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Numerical simulation of quantum dots as a buffer layer in CIGS solar cells: a comparative study

Quantum bandgap buffer layers can improve sunlight absorption in the short wavelength region, hence improving the performance of CIGS solar cells. In this study, we use numerical modelling to determine the impact of various buffer layers' electrical characteristics on the performance of CIGS thin film photovoltaic devices, particularly, carrier concentration and the quantum effect. As well Ag2S buffer layer has been experimentally examined to fulfilment its effect in term of bulk and quantum bandgap. Experimental results depicted that, Ag2S QDs has polycrystalline nature of films, with smooth surface roughness, and average diameter 4 nm. Meanwhile, a simulation revealed that the Fermi level of the (n-buffer layer) material shifts closer to the conduction band with an increase in carrier concentration. The findings indicate that, a buffer layer with a wider bandgap and carrier concentration is an essential demand for achieving a device with a higher conversion efficiency and a broader bandgap-CBO window. It was attributed to beneficial synergistic effects of high carrier concentration and narrower depletion region, which enable carriers to overcome high CBO barrier. Most importantly, modelling results indicate that the optic-electrical characteristics of the buffer layer are critical in determining the progress of a CIGS solar cell.

The substantial climate changes are a good reason to look for alternative resources of energy. The huge challenge for the global community is to research alternative energy sources that are renewable, abundant, environmentally friendly and cost-effective and at the same time, the current energy system prevents any negative consequences 1 . Solar electricity is expected to play an essential role in all alternative energy resources in terms of sustainable and fossil-fuel-free energy production 2 . Photovoltaic (PV) devices are semiconductor devices with the ability to convert energy in sunlight into electricity. Presently, global PV installations are comprised of monocrystalline silicon (c-Si), multi-crystalline silicon (mc-Si), thin film technologies and emerging PV 3,4 .Furthermore, the increasing need for low-cost photovoltaic (PV) modules has revealed some inherent drawbacks of c-Si technology, like as a lack of raw materials, high costs of material processing and device fabrication steps, and an inability to form monolithic interconnections 5 . Among thin-film photovoltaics, the copper indium gallium di-selenide (CIGS) have garnered tremendous interest in the PV research community, which eventually translated into systematic theoretical and experimental studies and consequently attained a power conversion efficiency (PCE) of 23.35% 6 .
Although of that, CIGS performance is still far behind that of other photovoltaic platforms. One of the fundamental reasons for this is choosing the appropriate buffer layer 7 . Cadmium sulphide (CdS) is a significant compound semiconductor (II-VI), n-type conductivity characterized by its high transparency, direct bandgap transition (2.4 eV), and efficient electron affinity (4.2 eV), 8,9 . CdS as well improves the lattice heterojunction interface match, enhances the additional carrier lifetime, and optimizing the device's band alignment 10 . CdS thin film deposition can be done by various methods, for instance, chemical vapour transport (CSVT), chemical bath deposition (CBD), magnetron sputtering, and thermal evaporation [11][12][13] . Most of the techniques are very complex and hard to control, and thus costly. CBD consider as the most common fabrication techniques to deposit the buffer layer in solar cells because of its simple deposition process, low costs, high yield, and eco-friendly. Besides, this process can be controlled easily through pH, salt concentration, and temperature variations, thereby obtaining a high quality of thin film with desired thickness and crystallinity 14 . Different materials with a wider bandgap, www.nature.com/scientificreports/ also the non-toxic materials for example ZnS, Ag 2 S, PbS, as well as In 2 S 3 also investigated as a potential buffer layer [15][16][17][18] . However, these buffer layers suffer from complicated reaction mechanism and light soaking effects, presenting a potential cell durability and reproducibility issues 19 . The identification of the optical, electrical, and structural characteristics of CdS films is critical for an assortment of scientific, technological, and commercial uses, most notably in the field of semiconductor applications such as solar cells. Further, the buffer layer's role in a hetero-junction is to create a junction with the absorber layer, enabling the absorber layer to absorb as much light as possible. Ideally, the buffer layer must have the lowest possible absorption losses, surface recombination, and electrical resistance in order to allow the most effective transmission of photogenerated carriers to the outside circuit. It is also responsible for strengthening the cell's band alignment and electrical properties, as well as forming a wide depletion zone with the p-type absorber layer 20 . Thus, to achieve a desirable characteristic, the buffer layer must have higher carrier concentrations with a wider bandgap. In our previous work, we have proven that buffer layer with higher carrier mobility and carrier concentration is a vital necessity as it is led to enhance J sc due to a higher carrier diffusivity, which enables carriers to overcome a high CBO barrier which is followed with higher conversion efficiency 21 .
