Quality Evaluation for Microcrystalline Silicon Thin-Film Solar Cells by Single-Layer Absorption

The absorption coefficient at 1.4 eV is divided by the value at 0.9 eV to obtain the factor used to judge the quality of μc-Si:H. PV device performance can be predicted by multiplying Voc with Isc when using this layer as an intrinsic layer. The results show a good relationship between the quality factor and the product of open-circuit voltage and short-circuit current. However, the final efficiency is influenced by the identities of the interface in the multilayer structure.


Introduction
Hydrogenated silicon thin film is a potentially important material in the development of thin-film solar cells.Defect density in hydrogenated amorphous silicon (a-Si:H) or hydrogenated microcrystalline silicon (μc-Si:H) thin film has been studied in the past years as an important measure of the material quality [1].The dangling bond is the main type of defect in a-Si:H and μc-Si:H and will introduce defect states within the mobility gap.The defect density influences the carrier transport and is therefore crucial for photovoltaic devices.
Defect density in silicon thin film can be determined by the electron paramagnetic vesonance (EPR) which is the most direct method for defect measurement.However, this method is not sensitive for determining the defect density when their density in the film is low.Constant photocurrent measurement (CPM) [2,3] is known to be a sensitive method for evaluating the bulk defect density from optical absorption.The low-energy photon absorption leads to carrier transitions from the forbidden-gap defect states to the conduction band.In amorphous silicon, the center of the Gaussian distribution defect is located at ∼1. 2 eV below the bottom of the edge of the conduction band in the distribution energy of the density of state (DOS) [1].
The absorption coefficient at 1.2 eV photo energy is directly related to the defect density in a-Si:H.
There exists a large variety of structural μc-Si:H compositions including amorphous silicon, crystalline silicon grains, grain boundaries, and voids.The absorption in μc-Si:H is influenced not only by the amount of defects but also by the crystallization volume fraction.The absorption spectrum measured by CPM also contains information about the crystallinity at a photon energy of 1.4 eV [4].Klein et al. suggested that defects in μc-Si:H may contribute to the absorption peaks at or below 0.9 eV [5].However, in μc-Si:H thin films, dangling bonds could exist in the amorphous phase or at the grain boundaries and even in the crystalline phase.There are still considerable debates about the meaning of the absorption coefficient at 0.9 eV.
In this study, μc-Si:H intrinsic layers and μc-Si:H thin film solar cells were fabricated by PECVD.The absorption coefficient (α) of the μc-Si:H thin film intrinsic layers was between 0.8 to 2.1 eV as characterized by CPM.We confirmed that the absorption coefficient at a photon energy of 1.4 eV increased with increasing crystallinity of μc-Si:H.We also found that the absorption coefficient at a photon energy of 0.9 eV decreased with increasing crystallinity, perhaps related to a reduction in the ratio of the amorphous phase in μc-Si:H.The electrical properties of μc-Si:H thin International Journal of Photoenergy films were also influenced by both the defect density and crystallization volume fraction [6].From this, we found, for the first time, a linear relationship between the ratio of α (1.4 eV)/α (0.9 eV) for μc-Si:H intrinsic layers, multiplied by the open-circuit voltage and short-circuit current (V oc × I sc ) of the corresponding μc-Si:H thin-film solar cell.Hence the ratio of α (1.4 eV)/α (0.9 eV) of a μc-Si:H thin film becomes a factor for evaluating the quality of such films for photovoltaic applications.

Experiments
2.1.Preparation of Microcrystalline Silicon Thin Film.Microcrystalline silicon (μc-Si:H) thin films were deposited on soda-lime glass substrates by plasma-enhanced chemical vapor deposition (PECVD) using silane with different hydrogen dilution ratios.Each of the μc-Si:H thin films has a different crystallization volume fraction.Film thickness is calculated from the interference pattern of the sample transmittance, which is controlled to be about 0.9 μm for each sample.The crystalline volume fraction X c (%) is calculated by the area ratio of the three Gaussian peaks in the Raman spectra at 480 cm −1 , 510 cm −1  , and 520 cm −1 [7].Single junction μc-Si:H thin-film solar cells were prepared by PECVD with different X c for the intrinsic layer.The absorption coefficient of the intrinsic layer was also characterized by CPM.Key parameters such as open-circuit voltage (V oc ), short-circuit current (I sc ), fill factor (FF), and cell efficiency of those device were measured under standard test conditions.

