Introduction

The green and clean solar energy source has a high potential and reliable form of power for electricity generation as the solar energy can be directly converted into electricity using the photovoltaic principles. For obtaining cost-effective and highly efficient photovoltaic solar cell, different materials like Si, CdTe, Cu(In,Ga)Se2 (CIGS), Cu2ZnSnS4 (CZTS), CZTSSe and organic materials have been considered by many researchers as an absorber layer for the fabrication of solar cell [1,2,3]. Si is the most widely used absorber material which suffers from low throughput and high cost though up to 24.5% efficiency can be achieved using it [4, 5]. Up to 21% and 21.7% efficiency have been achieved for second generation CdTe and CIGS solar cell [6]. But due to the toxicity of cadmium and selenium, and less availability of tellurium and indium, an alternative material CZTS has achieved great attraction among the researchers during last couple of years [7, 8].

CZTS is a quaternary semiconductor with non-toxic earth abundant constituent material. It exhibits excellent photovoltaic properties such as absorption coefficient above 104 cm−1 and direct bandgap of 1.4–1.6 eV [9, 10]. The maximum reported efficiency of CZTS solar cell is ~ 11% [11]. For CZTS solar cell, researchers are using different buffer layers such as CdS, ZnS and CdZnS [12]. Among them CdS turned out as a most potential buffer layer for CZTS solar cell, even though it has toxic component and wastage probability [13].

Cadmium sulfide (CdS), a naturally grown n-type semiconductor is an important inorganic chemical compound in II–VI semiconductor family with excellent structural, optical and electrical properties [14,15,16]. The energy bandgap of CdS 2.42 eV allows maximum absorption of photons in the absorber layer [17]. For achieving enhanced performance of the CZTS solar cell, the thickness of the CdS buffer layer should be kept around 50 nm to reduce the absorption loss in the buffer layer [12]. For getting a more efficient buffer layer, the resistivity of CdS layer needs to be reduced which can be achieved through doping with different materials such as Silver (Ag), Copper (Cu), Chlorine (Cl), Indium (In), Aluminum (Al) and others [18,19,20,21,22]. The electrical, optical and structural properties of CdS are extremely delicate to the presence of these impurities and can be controlled by the amount of doping. In this simulation process, Silver (Ag), Copper (Cu) and Chlorine (Cl) have been considered as the dopant materials for CdS buffer layer for achieving high efficiency CZTS solar cell. To observe the effect of these dopants into the performance of the devices and to optimize the solar cell structure, numerical simulation seems to be an effective way.

In this work, numerical simulations based on SCAPS-1D solar cell modelling tool have been used to observe the effect of variation in carrier concentration and thickness of doped CdS buffer layer into the performance of the CZTS solar cell. Solar cell performance parameters such as open circuit voltage (Voc), short circuit current density (Jsc), fill factor (FF) and efficiency (η) have been calculated and performance analysis have been done for Cu-, Cl- and Ag-doped CdS/CZTS solar cell structures.

Device structure and methodology

Device structure

Figure 1 displays the solar cell structure used in this study. The structure starts with soda lime glass layer that has been used as the substrate material. A thin MoS2 layer with a thickness of 100 nm is used as it can be formed during experiment by the reaction of Mo back contact with sulfur contained in the CZTS layer of the solar cell [23]. The next layer is 2000 nm thick CZTS absorber layer which has been used to absorb most of the incident photons to produce electron–hole pairs. Doped CdS buffer layer has been used after the absorber layer to provide the band alignment with the CZTS absorber. Subsequently, as a window layer 80 nm thick Zinc Oxide (ZnO) which is less expensive and easily available, has been used to improve the light scattering. It basically enables the efficient use of sun light by maximizing the no of incident photons to the buffer and absorber layers [24]. Lastly, a transparent conducting film n-type Indium doped Tin Oxide (n-ITO) has been used with a thickness of 60 nm for increasing the carrier mobility via increased visible absorption to obtain a lower sheet resistance [25].

Fig. 1
figure 1

Schematic structure of CZTS thin film solar cell

Numerical simulation and material parameters

SCAPS-1D has been used for numerically evaluating the solar cell performance. The software is a one dimensional solar cell simulation software which was developed at the department of Electronics &Information Systems (EIS), University of Gent, Belgium, where up to seven different layers can be added in the cell definition panel of the software which makes it more efficient for solar cell simulation. Physical properties such as band gap, electron affinity, dielectric permittivity, electron and hole mobility, etc., for different layers can be adjusted in the layer properties panel for achieving the desired structure. The working point environment can be specified in the action panel. A large number parameters such as short circuit current density (Jsc), open circuit voltage (Voc), fill factor (FF), conversion efficiency (η) and other performance parameters can be calculated as well as displayed using the software SCAPS-1D [26].

