PROGRESS IN PHOTOVOLTAICS: RESEARCH AND APPLICATIONS Prog. Photovolt: Res. Appl. 2015; 23:1687–1696 Published online 29 October 2015 in Wiley Online Library (wileyonlinelibrary.com). DOI: 10.1002/pip.2709 ACCELERATED PUBLICATION Pushing the limits of concentrated photovoltaic solar cell tunnel junctions in novel high-efficiency GaAs phototransducers based on a vertical epitaxial heterostructure architecture Denis Masson, Francine Proulx and Simon Fafard* Azastra Opto Inc, M50-IPF206, 1200 Montreal Rd., Ottawa, ON K1A 0R6, Canada ABSTRACT A monolithic compound semiconductor phototransducer optimized for narrow-band light sources was designed for achieving conversion efficiencies exceeding 50%. The III-V heterostructure was grown by metal-organic chemical vapor deposition, based on the vertical stacking of 5 partially absorbing GaAs n/p junctions connected in series with tunnel junctions. The thicknesses of the p-type base layers of the diodes were engineered for optimal absorption and current matching for an optical input with wavelengths centered near 830 nm. Devices with active areas of ~3.4 mm2 were fabricated and tested with different emitter gridline spacings. The open circuit voltage (Voc) of the electrical output is five times or more than that of a single GaAs n/p junction under similar illumination. The device architecture allows for improved Voc generation in the individual base segments because of efficient carrier extraction while simultaneously maintaining a complete absorption of the input photons with no needs for complicated fabrication processes or reflecting layers. With illumination powers in the range of a few 100 mW, the measured fill factor (FF) varied between 88 and 89%, and the Voc reached over 5.75 V. The data also demonstrated that a proper combination of highly doped emitter and window layers without gridlines is adequate for sustaining such FF values for optical input powers of several hundred milliwatts. As the optical input power is further increased and approaches 2 W (intensities ~58 W/cm2), the multiple tunnel junctions sequentially exceed their peak current densities in the case for which typical (n++)GaInP/ (p++)AlGaAs concentrated photovoltaic tunnel junctions are used. Lower bandgap tunnel junctions designed with improved peak current densities result in phototransducer devices having high FF and conversion efficiencies for up to 5 W optical input powers (intensities ~144 W/cm2). Measurements at different temperatures revealed a Voc reduction of 6 mV/°C at ~59 W/cm2. Copyright © 2015 John Wiley & Sons, Ltd. KEYWORDS phototransducers; III-V n/p junctions; heterostructures; GaAs, photon recycling; monolithic; MOCVD; tunnel junctions; concentrated photovoltaic *Correspondence Fafard, Simon, Azastra Opto Inc, M50‐IPF206, 1200 Montreal Rd., Ottawa, ON K1A 0R6, Canada. E‐mail: simon.fafard@azastra.com Also at Institut Interdisciplinaire d’Innovation Technologique (3IT), Université de Sherbrooke, Sherbrooke, Québec, Canada. Received 29 December 2014; Revised 29 July 2015; Accepted 1 October 2015 1. INTRODUCTION High performance tunnel junctions have been developed for concentrated photovoltaic (CPV) solar cell applications. High peak tunneling currents and optical transparency are key requirements for such tunnel junctions. CPV solar cells having conversion efficiencies exceeding 40% for concentrations up to and in excess of 1000 suns (~100 W/cm2) are now Copyright © 2015 John Wiley & Sons, Ltd. routinely obtained with success by using highly doped (n++) GaInP/(p++)AlGaAs tunnel junctions [1,2]. Typically, for multijunction solar cells operating above 1000 suns, the peak tunneling current density of the tunnel junctions must be significantly greater than 14A/cm2. These high bandgap tunnel junctions are therefore interesting technological building blocks for other photonic devices operating with similar photocarrier current densities. In addition, for the case of 1687 D. Masson, F. Proulx and S. Fafard Tunnel junctions in novel vertical epitaxial heterostructure single junction photovoltaic devices, record efficiency solar cells have been demonstrated with GaAs n/p junctions [3–6]. Also, in the field of CPV, such GaAs n/p junctions have been shown to be well suited for operating at high photon fluxes [7]. Furthermore, it has been demonstrated that thin single p-n junctions can be advantageous for obtaining higher open circuit voltages (Voc) [8–12]. However, a thin junction may not absorb all the input photons, and the reduction in short-circuit current (Isc) typically nullifies the gain in Voc unless complicated architectures or manufacturing processes are engineered. 