Besides, compare with the bandgap value of bulk buffer, the increasing in this value reveals quantum confinement induced by the limited particle size (less than 10 nm) 22 . CdSe, CdS, CdTe, PbS, Ag 2 S, and PbSe, etc. are the most often utilized quantum dots [23][24][25][26] .
A significant feature of QDs is that their bandgap may be adjusted by altering the size of the quantum dot 27 . This is a considerable advantage over other nanocrystals since it allows for more control over the bandgap. This characteristic of QD has a significant influence on the design of solar cells because the optoelectronic performance of the solar cell can be controlled by changing the bandgap of the semiconductor. This quantum confinement effect is connected with the alteration of the electronic properties by displacing the conduction and valence bands' energy level position to more negative and positive values, respectively. This redox potential shift favors the mechanism of electron transfers and increases photoactivity 28 .
Hence, in this study, we have focused in our numerical simulation to elucidate the interdependence of carrier concentration and bandgap of various types of buffer layer on PCE of the CIGS solar cell. Intentionally, to accurate the simulated results, Ag 2 S as buffer layer has been experimentally selected to investigated its structure and morphology in terms of bulk and quantum bandgap. In order to maximize the applicability of simulation outcomes, all the possible permutations and combinations of buffer bandgap for bulk and quantum effect has been taken into consideration in terms of solar cell parameters. The fundamental target of this study is to highlight the importance of having high-quality buffer layer, from an electrical and optical property point of view, focusing on the effect of using a high carrier concentration and higher bandgap during the initial development period of photovoltaic solar cells.

Methodology
Preparation of Ag 2 S. Ag 2 S/ZnO NRAs films were prepared by two different methods, once for obtaining the nanoparticles, and the second to achieve the quantum dot size. The Ag 2 S nanoparticle/ZnO NRAs photoanode was prepared using the SILAR technique. This approach was adapted from our previous research 29 . At ambient temperature, a thin film of Ag 2 S was deposited upon ZnO NRAs/ITO using 0.02 M AgNO 3 and 0.02 M Na 2 S as cationic and anionic precursor, respectively. For the deposition procedure, a ZnO NRAs substrate was submerged in a cationic precursor solution including Ag + ions. Following that, the substrate was washed with DI to eliminate any unabsorbed Ag + ions. Additionally, the substrate was submerged in an anionic precursor, that enables S 2− ions to flow from the solution in the diffusion layer to the solid solution interface, where they react with Ag + ions to form Ag 2 S. After that, a second rinse with DI was used to remove any remaining material from the substrate, as seen in Fig. 1. The durations of immersion and rinsing were determined experimentally to be 100 s. Likewise, Ag 2 S QDs/ZnO NRAs films were made by submerging ZnO NRAs/ITO in an equivalent volume of an aqueous solution of 30 mM CS (NH 2 ) 2 and 5 mM AgNO 3 in a sealed glass container. The container was then put in an oil bath and heated for 25 min at 60 °C on a programmable hot plate. The substrate was repeatedly cleaned with DI to eliminate any remaining impurities. Following that, the samples were heated to 400 °C for one hour at a rate of 2 °C per minute in a N 2 . Both procedures' samples were allowed to cool first, prior to characterize. The experimental data for Ag 2 S QDs were obtained with permission from our previously published article 30 . Simulation. Numerical modeling will aid in comprehending the behavior of solar cells and will provide more insight into how to adjust fabrication parameters to increase cell performance. In this numerical simulation study, the SCAPS-1D (version 3.3.07) software has been utilized to simulate the effects of a variable carrier concentration of various buffer layers on the overall performance of the substrate-type thin-film photovoltaic device. SCAPS-1D is one-dimensional computer software for simulating the DC and AC electrical properties of thin-film heterojunction solar cells. It was designed and maintained by a research team at the University of Gent lead by Marc Burgelman 31 . The modelling capabilities of SCAPS is specifically designed to mimic the characteristics of CIGS solar cells, however, it has been observed and shown to be effective in a range of different cell types. The generic device structure that has been adopted in this study and subsequently modelled in SCAPS is as shown in Fig. 2.
