3. Results and discussionAccording to Ref. [11], the valance band offset (VBO) can be calculated using the formula
Here
and
are the energy positions of the valence band maximum (VBM) of CZTS and In
2S
3 films, and
is the band bending determined by the following expression
where
(
) is the core-level (CL) energy of a selected element in the bulk material of In
2S
3 (CZTS), and
(
) is the core-level energy of the same element at the heterojunction interface. Then the conduction band offset (VBO) can be obtained by
with
(
) being the energy band gap of In
2S
3 (CZTS). In this study, we assume that the binding energy below the Fermi energy is positive, and thus a negative VBO (CBO) value indicates a lower valance (conduction) band edge in In
2S
3 than that in CZTS. The reference CLs in CZTS can be chosen from Cu, Zn, and Sn, and that in In
2S
3 is adopted to be In. In this work, the final VBO values are determined by averaging the VBO values obtained by using the CL pairs In/Cu, In/Sn, and In/Zn, respectively. Figure
1 shows the valance band spectra of the In
2S
3 and CZTS films, In 3d core-level spectra of the In
2S
3 and CZTS/In
2S
3 (deposited at 150 °C) samples, Zn 2p core-level spectra of the In
2S
3 and CZTS/In
2S
3 (deposited at 150 °C) samples, respectively. The VBM values of CZTS and In
2S
3 are determined to be
eV and
eV, respectively, by extrapolating the linear edges of the valence band spectra to the baseline, as shown in Fig.
1. The CL positions are obtained by fitting the CL binding energy spectra to Voigt function, a mixed Lorentzian–Gaussian function with a Shirley background, as shown in Fig.
1. The CL positions in the bulk material and heterostructures deposited at different temperatures are shown in Table
1, where the CL positions in bulk material are measured in the materials deposited at room temperature, since the CL positions of bulk material do not change with deposition temperatures for the current investigated temperature range. Substituting the CL energies and the VBM values into Eqs. (
1) and (
2) and averaging the values obtained by CL pairs In/Cu, In/Sn, and In/Zn, we determine the
to be
,
,
, and
eV, and VBO values to be
,
,
, and
eV for the heterostructures with the buffer layer In
2S
3 deposited at 30, 100, 150, and 200 °C, respectively, as shown in Table
2. The
and VBO values of the sample deposited at 30 °C are in good agreement with that reported in Ref. [
6] (
:
eV, VBO:
eV) within experimental errors.
Table 1.
Table 1.
| Table 1.
Core-level energies obtained by the XPS spectra fitting for the bulk In2S3, bulk CZTS, and CZTS/In2S3 heterostructures deposited at different temperatures.
. |
Table 2.
Table 2.
| Table 2.
values and the band offsets of the heterostructures deposited at different temperatures.
. |
The band gap
of the CZTS and In2S3 films deposited at different temperatures are obtained by the transmittance and reflectance spectra by the following equation
where
α is the optical absorption coefficient of the film,
A is a constant related to the effective mass, and the value of
m indicates different types of transitions, i.e.,
m = 0.5 stands for allowed direct, 1.5 for forbidden direct, 2 for allowed indirect and 3 for forbidden indirect transitions, respectively. A linear interval cannot be found for the curve of
versus
indicating that the band gap of In
2S
3 investigated here is not direct. However, a good linear interval can be found in the plot of
versus
, suggesting an indirect band gap of In
2S
3 films. Thus, the band gap of In
2S
3 films deposited at 30, 100, 150, and 200 °C are determined to be 2.03, 2.14, 2.01, and 1.92 eV, respectively. It can be seen that the band gap of In
2S
3 films varies with deposition temperatures. The band gap of CZTS is direct and determined to be 1.45 eV. Then the CBO values are estimated by Eq. (
3) to be
,
,
, and
eV corresponding to the heterostructures deposited at 30, 100, 150, and 200 °C, respectively, which are also shown in Table
2.
The CBO can also be easily calculated by using the Anderson model,[12] if electron affinity χ of In2S3 and CZTS are known. Electron affinity χ of In2S3 and CZTS are estimated to be
[13] and 4.33 eV,[14] respectively. Therefore, the CBO of In2S3/CZTS heterostructures is estimated to be
eV, which agrees with that obtained by XPS within the experimental errors.