2. A NOVEL APPLICATION FOR HIGH PEAK CURRENT TUNNEL JUNCTIONS Optical fiber technology is steadily replacing copper wires for data transmission. In principle, optical fibers can also be used for power transmission where light instead of electrons are used. This is a field often referred to as power-over-fiber [13,14]. While the transmission loss of light in an optical fiber can be quite small, the losses associated with the light sources, generally lasers or LEDs, and the phototransducers are still too large to compete with traditional metal wires for efficient power transmission. However, unlike metals, an optical fiber made of glass is immune to lightning, high voltage, radio frequency noise, magnetic fields, and corrosion. Glass will not react with most chemicals and will not spark. All of these make power-over-fiber an attractive candidate for special applications in utilities dealing with high voltages, transmission towers, medical, and telecom equipment manufacturers as well as for chemical plants, refineries, and aviation applications dealing with corrosive and explosive materials [15–21]. It is often beneficial for such optical power over fiber applications, or other applications of photonic power delivery systems, to obtain an electrical output voltage higher than the input light photovoltage (hν/e). For example, the phototransducer can be used to power sensors, communication devices, actuators, gauges, or other optoelectronic devices requiring hundreds of milliwatts or watts of power at voltages typically between 2 and 12 V direct current, depending on the application. It is therefore desirable to have a photovoltaic (PV) device or a phototransducer capable of producing an output voltage that is usually more than twice the input light photovoltage, for example, typically >5 V for many electronic applications. Consequently, single p-n junction PV devices have the limitation that their output voltage is lower than desirable, and multi-junction PV devices have the limitation that they cannot operate effectively with a narrowband optical source because of current-matching constraints. However, this paper will demonstrate that the high peak tunneling current tunnel junction, as a technological building bloc developed in the field of CPV, can greatly benefit novel phototransducers designs. 1688 2.1. Phototransducers based on a novel vertical epitaxial heterostructure architecture utilizing concentrated photovoltaic solar cell tunnel junctions In order to increase the output voltage of the phototransducers to higher levels, parquet geometries of single or tandem junction devices have previously been devised using planar configurations with multiple series connections [22–27]. The segments are typically arranged in pie-shaped configurations, or in groups fabricated in circular patterns. The number of segments connected in series is selected to obtain the desired device output voltage. The maximum power conversion efficiency occurs when photo-current matching is obtained between the series-connected segments. Therefore, this approach requires a segment geometry and alignment that are well matched to the intensity distribution of the impinging light [28]. Furthermore, wafer processing in this approach requires to first separate and then re-connect the various segments, therefore reducing or shadowing the active surface area, which decreases the overall conversion efficiency. The performance of the planar geometry can also be limited by the high sheet conductivity necessary for the lateral current extraction, not only from the front contact but also from the back contact. Instead here, we engineered a vertical heterostructure design capable of higher efficiencies and also better tolerances with respect to the alignment and the non-uniformity of the input light. In this work, we study such phototransducers intended for an optical input with wavelengths centered near 830 nm. The heterostructure has been designed [29] to produce output voltages significantly higher than the corresponding photovoltage of the input light. The vertical heterostructure allows for higher overall power conversion efficiencies and operation with reduced restrictions on the impinging beam shape within the phototransducer active surface. The fabrication of such phototransducer is also significantly simplified by using a III-V heterostructure obtained in a single epitaxy run and by including tunnel junctions (TJs) similar to the TJ developed in multijunction CPV solar cells. The TJs are used as connecting elements, joining together the multiple base segments stacked in the propagating direction of the incoming beam of light. 