Brief literature from the material property perspective for each layer and pertinent theoretical framework is given in the subsequent paragraphs, with the aim to derive credible justification for the selection of material and hetero-interface electronic parameters, which have been used in this study as shown in Tables 1, 2 and 3.
The effects of the SLG substrate on the heterojunction band energy layout were not taken into consideration in the simulation because of the limitations posed by SCAPS software used in this study. Conventionally, in a substrate-type device architecture, the molybdenum (Mo) thin film is the primary select back contact due to its www.nature.com/scientificreports/ chemical inertness, good thermal stability and suitable electrical and optical (reflectivity) properties 41,42 . The work function of Mo back contact is set to 4.95 eV 43 . The absorber layer thickness was fixed at 1000 nm throughout the entire simulation. Table 3 summarizes the defect properties for all the relevant layers adopted. In all instances, the buffer layer thickness was kept constant at 100 nm. A 80 nm thick i-ZnO layer was incorporated as a (TCO) layer on the top of the buffer layer and was followed by a front contact metal electrode (Ag front electrode). All numerical simulations were achieved at a constant temperature of 300 K. No additional series resistance and shunt resistance parameters were defined for simplicity. Built-in standard solar spectrum (AM1.5G-1 Sun) with  www.nature.com/scientificreports/ an integrated power density of 1000 W/m 2 was selected as an illumination bias. Due to the scope of this study, which focuses primarily on the optical and electrical characterizations of the buffer layer and its suitability for CIGS, the interfacial recombination mechanism was not incorporated. Also, the following equations are obtained from the literature to using in this simulated work [44][45][46][47][48][49] .
where is; K, T, N V /Nc, and N A /N D is Boltzmann constant, the absolute temperature in Kelvin, the effective density of states at the valence/conductive band edges, acceptor/donor density, respectively.

Interface parameters Front -Back
Metal work function (eV) 4.47 (Ag) -4.95 (Mo) Electron surface recombination velocity, S e (cm s −1 ) 10 7 -10 7 Hole surface recombination velocity, S h (cm s −1 ) 10 7 -10 7 Reflectivity 0.05 -0.80 Table 3. Defect characteristics of all layers employed in this work. where J 0 , A, q, D n/p , and L n/p , is, saturation current density, the Illuminated device area, charge of an electron, the diffusion coefficient of electron and hole, and the diffusion length of electron and hole.

Layer parameters i-ZnO n-buffer CIGS
whereby η , FF, V oc , J sc , and P in is the conversion efficiency, fill factor, open circuit voltage, short circuit current and input power.
whereby µ n , A, G, W, ǫ 1 ǫ 2 , V bi , V, is electron mobility, the cross-sectional area, the carrier generation rate, the depletion width of the heterojunction, dielectric permittivity of buffer layer/absorber layer, built-in voltage, and applied voltage.

