Characterization of grain boundaries in CdTe polycrystalline films
CdTe polycrystalline films with the average size of grains within the range 10…360 μm were grown on sapphire substrates by using the modified close-spaced sublimation technique. Transverse (across the film) and lateral (along the film’s surface) conductivity as a function of bias voltage and tempera...
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Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України
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Цитувати: | Characterization of grain boundaries in CdTe polycrystalline films / V.V. Tetyorkin, A.V. Sukach, V.A. Boiko, A.I. Tkachuk // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2015. — Т. 18, № 4. — С. 428-432. — Бібліогр.: 31 назв. — англ. |
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irk-123456789-1212692017-06-14T03:07:55Z Characterization of grain boundaries in CdTe polycrystalline films Tetyorkin, V.V. Sukach, A.V. Boiko, V.A. Tkachuk, A.I. CdTe polycrystalline films with the average size of grains within the range 10…360 μm were grown on sapphire substrates by using the modified close-spaced sublimation technique. Transverse (across the film) and lateral (along the film’s surface) conductivity as a function of bias voltage and temperature were measured using appropriate arrangement of contacts. The transverse conductivity exhibits ohmic behavior, whereas the lateral transport of carriers is dominated by potential barriers at the grain boundaries. The carrier concentration in the grains and the potential barrier height have been estimated. The inhomogeneous distribution of deep defects through the grains was found from the photoluminescence measurements. 2015 Article Characterization of grain boundaries in CdTe polycrystalline films / V.V. Tetyorkin, A.V. Sukach, V.A. Boiko, A.I. Tkachuk // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2015. — Т. 18, № 4. — С. 428-432. — Бібліогр.: 31 назв. — англ. 1560-8034 DOI: 10.15407/spqeo18.04.428 PACS 73.40.-c, 73.61.Ga, 78.30.Fs, 78.55.Et http://dspace.nbuv.gov.ua/handle/123456789/121269 en Semiconductor Physics Quantum Electronics & Optoelectronics Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
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CdTe polycrystalline films with the average size of grains within the range 10…360 μm were grown on sapphire substrates by using the modified close-spaced sublimation technique. Transverse (across the film) and lateral (along the film’s surface) conductivity as a function of bias voltage and temperature were measured using appropriate arrangement of contacts. The transverse conductivity exhibits ohmic behavior, whereas the lateral transport of carriers is dominated by potential barriers at the grain boundaries. The carrier concentration in the grains and the potential barrier height have been estimated. The inhomogeneous distribution of deep defects through the grains was found from the photoluminescence measurements. |
format |
Article |
author |
Tetyorkin, V.V. Sukach, A.V. Boiko, V.A. Tkachuk, A.I. |
spellingShingle |
Tetyorkin, V.V. Sukach, A.V. Boiko, V.A. Tkachuk, A.I. Characterization of grain boundaries in CdTe polycrystalline films Semiconductor Physics Quantum Electronics & Optoelectronics |
author_facet |
Tetyorkin, V.V. Sukach, A.V. Boiko, V.A. Tkachuk, A.I. |
author_sort |
Tetyorkin, V.V. |
title |
Characterization of grain boundaries in CdTe polycrystalline films |
title_short |
Characterization of grain boundaries in CdTe polycrystalline films |
title_full |
Characterization of grain boundaries in CdTe polycrystalline films |
title_fullStr |
Characterization of grain boundaries in CdTe polycrystalline films |
title_full_unstemmed |
Characterization of grain boundaries in CdTe polycrystalline films |
title_sort |
characterization of grain boundaries in cdte polycrystalline films |
publisher |
Інститут фізики напівпровідників імені В.Є. Лашкарьова НАН України |
publishDate |
2015 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/121269 |
citation_txt |
Characterization of grain boundaries in CdTe polycrystalline films / V.V. Tetyorkin, A.V. Sukach, V.A. Boiko, A.I. Tkachuk // Semiconductor Physics Quantum Electronics & Optoelectronics. — 2015. — Т. 18, № 4. — С. 428-432. — Бібліогр.: 31 назв. — англ. |
series |
Semiconductor Physics Quantum Electronics & Optoelectronics |
work_keys_str_mv |
AT tetyorkinvv characterizationofgrainboundariesincdtepolycrystallinefilms AT sukachav characterizationofgrainboundariesincdtepolycrystallinefilms AT boikova characterizationofgrainboundariesincdtepolycrystallinefilms AT tkachukai characterizationofgrainboundariesincdtepolycrystallinefilms |
first_indexed |
2025-07-08T19:30:25Z |
last_indexed |
2025-07-08T19:30:25Z |
_version_ |
1837108325727076352 |
fulltext |
Semiconductor Physics, Quantum Electronics & Optoelectronics, 2015. V. 18, N 4. P. 428-432.