2.2. Novel phototransducer structure The heterostructure used for the phototransducer devices is shown in Figure 1. The layers were grown on 150 mm diameter (100) p-type GaAs substrates by MOCVD with an Aixtron 2600 multi-wafer reactor using standard GaAs growth conditions [29]. The light enters from the top. The top n++GaAs layer serves only to form an ohmic contact with the top metal pattern and is otherwise etched away. A 1 μm thick GaInP window layer, with an n ~1E18cm3 doping, is included over the top pn-GaAs junction. The composition for the window layer is Ga0.51In0.49P, lattice-matched to GaAs. With a bandgap of ~1.8 eV, Ga0.51In0.49P is transparent to the input light. Prog. Photovolt: Res. Appl. 2015; 23:1687–1696 © 2015 John Wiley & Sons, Ltd. DOI: 10.1002/pip D. Masson, F. Proulx and S. Fafard Tunnel junctions in novel vertical epitaxial heterostructure must be designed to absorb 1/5th of the incoming light. The remaining light is transmitted to the second junction designed to absorb another 1/5th. Because the intensity of the transmitted light profile follows Beer’s law, it is straightforward to calculate the optimal thicknesses of the absorbing layers, based on the absorption coefficient of the emitter and base layers. For a device with an absorption coefficient α(λ), at a wavelength λ, this condition can be written as follows: ti tiþ1 ∫0 I i eαðλÞx dx ¼ ∫0 I iþ1 eαðλÞx dx I iþ1 ¼ I i eαðλÞti Figure 1. Schematic of the epitaxial layers used to obtain a harmonic photovoltage up-converting phototransducer based on a vertical epitaxial heterostructure architecture. Tunnel junctions (TJs) are used as connecting elements to interconnect multiple GaAs base segments (pn-GaAs). The thickness of each n/p-GaAs junction increases progressively from top to bottom to obtain photo-current matching of all the base-segments. The layers are approximately drawn to scale, and the total thickness of all the base segments is ~3.5 μm allowing the absorption of substantially all the input light. The absorbing region of the phototransducer is made of 5 pn-GaAs junctions, that is, five p-type base segments separated by four TJs. Results for two types of TJs are presented here. A number of phototransducers have been fabricated based on such a heterostructure grown using a typical (n++)GaInP/(p++)AlGaAs CPV tunnel junctions. Another set of phototransducers are based on a lower bandgap p++AlGaAs / n++AlGaAs TJs. The latter is intended to increase the peak tunneling current density for allowing operation of the phototransducers at higher optical input powers. In all cases, the TJs used for a given heterostructure are all identical. The III-V alloys used for the TJs all have large enough bandgaps to be transparent to the optical input. The five thin n/p-GaAs base segments are therefore the only absorbing layers of the device. 2.3. Current matching the base segments of the vertical heterostructure phototransducer To optimize the power conversion, all n/p-GaAs base segments must generate the same currents, otherwise, the overall current will be limited by the weakest junction. In the structure studied, shown in Figure 1, the top junction where ti is the thickness of the ith layer and Ii is the intensity of the light entering the ith layer. Also, to optimize the conversion efficiency, most of the input light must be absorbed. For that purpose, single junction GaAs n/p junctions are typically ~3.5 μm thick in practice. The thickness is essentially very similar to the single junction GaAs solar cell devices. Therefore, the thickness of the five GaAs base segments of the phototransducer can here be determined such that each base segment absorbs 0.2(1 e α(λ)3.5μm) ~19.6% of the incident optical input. For example, the measured value for α(830 nm) is ~1.2E4cm1 [30]. For that absorption coefficient value, the required thicknesses for the GaAs absorbing segments are found to be 183, 235, 328, 548, and 2207 nm, from top to bottom, respectively. Clearly, the thicknesses of the individual n/p junctions are much smaller than standard single junction solar cells. Similarly, it is also much thinner than the thickness of multijunction solar cells. It is therefore particularly interesting to study the electro-optical properties of such n/p junctions in heterostructures having progressively thinner bases. Also, because the amount of light absorbed in each base segment is not expected to depend neither on the beam non-uniformities nor on the beam alignment, the currents should remain matched despite such possible variations. The tolerance to the latter variations is expected to be a fundamental advantage over devices based on planar configurations, as further discussed in Section 3.4 latter. 