Results and discussion
Ag 2 S experimental results. To obtain more detailed structural information regarding the sample, XRD analysis were presented. Figure 3 illustrates X-ray patterns of Ag 2 S at both nanoparticle and quantum dot. The films were scanned from 20° to 70°. Ag 2 S mainly forms cubic and monoclinic phases based on deposition conditions. Besides, the specific identification of the crystal structure of Ag 2 S, whether the film is primarily monoclinic or essentially cubic or a mixture of both, is difficult to determine since both of the film phases have the same XRD diffraction peak angles. It was found that Ag 2 S nanoparticle has a monoclinic phase only (JCPDS-01-075-1061), based on the peaks corresponding to (012) . This can be explaining since Ag 2 S is stable in a monoclinic structure at room temperature, but suffers a thermo-induced phase shift into a cubic structure at 450 K 50 . Silver ions are randomly dispersed across the interstitial sites of a sulphur lattice in this high-temperature structure, resulting in a favourable ionic conductivity owing to the quantum effect of particle size. A particle, or grain, is composed of one or more united crystals that are fused together. Although the size of such a particle cannot be determined using XRD, it can be measured using light microscopy, light scattering methods, or high resolution scanning electron microscopy (HR-TEM) 51 .
To examine the effect on the surface morphology further, an illustrative sample of Ag 2 S nanoparticles/ZnO NRAs/ITO was analyzed under TEM as shown in Fig. 4a. As realized, spherical Ag 2 S nanoparticles with an average diameter of 20.31 ± 0.2 nm were distributed onto the ZnO NR surface, resulting in a relatively rough surface. HR-TEM was used to verify the crystal structure and interplanar distances of single Ag 2 S nanoparticles. The area of electron diffraction in a particular portion of the HR-TEM image was calculated using conventional FFT. Figure 4b depicts the (SAED) pattern of Ag 2 S/ZnO/ITO, which shows some sets of diffraction spots verifying the binary hetero-structure's polycrystalline nature. Additionally, to corroborate the interplanar spacing of the binary hetero-structure Ag 2 S/ZnO NRAs/ITO, Fig. 4c displays an HR-TEM image of Ag 2 S nanoparticles. The plane fringes with a crystalline plane spacing of 0.239 nm were roughly assigned to the (002) and ( − 1 03 ) planes of the hexagonal wurtzite structure of ZnO NRAs and monoclinic Ag 2 S phase, respectively (as confirmed by reference data JCPDS 00-003-0888, JCPDS 00-014-0072, and other related reports 30,52 .

Study of the influence of energy band alignment.
In the application of solar cells, a cell model is a theoretical structure designed to simulate real processes and characteristics that may have an impact on cell performance. They may vary from device to device due to the fact that many of them are reliant on fabrication procedures and deposition methods. The numerical simulation work presented herein is primarily focused on assessing the impacts of optical and electrical characterizations of buffer layers, namely the bandgap and carrier concentration on the performance of CIGS photovoltaic devices. There is a misunderstanding about the relation between the electron affinity (χ), bandgap (E g ), and both the conduction band edge (E c ) with the valence band edge (E v ), as it is depending on the donor density (N D ) and the voltage and illumination conditions 53 . Thus, the impact of using different donor densities with different buffer layers in two cases: bulk-bandgap and quantum dot-bandgap buffer layers, has been investigated. The density of states (DOS) is considered as a function of the lattice parameters and temperature. Therefore, these parameters principally affect the E g . The density of states  www.nature.com/scientificreports/ and energy level spacing alters with the reduction in particle size, owing to quantum confinement effects and high surface area to volume ratio. Briefly, the density of states at the valence band effects on the properties of any photovoltaic material, namely the absorption coefficient, the lifetime or recombination rate, and the mobility 54 .