The illumination of light has been from the right contact with “Air mass 1.5 global” spectrum with a light power of one sun (1000 W/m2) at working temperature of 300 K. Two types of single layer defect were introduced in the absorber layer and buffer layer for the simulations. The values of the physical parameters used in this study have been all taken from experimental study, different studies or reasonable estimates which have been summarized in Table 1 [27,28,29,30].

Table 1 The physical parameters of different layer

The simulations have been done in two steps: first by varying carrier concentration of the doped CdS buffer layer and then by varying the thickness of the doped CdS buffer using the optimized carrier concentration. At the time of each simulation, the solar cell performance parameters Voc, Jsc, FF and η have been calculated and plotted against carrier concentration and buffer thickness. During each simulation, the thickness and the physical properties of the other layer have been kept fixed.

Results and discussion

Effect of carrier concentration of doped CdS buffer layer

To study the effect of carrier concentration of doped CdS buffer on solar cell, simulations have been done on the structure shown in Fig. 1 with three different dopants such as Silver (Ag), Copper (Cu) and Chlorine (Cl) in CdS layer. In the case of Ag and Cu dopants, at lower doping both Ag+ and Cu+ ion can substitutionally replace the Cd+ ion resulting in lower carrier concentration. But with increased amount of doping, a great number of Ag atoms or Cu atoms start to occupy the interstitial site of the CdS lattice increasing the value of carrier concentration [18, 31]. However, in the case of Cl, the scenario is somehow different. As chlorine forms an anion, it substitutes the Sulfur ion of CdS instead of the Cadmium ion substitutionally. At higher doping concentration, there is annihilation of acceptor and donor center in CdS to incorporate Cl atoms leads to higher carrier concentration [32]. In this work, first the simulations have been done for Ag-doped CdS/CZTS structure. The carrier concentration has been changed from 2 × 1014 to 7 × 1015 cm−3 which is within the experimentally found values [18]. The variations of different solar cell parameters for Ag-doped CdS have been presented in Fig. 2 with respect to carrier concentration. The second set of simulations has been carried out for Cu-doped CdS/CZTS structure. The carrier concentration varied from 1 × 1016 to 9 × 1016 cm−3 which has been also found experimentally for Cu-doped CdS thin layer [19]. The variation of solar cell parameters for different carrier concentration for Cu-doped CdS has been shown in Fig. 3. The third batch of simulations has been done for Cl-doped CdS/CZTS structure. During these simulations, the carrier concentration of Cl-doped CdS has been changed from 3 × 1018 to 9 × 1019 cm−3, experimentally found by researchers [20].The variations of solar cell parameters have been displayed in Fig. 4. During all these simulations, the thickness of three CdS-doped buffer layers was fixed at 50 nm.

Fig. 2
figure 2

Effect of carrier concentration of Ag-doped CdS layer on aVoc, bJsc, c fill factor, d efficiency

Fig. 3
figure 3

Effect of carrier concentration of Cu-doped CdS layer on aVoc, bJsc, c fill factor, d efficiency

Fig. 4
figure 4

Effect of carrier concentration of Cl-doped CdS layer on aVoc, bJsc, c fill factor, d efficiency

For Ag-doped CdS, the lower concentration level results in higher barrier potential at CdS/CZTS heterojunction which leads to increase the Voc [33]. The increasing trend of Voc is found for the studied Ag-doped CdS as shown in Fig. 2a. Similar kind of increasing trend has been found for Cu-doped CdS up to carrier concentration of 3 × 1016 cm−3 (Fig. 3a). Then, with an increase in carrier concentration, Voc shows a decreasing trend up to 5 × 1016 cm−3, afterward it saturates for the studied range. It is likely due to the nonradiative recombination process which starts at buffer absorber interface. This recombination process increases the saturation current density resulting in a reduction in the value of Voc [33]. For Cl-doped CdS, no significant change has been found (Fig. 4a) which can be because of the fact that injection of new carrier at this concentration level cannot affect the solar cell performance that much. The value of Jsc has decreasing trend for all three dopants of CdS displayed in Figs. 2b, 3b and 4b, respectively. Increasing carrier concentration results in decreased diffusion length of the charge carriers leading to lower value of Jsc [34].

The fill factor changes according to the open circuit voltage and the changes have been shown in Figs. 2c, 3c and 4c for Ag-doped, Cu-doped and Cl-doped CdS, respectively. The conversion efficiency η has lower value for Ag-doped CdS initially which increases with increasing carrier concentration. This is due to the decrement of barrier potential in buffer absorber heterojunction which leads to an increment of zone of space charge. This results in a good collection of photo-generated carriers which increases the conversion efficiency [35]. This type of increasing trend of efficiency has also been observed for Cu-doped CdS up to 5 × 1016 cm−3.But as the concentration increases, more recombination occur at the heterojunction resulting in the suppression of the efficiency of solar cell for Cu-doped CdS [33]. The efficiency of Cl-doped CdS displayed in Fig. 4d seems independent for the studied range. The optimized solar cell parameters for the three doped buffer layer are summarized in Table 2.