3. PHOTOTRANSDUCER PERFORMANCE 3.1. Fabrication of the phototransducers The phototransducer devices were fabricated using a CPV solar cell process. A contact mask lithography process is used to define the features of the top metal contacts. The fabrication steps included the formation of narrow silver gridlines (~5 μm wide). After annealing the top metal to form ohmic contacts, the remaining top n++GaAs layer was etched away using a selective wet etch process designed to stop on the GaInP window layer. A blanket metal layer deposited on the backside of the substrate forms the Prog. Photovolt: Res. Appl. 2015; 23:1687–1696 © 2015 John Wiley & Sons, Ltd. DOI: 10.1002/pip 1689 D. Masson, F. Proulx and S. Fafard Tunnel junctions in novel vertical epitaxial heterostructure p-electrode ohmic contact. The devices were electrically isolated using first, a shallow sawing process, followed by a cleaning step, and the deposition of dielectric passivation layers; and then, the final sawing cuts were made to singulate the monolithic phototransducer devices. The dielectric passivation layers also served as an antireflection coating designed for incident light at wavelengths in the vicinity of 830 nm. From each 150 mm epiwafer, the fabrication process produced several hundreds of individual phototransducer devices, which were each tested to study their currentvoltage (I-V) characteristics. The geometries of the top metal contact are shown in Figure 2. Designs D and E have a gridline spacing of 325 and 425 μm, respectively, while design F has no gridlines. All the devices had an open active area with a diameter of 2.1 mm (active area of 0.034 cm2). 3.2. Performance under 830 nm illumination The phototransducers were tested in a modified commercial solar cell wafer tester, running at a concentration of 1000 suns but equipped with a 50 nm bandpass filter centered at a wavelength of 830 nm. The filter was inserted in the light path to eliminate the other wavelengths from the probe beam. Figure 3 shows the resulting average values measured in forward bias from the population of phototransducers probed under the above illumination. The Isc, the Voc, and the fill factor (FF) are plotted separately for the three different gridline geometries shown in Figure 2. The Figure 3(a) summarizes the resulting I-V characteristics corresponding to the average values measured in Figure 3 (b),(c), and (d). The I-V curve of Figure 3(a) was obtained from modeling 5 photodiodes connected in series by fitting their ideality factors (n-factors) and the diode saturation current (Is) to reproduce the measured combination of Voc and FF for the observed Isc [31]. An ideality factor between 1.1 and 1.2 reproduces the observed FF and Voc values. The Isc is normally linearly proportional to the amount of light reaching the active regions of the devices. Figure 2. Drawing of the top contact gridline geometries for three different designs. The gridlines are shown by thin gray lines and the surrounding gray areas is covered by metal. The gridline spacing is 325 and 425 μm for designs D and E, respectively, while design F has no gridlines. The device active area is 2 0.034 cm . The geometrical gridline shadowing are 1.8%, 1.3%, and 0% for D, E, and F, respectively. 1690 It can be increased by reducing the density and the width of the current-collecting gridlines, which shadow the input light. However, fewer and narrower gridlines will increase the series resistance of the device, and a compromise typically needs to be established for CPV solar cells, depending on the light intensity under operating conditions. The Voc is also expected to increase with the amount of incident light following a logarithmic dependence. The latter can be approximated by Voc = (nkbT/e)ln(Il/Is), from the ideal diode equation where n is the ideality factor; kbT/e is the product of the Boltzmann constant (kb) and the temperature (T) over the electron charge (e), and Il is the photo-current. The Voc of a single homo-junction PV device depends mainly on the bandgap, Eg, of the semiconductor material used. The Voc is typically close to (Eg– 0.4 eV)/e. The phototransducer output voltages measured here, correspond to Voc values clearly higher than those expected from a single GaAs device. For a PV device with a bandgap of 1.42 eV, ~1.0 V is anticipated from incident photons having an energy of ~1.49 eV. The photovoltage up-conversion demonstrates the added Voc’s of the five individual n/p segments connected in series. Furthermore, the output voltage is significantly greater than ~5 times the ~1.0 V expected for typical GaAs n/p diode with a 3.5 μm thick base. The voltage increase is therefore a combination of the higher voltage expected for the higher photon fluxes [7] and also for GaAs n/p diodes having a thinner base, yielding higher Voc’s [8,9]. 