doi: 10.15407/spqeo18.04.428
© 2015, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine
428
PACS 73.40.-c, 73.61.Ga, 78.30.Fs, 78.55.Et
Characterization of grain boundaries in CdTe polycrystalline films
V.V. Tetyorkin
1
, A.V. Sukach
1
, V.A. Boiko
1
, A.I. Tkachuk
2
1
V. Lashkaryov Institute of Semiconductor Physics, NAS of Ukraine,
41, prospect Nauky, 03680 Kyiv, Ukraine
2
V. Vinnichenko Kirovograd State Pedagogical University, Kirovograd, Ukraine
Phone: 38 (044) 525-1813, e-mail: teterkin@isp.kiev.ua
Abstract. CdTe polycrystalline films with the average size of grains within the range
10…360 m were grown on sapphire substrates by using the modified close-spaced
sublimation technique. Transverse (across the film) and lateral (along the film’s surface)
conductivity as a function of bias voltage and temperature were measured using
appropriate arrangement of contacts. The transverse conductivity exhibits ohmic
behavior, whereas the lateral transport of carriers is dominated by potential barriers at the
grain boundaries. The carrier concentration in the grains and the potential barrier height
have been estimated. The inhomogeneous distribution of deep defects through the grains
was found from the photoluminescence measurements.
Keywords: CdTe polycrystalline films, potential barrier height, carrier concentration,
sapphire substrates, grain boundaries.
Manuscript received 12.05.15; revised version received 19.08.15; accepted for
publication 28.10.15; published online 03.12.15.
1. Introduction
It is generally believed that grain boundaries in
polycrystalline films dominate their physical properties.
The influence of grain boundaries especially increases in
polycrystalline films composed of small grains. Because
of atomic structure and electronic properties of grain
boundaries are not fully understand, theoretical modeling
is regarded as a powerful means for investigation of
physical properties inherent to polycrystalline films. A
number of models were earlier developed [1, 2]. Among
others, Petriz’s model [3] seems to be the most cited. As a
rule, grain boundaries are modeled by identical
topological and atomic structure as well as electronic
properties. Naturally, in this case the potential barrier
height is unchanged through a polycrystalline film, and
its value can be estimated, for instance, from the DC
conductivity measurements. However, in ‘real’ films
atomic structure as well as electronic properties of grain
boundaries may vary within a separate grain, giving rise
to the barrier height fluctuation [1-3]. Moreover, bulk
properties of grains, such as inhomogeneous distribution
of native defects and impurities in the intragrain region,
variations in the grain size and form, can also influence
the barrier height. In this case, theoretical approaches
developed for transport phenomena in disordered
semiconductors may be useful for characterization of
polycrystalline films [4-6].
CdTe thin films are widely used for manufacturing
different semiconductor devices, namely: solar cells,
infrared, X-ray and gamma-ray detectors for medical and
industrial imaging systems, etc. [7-9]. To prepare CdTe
polycrystalline films suitable for device applications,
several methods as well as a range of substrate materials
were used. Fabrication of ohmic contacts to p-CdTe with
stable and reproducible characteristics still remains an
Semiconductor Physics, Quantum Electronics & Optoelectronics, 2015. V. 18, N 4. P. 428-432.
doi: 10.15407/spqeo18.04.428
© 2015, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine
429
important problem. Usually, it is achieved by formation
of heavily doped region at the surface by using
appropriate dopant. For instance, copper-containing
contacts have been developed for p-CdTe which include
utilization of Cu2Te, Cu-Au alloy, ZnTe:Cu and
HgTe:Cu [10-13]. Note that the highest reported
efficiency of solar cells (~16%) is achieved in CdS/CdTe
heterostructures incorporated copper-containing contacts
[9]. Unfortunately, fast migration of copper in CdTe
polycrystalline films results in the long-term degradation
of solar cell performance. Thus copper-free contacts
have attracted great attention in CdTe technology.
