For mono-Si, this is done in an alkaline wet chemical solution of KOH and isopropyl alcohol (IPA) at temperatures of around 80 C. The KOH solution etches the Si while the alcohol masks the surface randomly. Etching is anisotropic, with the result that the most densely packed crystal planes in c-Si have the slowest etch rate (the (111)-planes). If the wafer is (100)- oriented, the four (111) orientations in the diamond lattice of c-Si will ran- domly form square-based upright pyramids (Fig. 1.10). These pyramids very effectively reduce the reflectivity of the surface and therefore increase the incoupling of photons into c-Si. The etching reaction can be summarized as