In equilibrium, in a neutral, as the main layer of device configuration is p-type (CIGS), the Fermi level (E F ) equal to Fermi Level in the p-type material (E Fp ), and the valence band edge (E v ) is fixed amount, regardless the bandgap and/or electron affinity grading, Eq. (1). This is because of the valence band edge (E v ) is depending mainly on the acceptor density (N A ). Thus, with supposing that both N A and N V are uniform and not graded, Eq. (2). The conduction band (E c ) is then placed at a distance with E g , and above E v , and will thus be sloped when Eg is graded, Eq. (3). The next layer in device configuration is the n-type buffer layer. Various buffer layers have been applied in a constant circumstance (applied V, illumination, in a depletion layer, grading of the doping N A or of the densities of states (N C /N V ). Only, densities N D have changed three times (10 15 , 10 17 , and 10 19 cm −3 ) in each buffer layer in two cases bulk-bandgap and quantum dot-bandgap. Figure 7a-e depicts the proposed energy band diagram for buffer layers. The suggested structure is modelled using experimentally measured values for electrical and optical characteristics that are provided into the software. Figures 7, 8 and supplementary A1, B1, A2 and B2, show shifting in the Fermi energy level as a function of donor concentration (n-buffer layer) at T = 300 K. This could be illustrated accordingly to Fermi energy of an intrinsic semiconductor formula, Eq. (1). Indeed, when the doping levels increase, causing in the drop of the conduction band. As a result, the Fermi level shifts downward into the valence band, while the Fermi level electrons jump into the conduction band 46 . This can be noticeable from the results, as the maximum shifting can be achieved is for the Ag 2 S buffer layer when the conduction band edge (E c ) is jumped from 0.35 to − 0.05, for N D 10 15 to 10 19 cm −3 respectively. Numerical results as well showed that, with increasing the N D , the buffer layer displayed , when the donor doping concentration (N D ) grows, the (Nc) declines, which is consistent with a low effective mass Eq. (4). Due to the fact that a reduced effective mass results in increased charge carrier mobility and low exciton separation energy, the J sc and efficiency will rise, as shown in Eqs. (6) and (7). For example, parallel to the quantum bandgap of Ag 2 S and PbS buffer layers, low Nc results in an increase in J sc from 9.53 to 31.46 V and 11.72 to 31.64 V, respectively, as shown in Table 4. Unlike the bulk-buffer layer, where electrons are more delocalized that is spread out over a larger volume, electrons in the buffer layer-quantum dots are confined to a much smaller volume due to the QD's tiny size. The suitable electron energies in the valence and conduction bands become quantized that is discrete, rather than continuous, therefore, this so-called Quantum Confinement Effect 55 . Only the size of the QD of the applied buffer layer may "tune" the bandgap to the desired value. When it comes to the transfer of carriers in thin-film solar cells and the recombination of those carriers, the conduction band offset (CBO) at the absorber/buffer interface is one of the most critical issues to consider. Once the absorber layer's electron affinity energy is more or less than the buffer layer's electron affinity energy, the conduction band offset is equal to the difference between the two layers' values. At the interface of the layers' interfaces, it may find configurations of the cliff-type configuration and the spike-type configuration. As soon as the buffer layer's minimum conduction band is lower than (or higher than) the absorber layer's minimum conduction band, the cliff-type (or spike-type) configuration occurs. Those cliffs would operate as a barrier to electron injection from the absorber layer to the photon-generated buffer layer. These cliffs would improve www.nature.com/scientificreports/ electron accumulation and recombination at the interface between the majority carriers (holes) in the absorber layer and the accumulated electrons. As a consequence, the buffer layer must have a substantial bandgap so as to ensure proper band alignment at the buffer/absorber interface and to enhance the open-circuit voltage (V oc ).
