Journal oTNon-Crystalline Solids 95 & 96 (1987) North.HoUand. Amsterdam
UV ABSORPTION
Hideo
SHAPE
HOSHI,
Yoshiro
Department of Aoba Aramaki,
Optical
3.5eV
SUZUKI
Applied Sendai,
749
AND 5.6eV
and
spectra
for
of
a-As2S3
have
lowed seems served, tion.
the linear relation of (nE)1'2 linear above 3.5eV. Condisering a stepwise conduction state
a-As2S3
FILMS
AT BOK
HIRAI
Physics, Faculty 980, Japan
absorption
IN VERY THIN
Masamitsu
797nm sorption deduced
1.
Engineering,
films
vs. is
Tohoku
with
been measured at 80K after annealing coefficient (a) at the energies (E's) by correcting the interference effect.
University,
thickness
from
65nm
to
at 463K for 2 hours. Net abfrom 2.0eV to 5.6eV has been Although a below 3.5eV fol-
E, the the density suggested
relation of the to explain
of (uE)vs. E valence state obthe both rela-
INTRODUCTION The
photo-darkening
siderable devices.
the
The edge
optical
thin
because PO has
generally low
the
absorption
absorption
changes (-6.0eV)
seemed
useful
of to
distortion
of film
present
the
paper,
from
2.0eV
to
in
connection
state
and
induced
only
at
main
absorptin
the
the
the
for
a-As2S3 the
in
ragion
microscopic
at
the
absorption
In
and
the
463K,
with
also
and of
the
the
paper?
significant in
the
the In
energy
the
region
absorption of
the
we provide and
peak
difficult.
density
region,
the
the
measurement
PO, the
discuss the
very
that
reflection
in
abfrom
using
at
above
change
following energy
of
spectra
shape
above
but
multiple
absorption
of
showed
the
mechanism
the
region
(-2.5eV)
of
80K
shift
we recently
by
distribution
the
energy
caused
con-
However,
Although
band2.
corrected
state.
change
the
films,
analysis
with
conduction
of
extended
edge
received
photo-functional
photo-illumination'.
the
the
have to
as a parallel
the
(a-As2S3)
absorptionspectra
5.6eV
absorption
mechanism
not
glasses
application
by in
the
further
chalcogenide
characterized
side
trisulfide
we report
shape
in potential
been
energy
understand
the
made
the
measurement
arsenic
region
(PD)
of
to
amorphous
thin
effect
interest
sorption
2.
BETWEEN
749 - 756
valence the
discuss
the
photopossible
PD .
EXPERIMENTALS Thin
quartz deviation
films
of
from
0022-3093/87/$03.50 (North-Holland
a-As2S3
were
A slow
substrata. the
Physics
stoichiometry
0 Elsevier Publishing
prepared
deposition
by rate
in
vapor
deposition
(-O.lnm/s)
the
films.
Science Publishers Division)
B.V.
was Further
on used details
to synthesized to
prevent of
the
the prepara-
the
H. Hmhi
750
tion
procedure
have
tional
cryostat
higher
temperature
those
in
affected
by
been
and
the
Ref.
463K time
30min).
annealing
shape
in
at
longer
2 (443K,
absorption
with
described
annealed and
Ref.
Optical
E, al. / UV absorption
for
The films
used
the
obtain
well
The experimental
330
in
annealed were
be reported
is
about
the films
than
a little
elsewhere6.
spectrophotometer
accuracy
a conven-
work,
changes
will
Hitachi
kept
present
absorption
The detail with
were
In
to
Photo-induced
measured
a micro-computer.
2. 2 hours.
were
condition.
were
betweecn 3.5 c V owl 5.6 e V
controlled
0.003
in
optical
density. The the
following
observed
equation optical
was
density
(1 ODf
used
of
RS andTS
Rf and incident the
are
Tf are from
- RSRf)(l
a-As2S3
film
dispersion The
thickness
spectra, be
presented
3.
RESULTS
(a,),
refractive
those
the
the
with
Fig.1.
Back
ground
subtracted. region,
effect
in
at
are
the
can
be
represented
index
(n,),
substrata
(us, af(E),
(n,,
ns,
ts) the
quartz
substratum.
films
with
for
ts),
net
of
referring
the
4 and
interference
fringes of
the
absorption by
literatures
details
of
(t,)
deduced
the
light
functions
thickness
ns,
to
Further
the of
were
from
797nm.
in
This
interference
2,
seems coefficient
energy
region
and
the
to
assure is
the
various
reliability
considerably
(dashed
curve
the
5. in
analysis
in
IR will
Fig.2)
the
corrected
to
Net
an
reported also
close
ir. were
to
high
reflection
the
method
the
a-As2S3
absorption
correction.