Constant Photocurrent Measurement.
A pair of parallel aluminum contacts was deposited on μc-Si:H thin films in order to perform constant photocurrent measurement.The contacts were 1 cm in length and spaced 0.1 cm apart.We use the transmittance type CPM (T-CPM) suggested by Sasaki et al. [8] to measure the absorption coefficient of μc-Si:H thin films where a constant voltage bias is applied on the μc-Si:H thin film to acquire the photocurrent under illumination.The photocurrent was collected by a computercontrolled Keithley 6485 electrometer.A monochromatic light beam illuminated the backside of the sample in order to avoid surface roughness-induced scattering.The photoconductivity can be expressed as where Δn is the excess carrier density and μ is the electron mobility.In the steady state, the excess carrier density can be written as Δn = Gτ, where τ is the excess carrier lifetime and G is the photoexcitation rate.The average photoexcitation rate can be also expressed as where d 0 is the film thickness, Φ is the photon flux of incident light, and A is the absorbance of the film.Due to fact that the detector is placed behind the sample in T-CPM, the signal received by the detector is proportional to the flux of the incident light multiplied by the transmittance: If we combine (1) and ( 2) and substitute the expression of photon flux of the incident light from ( 1) and ( 2), the detector signal can be expressed as: By keeping the photocurrent constant, the quasi-Fermi level of the majority carriers is fixed.Assuming that the mobilitylifetime product is wavelength independent, we can obtain the relationship where C ref is a calibration factor.The calibration factor is estimated by taking the ratio of detector signal with the sample A/T obtained from the UV-Visible spectrometer at the photon energy of 1.9 eV.The value of the detector signal after calibration is then substituted into the Ritter-Weiser formula [9] to calculate the defect-related absorption coefficient where R 2 is the reflectivity of the air-film interface, which is 0.36 for the case of backside illumination.

Results and Discussion
Figure 1 shows the Raman spectra of three kinds of μc-Si:H thin films.The X c of these films are 41.2%, 55.7%, and 63.5%, respectively.The corresponding absorption coefficient of the μc-Si:H thin films is shown in Figure 2. We can see a conspicuous difference with the varying of the X c of the film.The characteristics of the absorption spectrum can be divided into three parts as follows.

Photon Energy Greater Than 1.8 eV.
The absorption coefficient at a photon energy larger than 1.8 eV showed an inverse proportionality to the crystallinity of the film.
The μc-Si:H thin film is composed of amorphous tissue and small crystal grains as well as the grain boundaries.
Because the absorption of amorphous silicon is larger than crystalline silicon, the absorption coefficient will tend to have amorphous features from the statistical point of view if the X c of the μc-Si:H thin film is reduced.

Photon Energy around 1.4 eV.
The results show that the absorption coefficient around 1.4 eV increased with X c ,  which reflects the fact that the absorption coefficient around 1.4 eV is dominated by the c-Si.The photon energy around 1.4 eV is lower than the bandgap of a-Si and relates to the Urbach tail in the absorption coefficient diagram.However, a photon energy around 1.4 eV can be strongly absorbed by c-Si and excite the carriers from the valance band to the conduction band.Therefore, the absorption coefficient of c-Si at 1.4 eV is 3 orders of magnitude larger than that of a-Si, and dominate the absorption coefficient of μc-Si:H from the macroscopic point of view.This is in good agreement with the results proposed by Siebke et al. [4].