Once the buffer layer has a higher electron affinity than the absorber layer, the band alignment at the absorber/ buffer interface shifts from cliff to spike. Nevertheless, the spike-like band alignment results in less V oc reduction, and V oc remains almost constant despite an increase in CBO. This observed occurrence is contrary to the outcome of practical measurements whereby a small positive CBO in the range of 0-0.15 eV (at Ag 2 S and PbS buffer layer) conventionally results in higher conversion efficiency and a negative CBO is expected to yield slightly high efficiency (In 2 S 3 , CdS, and ZnS buffer layer). However, these phenomena are not reflected in this study due to the fact that the beneficial effects of a small positive CBO and detrimental effects of a negative CBO only come into play if a n-buffer layer/p-absorber hetero-interface recombination mechanism is taken into account.  www.nature.com/scientificreports/ On the other hand, the J sc parameter differs considerably as illustrated in Figs. 9 and 10, mainly in the range between 6 and 33 (mA/cm 2 ). Low carrier concentration yields to lower carrier collection at the front contact and thus a lower J sc . However, buffer layer with a higher carrier concentration could retain a high J sc value in the same CBO region. This trend can be noticeable in the Ag 2 S buffer layer. While PbS buffer layer depicted that, even with higher carrier concentration there is no significant enhanced. Therefore, an appropriate band alignment at the buffer/absorber interface (higher carrier concentration and bandgap) for effective solar cells is very important to rise the J sc . This could be due to the increased diffusivity (D n ) of carriers, induced by higher carrier mobility as governed by the Eq. (9) 48 . In return, increased diffusivity is responsible for longer carrier diffusion length and subsequently higher photogenerated current, I ph as evident in the following relationship as shown in Eqs. (10) and (11) 49 . Based on Eq. (12) below, we note that the depletion region width, W for a heterojunction consisting of different buffer layers with a higher carrier concentration (N D : 10 19 cm −3 ) and optimized bandgap should be lower compared to the depletion width for the buffer layer with a lower carrier concentration (N D : 10 15 cm −3 ) 56 .
However, a higher J sc value was recorded for both CdS and ZnS, even with the wide depletion width, which was supposed to decrease the photogenerated current according to Eq. (8). This observed occurrence is in agreement with the outcome of practical measurements whereby a small positive CBO conventionally results in higher conversion efficiency 57 . This could be due to the beneficial synergistic effects of the typical bandgap, which enables carriers to overcome a high CBO barrier. This is supported by the fact that only CdS, and ZnS, which represents a buffer layer with the highest bandgap, exhibits almost the same photovoltaic performance parameters across all investigated values. The fill factor varies according to the open-circuit voltage.
We argue that if the optical properties of the ensuing buffer layer are not properly fine-tuned and characterized, it may lead to incorrect assumptions particularly on the true potential of the investigated p-absorber material. For example, let us say that CIGS with a bandgap of 1.2 eV and CBO in the range of 0-0.15 eV (obtained according to using Ag 2 S and PbS as a buffer layer) is being investigated. In the preliminary stage of development, it is highly likely for the absorber thin film to possess a bulk defect density, due to its poly-crystalline nature and non-optimized deposition process. If the deposited buffer layer possesses a low bandgap, the corresponding device is predicted to yield efficiency below 2% (see Fig. 9, Table 4). However, the device efficiency can be boosted above by employing a buffer layer with a higher bandgap. It is also evident that a rise in the carrier www.nature.com/scientificreports/ concentration and bandgap of In 2 S 3 , CdS, and ZnS buffer layer yields a conversion efficiency that seems to be inconspicuously small, Fig. 10.

Performance of quantum efficiency (QE) %. The quantum efficiency (QE) of an external circuit is
defined as the ratio of the current flowing to it to the number of charge carriers incident on it 58,59 . Since the motivation for this study is to simulated high efficiency, a high QE% based on CIGS solar cells is a requirement. Thus, here to investigate the highest possible QE% values, the QE% has been obtained at N D = 10 19 cm −3 . Figure 11, depicted the performance of QE% versus wavelength with different buffer layers. Except for Ag 2 S and PbS in the bulk bandgap situation, all devices exhibit a comparable QE response throughout the depletion region at wavelengths below 800 nm. It can see that, the impact of the optical properties for buffer layers on the cell response. At a higher wavelength between 800 and 1000 nm, represents the absorber bulk's quality, the simulated QE % curve is shifted upward. When the bandgap of the buffer layer is raised from 1.1 to 3.54 eV, the ZnS buffer layer exhibits the highest carrier collection efficiency of all the solar cells, with a response of around 93%, indicating less photocurrent interface recombination. This is owing to the increased capture of photons by these buffer layers.