Several solutions were proposed earlier including usage
of different materials [14-16]. To clarify the role of grain
boundaries in CdTe polycrystalline films, a series of
samples with different sizes of grains were prepared.
Also, two arrangements of contacts were applied when
measuring the DC conductivity in order to estimate the
potential barrier height at the grain boundaries as well as
the concentration of mobile carriers in the grains.
2. Preparation of CdTe polycrystalline films
Investigated in this study CdTe polycrystalline films
were grown on sapphire substrates by a close-spaced
sublimation technique modified in our laboratory. An
undoped CdTe grown using the Bridgman technique was
used as an initial source material. The two-stage
deposition process has been developed for this purpose.
The polycrystalline films were preliminary deposited on
a glassceramic substrate. After that, they were mounted
at a source container for further deposition onto sapphire
substrates. Immediately before the deposition process,
the sapphire substrates were etched in aqueous solution
of hydrofluoric acid and washed in distilled water. The
substrate holder and source container were made from a
high-density graphite block. The distance between the
sapphire substrate and CdTe/glassceramic source was
adjusted from one to three millimeters. The developed
technological module was placed in a silica ampoule and
mounted in a vacuum chamber (P = 10
–4
Pa) using
vertical arrangement. The substrate was heated to
approximately 600 °C and kept at this temperature for half
an hour. After that, the substrate temperature was
gradually lowered down to the required value
350…400 °C. Simultaneously, the source temperature
was increased up to 500…600 °C. By changing the
growth time, the films with the average grain size ranging
from 10 up to 360 μm were grown. The grain size was
determined using the linear intercept method [17]. The
two-stage deposition process enabled us to grow
polycrystalline films with columnar structure of grains.
The lateral (along the film surface) and transverse
(across the film) conductivity were investigated using
appropriate arrangement of contacts. As a contact
material, Tl-doped p-PbTe with the impurity
concentration of 0.8 at.% was used. The hole
concentration in p
+
-PbTe was of the order of 10
19
cm
–3
at
room temperature. The ohmic nature of p
+
-PbTe/p-CdTe
contacts has been proved earlier [18]. To measure the
transverse conductivity, the films were sandwiched
between two contact layers grown by the same method.
The thickness of bottom and top layers was close to 30
and 20 µm, respectively. The top layer of p
+
-PbTe had
the area 0.5 cm
2
. Thereafter, Au metal pads were
electrolytically deposited onto the top p
+
-PbTe layer. In
the lateral arrangement, the distance between contacts
was approximately 2 mm. The photoluminescence
measurements were performed at 77 K under CW
excitation using the 633 nm line of an He-Ne laser. Two
excitation geometries were used in measurements with
the laser beam incident onto the free surface and the
CdTe/sapphire interface. The laser spot diameter
remained unchanged during measurements in order to
compare the photoluminescence intensity in samples
with different sizes of grains.
3. Experimental results
Typical current-voltage characteristics measured for
transverse and lateral arrangements of contacts are
shown in Fig. 1. As seen, the transverse conductivity is
characterized by the linear I–U characteristic that is
independent on the polarity of applied voltage. Contrary,
the current-voltage characteristic for the lateral
conductivity exhibited more complicate behavior,
namely: at low bias voltages the linear I–U dependence
is observed, followed by the sub-linear one at higher
voltages. The non-linear part is fitted by a power-law
dependence I~U
n
, with the exponent n ≈ 0.5.
-100 -50 0 50 100
-80
-40
0
40
80
I, A
U, mV
-0.4
-0.2
0
0.2
0.4
Fig. 1. Current-voltage characteristics for transverse (open
dots) and lateral (close dots) arrangement of contacts at room
temperature.