3.3. Temperature coefficients The performance of the GaAs phototransducers based on a vertical epitaxial heterostructure architecture was measured at different temperatures for various input powers. Figure 4 (a) shows the results obtained in the range of 10 and 50°°C for the three optical input powers of 1.0 W, 1.5 W, and 2.0 W obtained from the output of a 830 nm laser diode. The Voc reduction with temperature, as determined from the slopes in Figure 4(a), varies slightly with the incident optical power, between d(Voc)/dT = 7.3 mV/°C for 1 W input to d(Voc)/dT = 6.4 mV/°C for 2 W optical input power. The aforementioned values can be compared with typical solar cell values. For GaAs, the bandgap variation d(Eg)/dT is 0.45 meV/°C [32], and d(Voc)/ dT ~ 2.2 mV/°C has been measured for GaAs solar cells around one sun concentration, that is, for ~0.1 W/cm2 [33–35]. CPV triple-junction cells have roughly three times the temperature dependence with d(Voc)/dT between 6 and 7 mV/°C at one sun. The temperature dependence of CPV cells is reduced with concentration, decreasing to a d(Voc)/dT of ~4 mV/°C at 1000 suns (~100 W/ cm2) [33,36]. The temperature behavior observed in Figure 4(a) is therefore quantitatively in agreement with multijunction CPV solar cell data and can be directly compared with the results from triple junction (3 J) devices by simply rescaling the measured results by the number of p/n junctions incorporated in the heterostructure. Therefore, the observed d(Voc)/dT ~-7.3 mV/°C for the Prog. Photovolt: Res. Appl. 2015; 23:1687–1696 © 2015 John Wiley & Sons, Ltd. DOI: 10.1002/pip D. Masson, F. Proulx and S. Fafard Tunnel junctions in novel vertical epitaxial heterostructure Figure 3. (a) I-V response under illumination with diode parameters matching the measured data for Isc, Voc, and FF shown in (b), (c), and (d), respectively. The data represent the average values at 25 °C from hundreds of devices for the grid designs, D, E, and F 2 2 depicted in Figure 2. The active device area is 0.034 cm . The illumination intensity is ~8 W/cm . An average current density of 2 0.94A/cm is obtained for grid design E. phototransducer with five base segments would correspond, after rescaling by a 3/5 factor, to a d(Voc)/dT of 4.4 mV/°C for a triple junction CPV solar cell. The latter value is typically observed around a few hundred suns for 3 J CPV cells. It should be noted that the optical density on the phototransducer at 1 W on an area of 3.4 mm2 corresponds to approximately 29 W/cm2. The phototransducer therefore exhibits temperature behavior very similar to a multijunction CPV solar cell. The temperature behavior of the spectral response has also been investigated. For example, in Figure 4(b), the quantum efficiency (QE) is shown at different temperatures. The measured spectra demonstrate a near optimum QE of ~100% / 5 at the peak near 830 nm at around room temperature. It matches closely the wavelength at which the heterostructure design was optimized. When the device temperature is increased to 60 °C, the peak is shifted by ~0.2 nm/°C because of the bandgap shift. The QE amplitude however clearly remains near the same value at its peak. It demonstrates that the current balancing in the various base segments is not affected significantly. Furthermore, the spectral response of the phototransducer has been found to be relatively broad because, at least in part, of photon reabsorption effects in the optically coupled thin structures. A detailed study of the spectral response of the phototransducers has indeed been providing interesting insight in the luminescent coupling effects present in these devices and is the subject of another publication [37]. 3.4. Impact of enhanced sheet conductivity The FF values of Figure 3 are obtained from the maximum power point on the IV curves [38] and are all between ~88 and ~89%. Series and/or shunt resistances can affect the FF values. The series resistance can be reduced by adding gridlines but more gridlines diminish the Isc. The effect is seen in Figure 3(b), (c), and (d) by comparing the segregated values of Isc, Voc, and FF obtained for the three different grid designs. Isc shows, as expected, a slight increase from design D with the highest density of gridlines to the grid-less design F. A detailed statistical analysis of the measured Isc values confirms that the measured Isc values follow the expected geometrical shadowing values, namely, 1.78 +/ 0.06%, 1.26 +/ 0.03%, and 0% for grid patterns D, E, and F, respectively. In Figure 3(c), Voc values of ~5.75 V are obtained at ~8 W/ cm2, even for the devices with no gridlines. Remarkably, the FF results are most interesting because they show excellent values, even when no gridlines are present for design F. This confirms that the sheet conductivity, obtained from the