With the values of VBO, CBO, and
available, the band alignment at the interface of the heterostructures are obtained, whose diagrams are plotted in Fig. 2. The band bendings at the interface on the side of In2S3 and CZTS are calculated by the first and second part of Eq. (2), respectively. One can see that the band alignments of the heterostructures belong to ‘type I’ no matter at which temperature they are deposited. With the increase of the growth temperature, the value of VBO increases and that of CBO decreases. It is worth noting that the band of In2S3 deposited at 200 °C bends down at the interface, indicating a large number of interface defects or a p-type compound forming at the interface. In order to figure out the possible impurity at the interface of the heterostructure deposited at 200 °C, we perform the element content analysis of the four heterostructure samples by XPS, and the results are shown in Table 3. It can be seen that, at the interface, the concentration of In element decreases with increasing temperatures (from 13.8 at.% to 6.3 at.%), while that of Cu decreases with increasing temperatures (from 5.8 at.% to 25.4 at.%). The element contents of Sn and Zn do not show significant change with temperatures. Therefore, it is obvious that strong inter-diffusion of In and Cu occurs at the interface of CZTS/In2S3 heterostructure, which are especially serious at high temperatures. Since there are a lot of cationic vacancies in In2S3, it can be easily doped by Cu.[15–17] According to the phase diagram of the Cu–In–S system and considering the high copper concentration in the interface of heterostructure deposited at 200 °C, we infer that a compound of CuInS2 with a p-type conductivity may be formed at the interface, which may lead to the downward bending of the band on the side of In2S3 at the interface.
Table 3.
Table 3.
Table 3.
Element content at the interface of the heterostructures deposited at different temperatures.
.
Element |
30 °C/at.% |
100 °C/at.% |
150 °/at.% |
200 °C/at.% |
In |
13.8 |
10.6 |
8.6 |
6.3 |
Sn |
52.3 |
50.3 |
47.5 |
44.2 |
Cu |
5.8 |
9.5 |
15.7 |
25.4 |
Zn |
28.1 |
29.6 |
28.2 |
24.2 |
| Table 3.
Element content at the interface of the heterostructures deposited at different temperatures.
. |
In order to investigate the influence of the deposition temperature of the buffer layer as well as the band alignments of the heterostructures on the device performance, the CZTS solar cells with the buffer In2S3 deposited at temperatures of 30, 100, 150, and 200 °C, named as samples A, B, C, and D, respectively, are prepared. J–V curves of the devices are shown in Fig. 3 and the detailed parameters of the devices are also summarized in Table 4. From Table 4, one can see the short circuit current
of sample A is nearly equal to that of sample C, but the open circuit voltage
of sample C is higher than that of sample A, leading to a higher conversion efficiency. The performance of the solar cell may be closely related to the band alignment of the heterostructure. According to the simulation by Minemoto et al.,[18] when the CBO value is larger than 0 eV,
should be nearly constant. Thus, the
values of samples A and C are expected to be nearly equal since their CBO values are all larger than 0 eV. However, the
of sample C is much larger than that of sample A. The possible reason for this phenomenon may be attributed to the suppression of the defects, which will cause undesirable recombination, by the appropriate deposition temperature (150 °C). Specifically speaking, when the growth temperature of In2S3 is increased to 150 °C, much of the water vapor and other impurities will leave the substrate surface and, moreover, the In2S3 particles just arriving at the substrate surface will get more kinetic energy to get together to form a much denser film. As a result, the interface defects are dramatically reduced, leading to the increase of
. One can note that sample B presents the poorest performance, which can be owing to the large value of CBO (
eV). This CBO value is much larger than the optimal value of being in the range of 0 eV–0.3 eV,[5] and it will act as a barrier against the photo-generated electrons, leading to the extremely small value of
.[18] When the deposition temperature is increased up to 200 °C, the performance of the device is also not good, although its CBO value (
eV) is within the optimal range. This phenomenon may be attributed to the large amount of interface defects or the formation of CuInS2 compound at the interface induced by the high deposition temperature, as we mentioned above. Specifically, acting as a recombination center, interface defects will greatly reduce
, and, due to the p-type conductivity of CuInS2, its formation will degrade the quality of the heterostructure resulting in poor performance of the solar cell. A similar effect is also observed in Cu(In,Ga)Se2 solar cells buffered with In2S3,[17] i.e., the solar cell efficiency is dramatically decreased when the deposition temperature is increased from 130 °C to 200 °C, which is possibly due to the formation of the p-type CuInS2 compound at the heterostructure interface. It can be seen that the deposition temperature of the buffer layer has a significant influence on the performance of the solar cell.
Table 4.
Table 4.
| Table 4.
Performance characteristics of the solar cells with the buffer layer deposited at 30 (room temperature), 100, 150, and 200 °C, respectively.
. |