Table 2 The optimized solar cell parameters for optimized carrier concentration of three doped buffer layer

Effect of doped CdS buffer thickness

The effect of CdS buffer layer thickness using three dopants Ag, Cu and Cl for the CZTS solar cell has been studied here. For each simulation, the doped CdS buffer thickness varied from 50 to 150 nm to find the suitable thickness of doped buffer layer. The carrier concentration of Ag-doped CdS, Cu-doped CdS and Cl-doped CdS were fixed at 7 × 1015 cm−3, 3 × 1016 cm−3 and 3 × 1018 cm−3, respectively, optimized from the previous simulations. The variation of solar cell performance parameters with respect to the thickness of doped CdS buffer layer has been displayed in Figs. 5, 6 and 7, respectively, for Ag-doped CdS, Cu-doped CdS and Cl-doped CdS.

Fig. 5
figure 5

Effect of thickness of Ag-doped CdS layer on aVoc, bJsc, c fill factor, d efficiency

Fig. 6
figure 6

Effect of thickness of Cu-doped CdS layer on aVoc, bJsc, c fill factor, d efficiency

Fig. 7
figure 7

Effect of thickness of Cl-doped CdS layer on aVoc, bJsc, c fill factor, d efficiency

The open circuit voltage for Ag-doped and Cu-doped CdS shows first increasing and then a decreasing behavior (Figs. 5a, 6a).However, this parameter has shown only decreasing nature for Cl-doped CdS (Fig. 7a). The open circuit voltage increases with increasing buffer layer thickness due to the increasing amount of photon absorption outside the hole diffusion length lowering the recombination rate [36]. At the same time, Voc is also affected by the carrier concentration of the buffer which does not allow it to increase further and so it starts to decrease after certain thickness (after 75 nm for Ag-doped CdS and after 100 nm for Cu-doped CdS) [37]. For Cl-doped CdS, the carrier concentration is so high that the recombination rate cannot affect the Voc and so only decreasing nature can be observed for this structure shown in Fig. 7a.

The short circuit density for all structures decreases with increased buffer thickness shown in Figs. 5b, 6b and 7b. As buffer thickness increases, the production of electron hole pair deteriorates due to the less injection of incident photon in the absorber layer and for this reason the value of Jsc decreases [28].

Another parameter fill factor of solar cell is inversely dependent on Voc and Jsc [37]. For Cl-doped CdS, the fill factor is influenced by the open circuit voltage and short circuit current density. The decreasing nature of both quantity leads to increase the fill factor of the solar cell shown in Fig. 7c. But for Ag-doped and Cu-doped CdS, fill factor decreases with an increase in thickness displayed in Figs. 5c and 6c. For Ag-doped and Cu-doped CdS, fill factor decreases due to the increased series resistance increasing with thickness which reduces the maximum achievable power output [38].

Finally, alteration of efficiencies for Ag-doped, Cu-doped and Cl-doped CdS are presented in Figs. 5d, 6d and 7d, respectively. For all three structures, the efficiency shows a decreasing trend. When the thickness of buffer layer increases, a great number of incident photons are absorbed in the buffer layer rather than the CZTS absorber layer. So the number of electron hole pair generation decreases and thus worsens the efficiency of solar cell [28]. The efficiency can also be deteriorated by the additional trapping level introduced by defect [39]. The optimized values of solar cell parameters for three doped CdS buffer layer for these simulations have been summarized in Table 3.

Table 3 The optimized solar cell parameters for optimized thickness of three doped buffer layer

Conclusion

In this work, numerical simulations have been done on three different structures containing three different doped CdS buffer layer (doped with silver, copper and chlorine) to numerically analyze the performance of CZTS solar cell by varying the carrier concentration and then thickness of the doped buffer layer. The numerical studies have showed significant changes for Ag-doped and Cu-doped CdS with respect to Cl-doped CdS for the variation of carrier concentration. The highest efficiency obtained for this simulation has been found 17.35% for both Cu-doped and Cl-doped CdS provided that the carrier concentration should be kept in between 1016 and 1018 cm−3. The study of thickness variation has indicated that the optimized thickness for each of the doped buffer layer should be around 50 nm to avoid the absorption of the incident photon in the buffer layer that can result in at higher thickness. The results direct the possibility to use doped CdS as an efficient buffer layer for high efficiency CZTS solar cell.