combined window and upper emitter layers in our heterostructure design, is adequate to carry Prog. Photovolt: Res. Appl. 2015; 23:1687–1696 © 2015 John Wiley & Sons, Ltd. DOI: 10.1002/pip 1691 D. Masson, F. Proulx and S. Fafard Tunnel junctions in novel vertical epitaxial heterostructure enhanced window thickness successfully implemented in the phototransducer architecture. The improved sheet conductivity leads to a less stringent requirements for the gridline spacing as demonstrated earlier. Furthermore, it also leads to improved performances under non-uniform illumination. For example, Figure 5 shows the measured I-V response under nonuniform illumination at 25 °C. Here, the output of a multi-mode optical fiber was used to illuminate a portion of the 0.034 cm2 active area. The data for a number of devices are shown in Figure 5(a) when the central portion of the device is illuminated, here covering about half of the active area. The resulting parameters are indicated in the insert of the figure. Despite the non-uniform illumination, FF values higher than 80% are observed. It allows maintaining high conversion efficiencies of around 60% for all the different devices measured under these operating conditions. Figure 5(b) shows the results obtained when illuminating varied fractions of the active area. The distance between the fiber output and the device surface was increased to produce an illuminated spot about the size of the active area, thus creating a more uniform illumination. The I-V curves of Figure 5(b) are zoomed in the Pmax region to compare both cases in details. It is apparent that the beam uniformity does not significantly impact Figure 4. Temperature dependence measured on monolithic GaAs phototransducer with five thin based segments together having a total thickness of 3.5 μm as depicted in Figure 1. The Voc is shown in (a) for optical input powers of 1.0 W, 1.5 W, and 2.0 W, at a wavelength of 830 nm. A linear regression is fitted to the data to extract d(Voc)/dT for each input powers. The caption displays the results. The QE is shown in (b) displaying near optimum QE of ~100% / 5 similarly for 10 and 60 °C. the lateral current without introducing significant resistive losses for illumination intensities of at least 10 W/cm2. The measured Isc values for Figure 3 are about 32 mA, corresponding to an average current density Jsc ~0.94A/cm2 at an optical input intensity of ~8 W/cm2. It is relevant to note that at similar optical intensity for typical 3 J CPV solar cells, the FF would be much lower for the gridline pitch shown in Figure 2. For example, to verify the corresponding FF behavior in typical CPV cells under such conditions, single junction InGaP solar cells were grown and fabricated with a typical CPV InGaP emitter and AlInP window layer configuration and dopings [36]. These solar cells were then tested under equivalent conditions and using the same cell geometries as indicated in Figure 2. The average FF data was then: FF ~ 71% for cell pattern D, FF ~ 60% for cell pattern E, and FF ~ 47% for cell pattern F. It thus further demonstrates that the design of the window layer of our phototransducer offers an improved sheet conductivity and therefore allows using a reduced gridline pitch compared with a typical CPV cell. By design, the improved sheet conductivity obtained here is due to the different emitter/window layer configuration as mentioned earlier, and predominantly due to the 1692 Figure 5. Measured I-V response under non-uniform illumination at 25 °C. The output of a multi-mode optical fiber was used to illuminate the central portion of the device covering about half 2 of the 0.034 cm active area. In (a), the data for a number of devices are shown and the resulting parameters are indicated in the insert and feature high FF in all cases. I-V curves zoomed in the Pmax region are compared in (b) when illuminating varied fractions of the active area. Prog. Photovolt: Res. Appl. 2015; 23:1687–1696 © 2015 John Wiley & Sons, Ltd. DOI: 10.1002/pip D. Masson, F. Proulx and S. Fafard the shape of the I-V curves under these conditions of nonuniform illumination. The high values of FF, observed in Figure 3(d) or in Figure 5, with the vertical heterostructure phototransducer also demonstrated that the CPV solar cell TJ and BSF layer design that we used here functioned properly. Indeed, for optical input intensities up to at least 10 W/cm2, the heterostructure is not introducing excessive internal series resistance losses or unwanted barriers at the interfaces having bandgap discontinuities. But the phototransducer device allows straightforward testing and operating of the heterostructure at higher optical input intensities by increasing the power of the laser source incident on the phototransducer. The following section will therefore study the device behavior at higher optical powers. 