that and
spectra
by
follow
presented windows
multiple
for
Fig.2.
heat-treated is
extended by
thickness our
for
cryostat
coefficients
of close
in
more
was
plotted
with
and
distorted
absorption
were
films
give
80K
thickness
substratum
the
effect
net
at
respective
obviously
the
thickness the
to films
were
respective
result
thinner
spectra
The
due
spectra
films.
from
absorption
thickness.
the
Section
obtained
optical
absorption
those
the
with
low
transmittance
energies,
to
of
and
determined
65nm
various
Although
energy
sorption
quartz
was
from
in
AND DISCUSSIONS Fig.1
This
effect
Ref.6.
films
films
transmittance
(1)
constants
films
ranged
a-As2S3
described
the photon
optical
in
cients
of
respective
in
Shown
and
reflectivity
coefficient
of and
reflectivity
eq.
of
reflectin
(1)
effective
and
multiple
- R:)TfTs
Since
at
the
- Rs12
substratum.
absorption
coefficient
the
the
correct (ODf).
= log (1
where
to
films
coeffi-
identical
curve.
The
present
by
Kosek
and
to
that
by
abTauc7
Drews
et
H. Hoshi
5
et al. /
a-As+, 797m
Optical at 80K.
at
high
5
ENERGY
3.5 e V ud
5.6 e V
751
energy
The
absorption
is
generally
constant
6
(eV)
FIGURE 1 spectra
absorption
8
the
between
at BOK 8OK arm 1al 463K ”
4 PHOTON
tems
shape
I
4 4-
al.
UV absorpfion
of
a-As2S3
region
(dotted
spectrum,
a(E),
represented transition
FIGURE 2 Corrected absorption spectra a-As2S3 at 80K. Dashed and curves are from Ref's.7 and respectively.
curve). for
by the
matrix
of dotted 8,
interband
transition
following
element
and
the
in
equation
from
relaxed
momentum
disordered
the
sys-
assumption
of
conservation
rule',
8m4e2a a(E)
=
~
I
ncm2E where
a is
states are of
the
average
(DOVS)
and
conventional energies
simple
lattice
the
spacing.
conduction
physical are
can
be
for deduced
a(E)
from
= A(E r = rv
where, and respect
E. rc
is
depend of
defined on a-As2S3,
as the
the
following
the
distribution
NC,
and
rc
power
following
(3)
gap,
relation
rv
the
valence notations
(2)".
+ 1,
and
of Other
with
respectively,
- Eojr, + rc
density
respectively.
the
NV and eq.
optical
constituents the
When the
NC are
(DOCS),
constants.
(2)
+ E)dE',
NV and
states
hypothesized
relation
Nv(E')Nc(E'
(4) and
A is
preparation has
a proportional of
been
amorphous generally
constant. systems. accepted
rv In according
H. Hoshi
152
to
the
assumption
et al. / UV abmrprimt
of
the
square
root
shape
berwem
function
3.5 eV md 5.6 rV
for
the
both
NV and
NC;
rv
= rc
l/Z. a(E).E Several edge
authors confirmed 1.7 . The present
region
energy
region
tion
around
coefficients
and
in
(EO)
of
2.47eV
after
linear
relation
absorption
a is
Kosek at shape
at
the
relation also
films
is
at
is
energies
low
curve
that If
3.5eV. the
Fig.2
were of
3.5eV.
coincident
curve
The
a function
below
a was
we pay
our
low
averaged the optical
that
of
from
the
attention
relation
the absorp-
The
with
a deviates
following
around at
Fig.3. in
as
shape relation
a in
energies
curve
ragion,
absorption above
(oE)"'
obvious
above energy
the the
thickness of
from It
high
with
different
linear
Tauk7.
the
5 from followed
shown
with
almost
high
(5)
a coordinate
determined and
.
result
with
2.51+0.02eV
- EO)'
This
the
Fig.3
Curve
(El.
gap
2.7eV. for
illustrated
eneyy
= A(E
to seems
the ap-
propriate. a(E)*E Curve
b in
Fig.3
versus
E.
The
cal
meanings
a-As&
describes linear
of
the
the
A'
and
spectrum from
E'O
in
with
3.5eV eq.
to (6)
a coordinate
5.5eV. are
of
Although
obscure,
a(E)*E
the
curve
physi-
b provides
al 80K
1
(oE)lj2vs CUE) a-As2S3
ranges
constant
(6)
- E'O). absorption
relation
/
2
= A'(E
3 PHOTON
VS:
a
I 4 5 ENERGY (eV)
F1~"~&e E (curve at 80K.
a) b)
and for
ENERGY
(eV)
6 FIGURE 4 OOVS (NV) observed by UPS12 (solid curve), and OOVS's (NC) assumed for a-As2S3. Dashed curve is a stepwise Nc. Chain curve is a NC symmetry to the NV .
