Appl. Phys. Lett., Vol. 81, No. 25, 16 December 2002
Matsui et al.
4753
TABLE I. Dark conductivity ( ), photoconductivity (ph), and photosen-
d
sitivity (ph / ) of poly-Si i layers with different crystalline volume frac-
d
tions (X ) measured with n-i-n and p-i-p sample structures.
c
Xc
n-i-n
d
ph
͑%͒
(p-i-p)
͑S/cm͒
͑S/cm͒
ph /d
Ϫ7
Ϫ5
3.4ϫ102
1.8ϫ102
2.7
ϳ50
n-i-n
p-i-p)
n-i-n
1.7ϫ10
8.3ϫ10
4.1ϫ10
5.8ϫ10
1.5ϫ10
1.1ϫ10
5.4ϫ10
Ϫ9
Ϫ5
Ϫ6
Ϫ4
Ϫ6
(
(
ϳ80
Ϫ10
1.4ϫ104
p-i-p)
3.8ϫ10
to be much higher than that for n-i-n, where ph / differs
d
FIG. 3. Calculated carrier recombination rate profiles along the grain bound-
ary position, at short circuit condition (Vϭ0 V) and at forward biased con-
dition (Vϭ0.43 V). Dashed and solid lines represent the calculation results
using S ϭ10 cm/s, N ϭ1013 cm ͑model A͒ and SGBϭ20 cm/s, NGB
by four orders magnitude. This result provides additional
support that photogenerated holes dominate minority carrier
transport in the highly crystallized poly-Si films.
It has been reported that the origin of earlier-mentioned
n-type character observed in highly crystallized poly-Si films
Ϫ3
GB
GB
ϭ1016 cm ͑model B͒, respectively.
Ϫ3
is attributed either to intrinsic nature or to the electrically
forward applied voltage is nearly close to open circuit con-
dition. In Fig. 3, model B reveals that the intensive carrier
recombination takes place near the p/i interface when V
ϭ0.43 V. Due to its n-type character, the built-in electric
field locally concentrates at p/i interface. Therefore, carrier
density at this depletion region is dramatically increased by
the forward bias application. Since the recombination rate is
determined by the product of majority carrier density and
minority carrier density, holes recombine with ‘‘majority’’
electrons at the p/i interface via the defective grain bound-
aries. This effect would account for the finding that Voc for
X ϳ80% is always lower than that for X ϳ50%.
active oxygen-related complex.2
,10–12
In general, it is widely
accepted that the oxygen-related donors concentrate at grain
boundaries in the poly-Si films,11 and oxygen contaminated
grain boundaries give rise to similar defect energy distribu-
1
2
tion as Si/SiO interface. This idea of such an electrically
2
activated grain boundaries with high donor concentration in
the poly-Si films allows us to give clear explanations for the
results of the thickness dependence of photovoltaic perfor-
mance shown in Fig. 1. The lines shown in Fig. 1 represent
calculated results based on the two-dimensional grain bound-
1
3
ary model in which uniform columnar grains in the i layer
with lateral grain size of 0.01 m are assumed. Here, the
dashed lines ͑model A: intrinsic͒ indicate simulation results
calculated with the surface recombination velocity at grain
boundary of SGBϭ10 cm/s and the effective donor concen-
tration at grain boundary of NGBϭ1013 cm . For the solid
c
c
In conclusion, we demonstrate that the ac-conductivity
measurement with n-i-n and p-i-p sample structures can be
applied to determine the individual electron and hole con-
ductivities along the poly-Si growth direction. The poly-Si
films with relatively low crystalline volume fraction Xc
ϳ50% exhibit intrinsic character, leading to the successful
high efficiency solar cell fabrication. In contrast, poly-Si
films with high crystalline volume fraction induce higher
film conductivity with n-type character. This effect is pro-
posed to be responsible for the pronounced reduction in Voc .
Ϫ3
line ͑model B: n type͒ SGBϭ20 cm/s and N ϭ1016 cm
Ϫ3
GB
are assumed. Preliminary studies1
3,14
have suggested that
SGB should be lower than 100 cm/s in order to reproduce
recent experimental results of poly-Si solar cells. NGB values
given in models A and B are set as their macroscopic dark
conductivities to be identical with the measured dark con-
ductivities for X ϳ50% and ϳ80%, respectively. Figure 3
c
1
shows the calculated carrier recombination rate along the
grain boundary position for both cases of models A and B, at
short circuit condition (Vϭ0 V) and at forward biased con-
dition (Vϭ0.43 V). The i-layer thickness is set at 5.0 m.
Under short circuit condition, carrier recombination rate in
model B is much higher than that in model A particularly at
an i-layer position adjacent to i/n interface. The considerable
recombination loss of photogenerated carriers found in
model B is ascribed to the higher SGB and to the lower
built-in electric field in the i layer due to n-type character.
This calculation result is consistent with the measured spec-
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2
3
4
5
6
7
8
9
0
tral response. In the solar cells with X ϳ80%, the rapid
c
decrease in Jsc at the thickness Ͼ3 m arises from the sig-
nificant decrease in the quantum efficiencies at longer wave-
lengths (Ͼ600 nm). Since the long wavelength response is
mostly determined by the diffusion length of minority carri-
ers generated at rear side of the solar cell, it can be inter-
preted as that the photogenerated holes are no longer col-
lected effectively if the cell thickness exceeds 3 m.
1
11
1
1
2
3
14
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The situation is quite different at Vϭ0.43 V at which
Solar Cells ͑NEDO, Tokyo, 2000͒, p. 41.
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