Semiconductor Physics, Quantum Electronics & Optoelectronics, 2015. V. 18, N 4. P. 428-432.
doi: 10.15407/spqeo18.04.428
© 2015, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine
430
The temperature dependences of the dark current
measured at a fixed bias voltage are shown in Fig. 2. For
the transverse conductivity, experimental data plotted in
co-ordinates lnI–1/T are represented by two linear
dependences. From their slopes, the activation energies
0.32 eV at T < 220 K and 0.48 eV at higher temperatures
were determined. It is important to note that these
energies are independent of the applied voltage. On the
contrary, for the lateral conductivity such a dependence
is observed, and the activation energy is increased from
0.58 eV at biases ≤10 V to approximately 0.69 eV at the
bias voltage 150 V. It is important to note that the
activation energy for the lateral conductivity exceeds
that for the transverse conductivity.
In principle, in CdTe polycrystalline films two
paths for the current flow are possible – across the grains
and along the grain boundaries [[19]. In the investigated
films, the contribution of grain boundaries to the overall
conductivity seems to be negligibly low due to two
reasons. First, it is generally believed that grain
boundaries are more disordered as compared to those of
the intragrain region [1, 2, 19]. This results in a higher
resistance of the grain boundary, when comparing to the
intragrain regions. Second, because of polycrystalline
films investigated in this study are composed of rather
large grains, the density of grain boundaries are rather
small. The linear current-voltage characteristics
observed for the transverse conductivity clearly indicate
its ohmic nature due to preferential transport of carriers
through the grains. Also, the high-frequency capacitance
measured in this structure was found to be determined
by the contact geometry and is independent of the
polarity of the bias voltage.
10
-8
10
-7
10
-6
6.05.04.03.02.0
I, A
2
1
1000/T, K
-1
10
-7
10
-6
10
-5
10
-4
Fig. 2. Temperature dependences of dark current for lateral (1)
and transverse (2) arrangement of contacts measured at the bias
voltage 10 V.
Two important problems may impede the correct
interpretation of transport properties in CdTe
polycrystalline film, namely: uncertainty in the doping
level and spatial distribution of charged defects inside the
grains. By using the result on the transverse and lateral
conductivity measurements, the first problem may be
clarified. At room temperature, the transverse conductivity
in the investigated films lies within the range
(2…6)∙10
5
Ω cm
2
. For the carrier mobility 10 cm
2
/V∙cm,
the hole concentration of the order of 1∙10
12
cm
–3
was
estimated for the intragrain region of a grain. In the
calculation, the contact area was assumed to be equal to
the physical area of the p
+
-PbTe contact pad. This
assumption is based on the fact that the lateral
conductivity is substantially lower in comparison with the
transverse one. For the lateral conductivity, the nonlinear
behavior of I–U characteristics indicates existence of
potential barriers at the grain boundaries. The increase in
the activation energy cannot be explained by the Frenkel–
Poole emission, since the ionization energy appearing in
this case decreases with the applied bias. Such a decrease
was observed, for instance, in ZnO polycrystalline films
[20]. To explain this result, a model of the grain
boundaries as double Schottky barriers is used. At a low
bias voltage, the barrier height for both barriers remains
almost unchanged, thus the dark current is determined by
the activation energy of defect states in the intragrain
region. At higher voltages, the activation energy increases
due to enhancement of the reverse biased barrier height.
Since mobile carriers are thermally activated in the
intragrain region, the carrier concentration is given by
the expression [2, 21]
pG ~ exp(–Ep /kT), (1)
where Ep is the activation energy of carriers. The
conductivity can be written as
σ ~ exp(–ΔE/kT). (2)
Thus, the relationship between the characteristic
energies is
ΔE = Ep + φB, (3)
where φB is the barrier height (the band bending) at the
grain boundary. Taking into account that φb = 0 for the
transverse conductivity and Ep is not changed, the barrier
height may be estimated from the difference between the
activation energy for the lateral and transverse
conductivity. To the authors knowledge, this method for
determining the barrier height in CdTe has not been used
in application to CdTe polycrystalline films. The
potential barrier height within the range 0.2…0.3 eV at
zero temperature and approximately 0.1 eV at room
temperature was obtained. It should be pointed out that
the determined values agree well with the data reported
earlier [22].