=
H. Hoshi
cl cd. / UV absorption
shape
berwem
3.5 e V and 5.6 eV
-al
80K
2 PHOTON
ENERGY
(1 . 9050 . 02)x106cm-'
and In
respectively. the
actual UPS for
a-As2S3
at
373K
The
Fig.4. the
linear
Namely,
this been
has
been
confirmed
and
r = P,
the
suggested
from fact,
most
absorption
result
is
cient,
while shown
in
circles the
with the
above
top
of
The are
valence
region
the
leading
with rv
of
solid the
line
on on
The state,
the
DOCS,
the
distribution with
the
side
right
leading
side edge
is
defined
of
of
In
this Fig.4.
of
Fig.4
as
step
fol-
latter r = 2
Since
rv
rc
= 0 is
the
DOCS,
eq.(2).
case,
to
Fig.3,
absorption
of
the
square
Fig.4.
the
is,
anof
seems in
a in
using
measured
ones. left
the
line
that
were
side
edge
energies.
reproduced
the
which
low
the
with
curve
be
is
on
films
left
although
with
eq.(4).
calculated
shown
= l/2,
of
curve
the
a dotted
at
for
E'O,
a-As2S3
of
the
absorption
could
curve
as shown
function
and
consideration
(-O.leV) for
find
shown
distribution
77K
turn,
of
A'
the
resolution at
a solid
hand,
optical
UPS as a dashed
6
necessary.
result
= 1 instead
a step
calculation. the
as
of
that
spectral
In
consideration
Fig.5.
open
for
hardly
observed
from
DOCS (NC) the
brief
we assume
shown
we can
oter
energy
spectra
obtained
function
the if
rv
the
stepwise
with
energy
On the
from
DOCS is
shown
value
suggest
a excellent 11 . Their
the
implies
assumed.
empirical
DOVS observed. to
result
long
the results
OOVS and
that
the
relation
has
In
is in
the
Harada 12 is
2 hours
remarkable
above
with
and
for
distribution
low
was
films
4 5 ENERGY (eV)
FIGURE 6 spectra of a-As2S3 at 463K (dotted curve) (solid curve).
Absorption measured and 8OK
as
the
of
by Takahashi
nealed
3.10'0.03eV case,
distribution
reported
root
any
3 PHOTON
(e'f)
FIGURE 5 absorption spectra for with stepwise NC (open and symmetric NC (closed Solid curve is the measured.
Calculated a-As2S3 circles) circles).
753
= 1
The coeffi-.
the
DOVS
(Nvl
The step is
employed
function
an extrapolated
as is
the
2.55eV energy
H. Hoshi
754
from
the
straight
spectrum with
dotted
calculated
a chain
curve
absorption
is
between
state
was
at
low
edge
of
is
also
different
DOCS's
This
seems calculated
edge
shapes
high
energies,
contribution leading
becomes does
prominent. not
following
edges,
those
relation
6.
DOCS rises decreases
becomes
as r=l,
of
present
a-As2S3
films
and
has
reported
for
clarify
a-Ge
asymmetric the
the
is
relation
sharper the
and
a-Si
reason.
by
the
probable the
leading
Spicer13 of
systems.
the
of
is and
DOVS and Further
DOVS.
than
for
DOVS and in
the for the
the to
the
is
3.5eV.
the
actual
the
both
that
the
DOVS,
and
that
the
similar
shape
the has
Jackson common
given
eq.(4)
above
from
is
DOVS
the
situation Thus,
region
by
-l.OeV
since
determining
DGCS seems
the
with
Although
to
a-Si:H
investigation
the
DOVS below
region.
conclusion
notable
regions
that
the
UPS by Takahashi edge
It
however,
the
3.5eV,
energy
from
explanation
similar
the
the
region
contributes
energy
and
edge.
the
eq.(2)
result
DOCS to
hardly
incapable
of
is
at
energies,
would
above
of
almost
6 in is
absorption
a much
top
to hand,
edge
in
edges
from
decrease
interesting
in
a possible
shape
eq.(Z) Accordingly,
other
high
symmetric give
the
in
sensitive
DOCS
the
contribution
situation
Nevertheless,
amorphous physical
such
the
distribution
various
above
analysis
following
the
the
the
This
absorption
-l.OeV,
in
gives
from
might
2.55eV
This
optical
region
Fig.4,
optical
at
rv=rc=D
DOCS.
constant
for
up
primitive
the
the
This
in
the
at
DOVS and
obscure. with
energies.
below
of
The present
This
calcurated
integral.
by a condition
tic
regions
for
stepwise
shape
contribution
above
As seen
gradually
of
the
the
high
important
overlapping
since
the
the region.