3.5. Pushing the limits of concentrated photovoltaic solar cell tunnel junctions Given the common availability of high power laser diodes nowadays, it is straightforward to push the input optical intensities and the output current densities into a regime that might exceed the typical operating conditions of CPV solar cells. For example, Figure 6 shows the measured I-V curves of the phototransducer heterostructures, which were studied in Figure 3 at lower excitation intensities and which are using 4 (n++)GaInP/(p++)AlGaAs CPV tunnel junctions that are connecting five base segments. At an optical input power of 5 W (average optical input intensity of 144 W/cm2), clearly the TJs are exceeding their peak currents. As the photo-generated current starts exceeding the TJs peak tunneling current, the negative differential resistance region of the I-V curves of the respective TJs impedes the current flow. Then the I-V curve of the phototransducer follows the negative differential resistance behavior of the individual TJ’s as the voltage is swept across the heterostructure, as clearly observed in Figure 6. Figure 6. Measured current–voltage (I-V) curves of the phototransducer heterostructures using 4 (n++)GaInP/ (p++) AlGaAs CPV tunnel junctions at high optical input intensities. Here, at an optical input power of 5 W (average optical input in2 tensity of ~144 W/cm ), the TJs, which are connecting the different base segments, are exceeding their peak tunneling currents. The peak intensity can be significantly higher than the average intensity. Tunnel junctions in novel vertical epitaxial heterostructure The peak tunneling current of the TJs can be made higher by using higher doping values and by using lower bandgap semiconductor alloys [1,2]. Therefore, for operation at higher optical input intensities, we have grown and fabricated phototransducer heterostructures using improved TJs. These TJs were especially designed with lower bandgap (n++)AlGaAs/ (p++)AlGaAs layers. Figure 7 shows the measured FF values as a function of the optical input power for the corresponding two TJ designs. As shown in Figure 6, the phototransducer heterostructures that are using (n++)GaInP/ (p++)AlGaAs CPV TJs to connect the different base segments are exceeding their peak tunneling currents. This is clearly observed, for example, at an optical input power above ~1 W (average optical intensities greater than ~30 W/cm2). This is distinguished here as a reduction in FF. For these measurements and for the typical phototransducer operation, the optical input is emerging from a multimode fiber. It is delivering the continuous wave output of a high power laser diode. Under such conditions, the peak intensity can be significantly higher than the average optical intensity. For example, the (n++)GaInP/ (p++)AlGaAs CPV TJ design used here has been demonstrated before and typically provides stable CPV operation for concentrations up to several thousand suns, that is, above 100 W/cm2 [36]. Nevertheless, as can be observed in Figure 7, the (n++)GaInP/ (p++)AlGaAs CPV TJs are exceeding their peak tunneling currents at a much lower optical input power compared with the phototransducer heterostructures comprising the improved (n++)AlGaAs/ (p++)AlGaAs TJs. The latter TJs are providing stable operation up to 5 W input powers corresponding to an average intensity of close to 150 W/cm2. Figure 7. Measured FF values as a function of the optical input 2 power for two types of TJ designs. The device area is 0.034 cm and a 5 W optical input power corresponds to an average intensity 2 of ~144 W/cm . The peak intensity can be significantly higher than the average intensity. The phototransducer heterostructures using 4 (n++)GaInP/ (p++)AlGaAs CPV TJs to connect the 5 different base segments are exceeding their peak tunneling currents at a much lower optical input power compared with the phototransducer heterostructures using the four improved (n++) AlGaAs/ (p++)AlGaAs TJs. The latter TJs were designed specifically for the phototransducer heterostructure using a lower bandgap to obtain improved peak tunneling currents. Prog. Photovolt: Res. Appl. 2015; 23:1687–1696 © 2015 John Wiley & Sons, Ltd. DOI: 10.1002/pip 1693 D. Masson, F. Proulx and S. Fafard Tunnel junctions in novel vertical epitaxial heterostructure 3.6. Novel high-efficiency GaAs phototransducers based on a vertical epitaxial heterostructure architecture The performance of the phototransducers based on a vertical epitaxial heterostructure architecture comprising the lower bandgap (n++)AlGaAs/ (p++)AlGaAs TJs has been measured from low to very