The CdS sample exhibits characteristic absorption in the 400-500 nm short wavelength region of the spectrum. The QE % of both CdS cells (bulk and quantum) is almost the same in the range of 520-1030 nm. The quantum efficiency of CdS begins to decrease below 517 and 468 nm for bulk and quantum, respectively, suggesting that it contributes less to electron generation. By employing ZnS as the buffer material, this current loss may be eliminated. High-energy photons may also create charge carriers in the absorber owing to its larger bandgap and hence higher transmittance. At long wavelengths, the In 2 S 3 buffer layer shows a reduced response and light absorption losses below 600 nm, respectively.
The buffer layers of both (Ag 2 S and PbS) give interesting responses. Ag 2 S buffer at bulk bandgap shows by far the lowest absorption, Fig. 10. While PbS buffer layer suffers from the interface and bulk recombination 60 . On the contrary, Ag 2 S buffer exhibits significantly enhanced absorption with a larger bandgap, enabling a response comparable to that of In 2 S 3 above 750 nm and an enhanced response below 750 nm due to decreased light absorption. Thus, the recombination loss of photogenerated minority carriers (i.e., electrons) reduces as well in the CIGS region. The same is true for the PbS buffer layer 61 . This has been supported by an enhance in carrier concentration, photo-generated minority carrier current density, and depletion layer width. As a result, both J SC and QE % rise up to 800 nm wavelength. These buffer layers could provide the optimal combination of optical and electrical characteristics 62 . Related findings were reported by Priya and Singh, 2021 47 . However, the overall QE for Ag 2 S and PbS levels below 80% is relatively low, which may be due to reflection losses. Besides that, a small spike at the buffer/absorber interface that obstructs electron transport cannot be excluded.
Additionally, solar cells based on CdS, In 2 S 3 (at the bulk bandgap), and Ag 2 S, PbS, CdS, and In 2 S 3 (at the quantum bandgap) have the cut-off QE, which contributes to electron generation throughout the visible spectrum. As a result, solar cells with a higher bandgap of buffers achieve better efficiency than bulk solar cells 63 .
During certain wavelengths, all the curves begin to converge on zero, since each material be able to absorb photons only in a narrow region of the visible light spectrum 64 . Further, Fig. 10 demonstrates that the spectral response above 800 nm, named the red response, declines with increasing bulk bandgap values (for example ZnS). This scenario is describable by decreased absorption and a short diffusion length. This behaviour explains why www.nature.com/scientificreports/ the efficiency does not improve proportionately as the quantum bandgap of ZnS increases, since the bandgap also saturates at a certain point.

Conclusion
The numerical simulation work presented herein is primarily focused on assessing the impacts of optic-electrical characterizations of the various buffer layer, namely the bandgap and carrier concentration on the performance of SLG/Mo/p-CIGS/n-buffer layer/i-ZnO/Al configured thin-film photovoltaic devices. In general, it was exposed that for the CBO more than 0.15 eV, J sc is dependent on the bandgap and carrier concentration of the buffer layer, due to a higher carrier diffusivity and efficient carrier transport across a spike-like CBO barrier. Whereas, V oc is predominantly dependent on the band structure of different buffer layers, as an appropriate bandgap could avoid the recombination process at the interface between the absorber and buffer layer. Owing to the improved both J sc and V oc , the conversion efficiency of CIGS based on Ag 2 S quantum dot as a buffer layer showed better performance with 11.23% as compared with the CIGS-based ones 3%. While the highest efficiency of 11.96% could be reached due to the ZnS quantum bandgap and the appropriate conduction band offset (CBO). Further investigations on the QE% suggest a suitable bandgap could be used in order to obtain better quantum efficiency. Our visions into the device performance show that, the CIGS solar cells might be tuned via adjusted bandgap and carrier concentration, which is consistent with previous findings. Important design considerations for buffer layers containing highly effective CIGS solar cells may be derived from the findings of this simulation.