DOCS.
the
the
probable.
energy
On the
the
a sharper
more with
high
DOCS above
obtained
of
is
integral
the
to follow
that
Fig.4
rather
Fig.5.
conduction
becomes
integral
overlapping
shape
deviation
DOVS and
are
in
and
shapes
shape
DOCS at
becomes
the
the
at
the
energies
region
the
from
absorption
stepwise the
reflects
the
similar
to
of
shown
almost
overlapping
edges
low as
The absorption
directly
DOCS makes
at
OOCS,
edge
the
the
energy
the
calculated
other
shown
the
of
implies in
shapes
as
manifestation
also curve
each
energies,
shapes
the
result
absorption
case,
Fig.5
region,
chain
with
this bottom
in
energy
DOVS, optical
similar
circles
This
the
low
OOVS and
the
the
between
absorption
DOVS below
of
identical
At
the
high
In the
the
The absorption
the
calculated
and
with
at
DOVS. to
Fig.5.
closed
3.5eV.
almost
by those
of
defined
that that
are
only
the
in
the
the
The
examined.
state
below
of
symmetry
circles
DOCS than
3.5 CV and 5.6 eV
edge
valence
the
curve)
reasonable.
predominated
also
was
interesting
leading
closed
(solid
the
befawn
OOCS being
Although
energies
shape
of
The latter
absorption
It
top
above.
the the
was
with the
2.20eV.
rising
at
using
Fig.4,
plotted
evident
the
in
mentioned
observed
UV obsorprimr
line
with
separation
former
e, al. /
DOCS for an almost
results et
and
expected
al.14. characteristo
are
Absorption with almost the in
spectra
a dotted parallel low the
of details
reported
in
to
flatten
edge
the
shape temperature
following
paper,
absorption
at from
with at
high
temperatures
Fig.6
absorption
the
DOVS by
might
be
8OK
that
of
Since
discussed
by
in
is
reported
that
connection
in
changes
Takahashi 15 , the of
absorption
shown
Although
absorption
UPS measurement
the
65nm
curve). was
the
band. the
of
(solid
predominated
dependence and
thickness
that
main
in
the
film
with
IS apparent
absorption of
a-As2S3
absorption
flattening
the
the
for together
it
similar
Further
induced
of
region
the
463K
Fig.6,
region7,
whole
ma1 change
in
shift
energy
observed
at
curve
the
et
DOVS.
spectra
will
the
photo-
with
al.
ther-
be
change.
ACKNOWLEDGMENTS Authors
greatly
UPS data
and
appreciate
helpful
Dr.
T.
Takahashi
for
providing
the
unpublished
discussions.
REFERENCES 1)
K. Tanaka, in
Fundamental
Solid-State
Physics
of
Vol.
25,
Sciences,
Amorphous ed.
Semiconductors,
F. Yonezawa
Springer
Series
(Springer-Verlag,
1981)
pp.104-118. 2)
14. Hirai,
3)
H. films
4)
at
D.J.
H.R.
6)
H.
and
S.
Suzuki
and
M. Hirai,
this
volume.
8OK,
Treaty,
(academic 5)
Y. Suzuki
Eguchi,Y.
Handbook Press,
Philipp, Eguchi,
of
1985)
H.
Takeuchi,
J.
Phys.
Sot.
Photo-induced
Optical
Constants
Jpn.
53
absorption
of
Solids,
ed.
(1984)
4009.
change
in
E.D.
a-As2S3
Palik
pp.641-664.
ibid.,
pp.749-764.
Hoshi,
Y. Suzuki
and
M. Hirai,
to
be
published
in
J.
Phys.
Sot.
Jpn. 7)
F.
8)
R.E.
Kosek
(1972) 9)
10)
J.
J.
Taut,
R.L.
Czech.
Emerald,
J. M.L.
Phys.
820
Slade
(1970)
and
94.
R. Zallen,
Solid
State
Commun.
10
293.
N.F. 2nd
and
Drews,
Mott ed.
and
E.A.
(Clarendon
Taut,
Davis,
Electronic
Press,
Oxford
Amorphous
and
Liquid
Process 1979)
in
Non-crystalline
Materials,
pp.272-306.
Semiconductors
(Plenum
Press,
1974)
pp.171-178. 11)
T.
Takahashi
12)
T.
Takahashi,
13)
W.E.
Spicer,
Garmisch,
14)
W.8.
Jackson,
S.M.
(1985) 15)
T.
and
Y.
Harada,
Solid
(1974) Kelso,
Cotnnun.
35
(1980)
Allen
and
S.J.
191.
p.499.
C.C.
5187.
Takahashi,
State
unpublished.
private
communication.
Tsai,
J.W.
Oh,
Phys.
Rev.
831