high optical input intensities. For example, Figure 8 shows the measured Voc and FF as a function of the output power for various optical input powers. The data confirm that the novel high-efficiency GaAs phototransducers based on a vertical epitaxial heterostructure architecture demonstrated conversion efficiencies in excess of 50% for up to 5 W optical input yielding average current densities of up to 17A/cm2. The FF decreases slightly at higher input powers, but as can be observed in Figure 8(b), excellent performance can be obtained over the entire range covered here. Designs with larger active areas and/or incorporating tunnel junctions with even higher peak currents could readily be implemented for applications that might benefit from more output powers. Using the same parameters as in Figure 3(a), the 5-photodiode model was further used to investigate the expected dependence of the phototransducer parameters on the optical input intensity. The expected Voc and conversion efficiencies are consistent with the measured data. Figure 8. Measured Voc in (a) and FF in (b) as a function of the output power for the various optical inputs indicated in the caption. The data demonstrate that the novel high-efficiency GaAs phototransducers based on a vertical epitaxial heterostructure architecture are capable of conversion efficiencies in excess of 50% with up to 2.5 W electrical output powers using here five base segments. The lower bandgap (n++)AlGaAs/ (p++)AlGaAs 2 TJs allow an input power of up to 5 W on a 3.4 mm device, cor2 responding to an average optical intensity of ~144 W/cm . The input is a continuous wave (CW) laser diode, at a wavelength of 830 nm unless specified. 1694 The Voc and the efficiencies are increasing with optical input intensities and can reach an efficiency of about 70% at a Voc of around 6 V at high powers. However, the measured data display a slight Voc reduction at the highest input optical powers because of an increase in the operating temperature of the device as discussed in Figure 4 because no active cooling was used to obtain the results of Figure 8. As a benchmark, the measured I-V data of a control single n/p GaAs PV diode having a 3.5 μm p-type base was also modeled. A higher n-factor of 1.45 was obtained with the latter. The lower n-factor with the thinner n/p junctions is consistent with a more efficient extraction of the minority carriers in the heterostructure exploiting the thin base segments. 4. CONCLUSIONS We have designed, fabricated, and tested a novel type of phototransducer based on a vertical epitaxial heterostructure architecture. It comprises thin n/p GaAs diodes connected vertically in series using tunnel junctions grown in a single epitaxial run. The current-matching condition necessary for optimal power conversion was obtained by tailoring the fraction of light absorbed in the various base segments. In this structure, the thinnest n/p junction is the top one, with each subsequent n/p junction increasing in thickness. This insures that each n/p junction absorbs the same fraction of photons and generates the same photo-current. The resulting devices operated as designed by showing a photovoltage up-conversion proportional to the number of junctions used. The output photovoltage is significantly higher than the equivalent input voltage of the absorbed photons (hν/e). The vertically stacked epitaxial layers in these phototransducer devices can remove the non-uniformity and misalignment problems, which may occur in alternative planar geometries. The resulting phototransducer can be made very efficient by selecting a bandgap close to the band edge of the absorber to minimize the thermalization losses. The thin GaAs n/p diodes demonstrated good ideality factors and high Voc’s. The novel phototransducers have been used to obtain an electrical output of up to 2.5 W with a Voc of about 5.8 V with a conversion efficiency of 50% or better. The temperature dependence of the device has been characterized. It will be possible to obtain higher output powers and even higher conversion efficiencies by further optimizing the tunnel junctions and/or by using larger devices. ACKNOWLEDGEMENTS We are grateful to Azastra Inc for their financial support. We also wish to thank M. Wilkins, Dr. C. E. Valdivia, Prof. K. Hinzer, Prof. V. Aimez, and Dr. A. Jaouad for valuable discussions and experimentations connected to this work. We would also like to thank the Industrial Research Assistance Program from the National Research Council of Canada for their financial assistance supporting part of this work. Prog. Photovolt: Res. Appl. 2015; 23:1687–1696 © 2015 John Wiley & Sons, Ltd. DOI: 10.1002/pip D. 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