In the Petriz model [2, 3], the barrier height is
given by the relation
qφb = kT ln(pG /pGB), (4)
Semiconductor Physics, Quantum Electronics & Optoelectronics, 2015. V. 18, N 4. P. 428-432.
doi: 10.15407/spqeo18.04.428
© 2015, V. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine
431
where pGB is the hole concentration in the intergrain
(boundary) regions, respectively. For the mean value of
pG = 1∙10
12
cm
–3
, the hole concentration trapped at the
grain boundary is of the order of 3∙10
10
cm
–3
.
In the above estimation, the spatial distribution of
defects is assumed to be uniform. However, it has been
previously shown that in the investigated films the grain
boundaries are represented by the dislocation network
[23]. Taking into account the gettering effect of
dislocations in polycrystalline films [24], this result
implies inhomogeneous distribution of impurities in the
intragrain regions. This conclusion may be referred also to
deep defects as well. Their existence has been proved by
photoluminescence spectra measurements in the films
composed of grains with different sizes, Fig. 3. The
observed photoluminescence bands with the peaks at 0.85
and 1.1 eV are attributed to deep defects localized in the
intragrain regions. The reason for this assumption is that
the intensity of both spectral bands is higher in the films
composed of larger grains. In the film with the 10-m
grains, the measured signal was too weak to be measured
reliably. Also, as seen from Fig. 3, the intensity of the
measured spectra depends on the excitation geometry.
This result indicates inhomogeneous distribution of deep
defects in the intragrain region of grains. Its effect on the
barrier height is not clear. However, the pronounced
increase in the doping level at the grain boundaries has
been found earlier in CdTe polycrystalline films with the
barrier height of 0.78 eV [25]. In order to fulfil correct
estimations of the barrier height, more sophisticated
investigations are needed.
1
2
3
4
1.31.21.11.00.90.80.7
80
150 80
150
360
360
P
h
o
to
lu
m
in
e
s
c
e
n
c
e
i
n
te
n
s
it
y
,
a
.u
.
Energy, eV
Fig. 3. Photoluminescence spectra related to deep defects in
polycrystalline films with the grain size 80, 150 and 360 µm
measured for the front-side (dashed curves) and back-side
(solid curves) excitation.
Deep defect states in undoped CdTe were
investigated by many authors, and their energy levels
were found in the bandgap of CdTe by various
experimental methods [28-31]. The most important
defects are vacancies, interstititals and antisites of both
constituents, Cd and Te, as well as complexes with their
participation such as TeCd-VCd. However, identification
of these levels remains controversial. A most likely that
the photoluminescence line at 1.1 eV is caused by
recombination of electrons at the acceptor level of
doubly ionized cadmium vacancy. Its ionization energy
measured from the valence band edge is found to be less
than 0.47 eV [28, 29]. The photoluminescence line at
0.85 eV is related to deeper level at the midgap, and its
identification is less clear. Presumably, it may be
ascribed to the complex TeCd-VCd [30].
The width of the space charge region related to this
barrier is comparable with the grain size or even exceeds
it. For the determined value of the barrier height 0.2 eV,
the space charge region width is ranged from 9 m at
zero bias voltage up to 280 m for the bias voltage
100 V. These estimates were obtained for the hole
mobility close to 10 cm
2
/V∙s by using the room
temperature conductivity values for the transverse
arrangement of contacts.
4. Conclusions
1. The conductivity is investigated in CdTe
polycrystalline films with the columnar structure of
grains within the temperature range 218…387 K.
The transverse (across the film) conductivity is
shown to be ohmic in its nature. The concentration
of holes in the intragrain and intergrain regions are
of the order of 10
12
and 10
10
cm
–3
, respectively.
2. The lateral conductivity is dominated by the
potential barriers at the grain boundaries. The barrier
height is estimated to be of the order of 0.2…0.3 and
0.1 eV at zero and room temperature, respectively.
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