3.3.
Photon Energy below 0.9 eV.The photon energy is not enough to make a band-to-band transition for both c-Si and a-Si, but it is enough to excite the carriers from the defect states to the conduction band.Previous studies have shown that the absorption is caused by a defect-related transition in the amorphous phase and in the crystalline grains [10].Because μc-Si:H thin film is composed of a-Si and c-Si, the magnitude of the absorption coefficient at photon energies of 0.9 eV indicates the number of defects of a μc-Si:H thin film [5].In Figure 2 it can be seen that the absorption coefficient at 0.9 eV decreases with increasing X c .Although we cannot tell the number of grain boundaries in each sample simply from the value of X c , we can speculate that most of the dangling bonds will be located in the amorphous Photon energy (eV) ) phase.Reduction of the volume fraction of the defect-rich amorphous phase could lead to a decrease in the defect concentration for a μc-Si:H thin film from the statistical point of view.We can conclude from the above that the electricaldependent properties, such as the crystalline volume fraction and defect density of the μc-Si:H intrinsic layer, will be reflected in the absorption spectrum.The absorption spectrum of the μc-Si:H intrinsic layer might be associated with the I-V characteristics of the μc-Si:H thin film solar cells having the same intrinsic layer.In this part of the experiments, we prepared μc-Si:H intrinsic layers at different hydrogen dilution ratios by PECVD.The X c varied from 56.7% to 63.4%.The absorption coefficient of these thin films was measured by CPM, and the results are shown in Figure 3.
P-I-N single junction μc-Si:H thin-film solar cells with corresponding μc-Si:H intrinsic layer were also fabricated.The electrical properties such as the V oc , I sc , fill factor, and conversion efficiency were also examined under the standard test conditions.In Figure 3 we can see clearly that the absorption coefficient at 1.4 eV is proportional to the crystalline volume fraction.The small difference in X c between each sample makes the trend of the absorption coefficient at 0.9 eV appear blurry, but it does show a gradual decay with increasing X c .The I-V characteristics of the cells are listed in Table 1.We defined a "quality factor" by taking α International Journal of Photoenergy   (1.4 eV)/α (0.9 eV) of the intrinsic layers shown in Figure 3. Surprisingly, we found a linear relationship between the "quality factor" and the V oc × I sc of the corresponding cells shown in Figure 4.For a single junction silicon thin film, the short-circuit current (I sc ) and open-circuit voltage (V oc ) were both influenced by the carrier mobility and carrier lifetime [11].The V oc is inversely proportional to the carrier lifetime, which is determined mainly by the defect density; I sc is proportional to the carrier mobility, which is controlled by the crystalline volume fraction [12].Since α (1.4 eV) is proportional to X c and α (0.9 eV) is proportional to the defect density, we can prove the linear relationship between the quality factor and V oc × I sc by the following formula: Moreover, we cannot have such a good approximation if we plot the quality factor of the intrinsic layer and the efficiency of the corresponding cell as shown in Figure 5.The efficiency of the cell is determined by where P in and FF represent the input power and the fill factor of a cell.The fill factor is related to the series and shunt resistance of a device, which is not only determined by the quality of the intrinsic layer but also by the interface resistance between the silicon thin film and the electrodes [11].Hence, the quality factor is only suitable for the indication of the V oc and I sc product rather than the device efficiency.

Conclusion
We have demonstrated that the characteristic μc-Si:H absorption of each wavelength will vary with differences in crystallinity.The absorption coefficient at a photoenergy of 1.4 eV as measured by CPM was proportional to the crystallization volume fraction of μc-Si:H.By dividing α (1.4 eV) (proportional to the crystallinity) with α (0.9 eV) (proportional to the defect density), we can judge the quality of μc-Si:H and even predict the PV device performance, using the same μc-Si:H layer as in its intrinsic layer.However, the efficiency of microcrystalline solar cells is also influenced by the interface and other properties.The fill factor will affect the efficiency.The fill factor will affect the efficiency leading the error when we use predict the efficiency of microcrystalline solar cell by μc-Si:H quality factor.

Figure 1 :
Figure 1: Raman spectra of μc-Si:H thin films with different crystalline volume fractions.

Figure 2 :
Figure 2: Absorption coefficients of μc-Si:H thin films with different crystalline volume fractions.

Figure 3 :
Figure 3: Absorption coefficients of μc-Si:H thin films for the corresponding cells.

Figure 4 :Figure 5 :
Figure 4: Relation between quality factor and V oc * I sc .

Table 1 :
Performance of each μc-Si:H thin film solar cell with different crystallinity X c (%) in the intrinsic layer.