Nb- or Ta-doped anatase TiO2 was shown to be a viable candidate for replacing indium-tin-oxide as a transparent conductive oxide. Calculating the electronic structures we find that Ta has the considerably higher solubility and lower optical effective mass of the two dopants. Our calculations also show that a reducing atmosphere is necessary for efficient dopant incorporation, and oxygen vacancies do not necessarily play a role in their activation.

1.
Y.
Furubayashi
,
T.
Hitosugi
,
Y.
Yamamoto
,
K.
Inaba
,
G.
Kinoda
,
Y.
Hirose
,
T.
Shimada
, and
T.
Hasegawa
,
Appl. Phys. Lett.
86
,
252101
(
2005
).
2.
T.
Hitosugi
,
N.
Yamada
,
S.
Nakao
,
Y.
Hirose
, and
T.
Hasegawa
,
Phys. Status Solidi A
207
,
1529
(
2010
).
3.
T.
Hitosugi
,
Y.
Furubayashi
,
A.
Ueda
,
K.
Itabashi
,
K.
Inaba
,
Y.
Hirose
,
G.
Kinoda
,
Y.
Yamamoto
,
T.
Shimada
, and
T.
Hasegawa
,
Jpn. J. Appl. Phys.
, Part 2
44
,
L1063
(
2005
).
4.
M. A.
Gillispie
,
M. F. A. M.
van Hest
,
M. S.
Dabney
,
J. D.
Perkins
, and
D. S.
Ginley
,
J. Appl. Phys.
101
,
033125
(
2007
).
5.
T.
Hitosugi
,
A.
Ueda
,
S.
Nakao
,
N.
Yamada
,
Y.
Furubayashi
,
Y.
Hirose
,
T.
Shimada
, and
T.
Hasegawa
,
Appl. Phys. Lett.
90
,
212106
(
2007
).
6.
T.
Hitosugi
,
N.
Yamada
,
N. L. H.
Hoang
,
J.
Kasai
,
S.
Nakao
,
T.
Shimada
, and
T.
Hasegawa
,
Thin Solid Films
516
,
5754
(
2008
).
7.
A. R.
Barman
,
M.
Motapothula
,
A.
Annadi
,
K.
Gopinadhan
,
Y. L.
Zhao
,
Z.
Yong
,
I.
Santoso
,
A. M.
Breese
,
A.
Rusydi
,
S.
Dhar
, and
T.
Venkatesan
,
Appl. Phys. Lett.
98
,
072111
(
2011
).
8.
H.
Kamisaka
,
T.
Hitosugi
,
T.
Suenaga
,
T.
Hasegawa
, and
K.
Yamashita
,
J. Chem. Phys.
131
,
034702
(
2009
).
9.
P. P.
Edwards
,
A.
Porch
,
M. O.
Jones
,
D. V.
Morgan
, and
R. M.
Perks
,
Dalton Trans.
2004
,
2995
.
10.
H. A.
Huy
,
B.
Aradi
,
T.
Frauenheim
, and
P.
Deák
,
Phys. Rev. B
83
,
155201
(
2011
).
11.
Y.
Furabayashi
,
N.
Yamada
,
Y.
Hirose
,
Y.
Yamamoto
,
M.
Otani
,
T.
Hitosugi
,
T.
Shimada
, and
T.
Hasegawa
,
J. Appl. Phys.
101
,
093705
(
2007
).
12.
Y.
Hirose
,
N.
Yamada
,
S.
Nakao
,
T.
Hitosugi
,
T.
Shimada
, and
T.
Hasegawa
,
Phys. Rev. B
79
,
165108
(
2009
).
13.
J.
Osorio-Guillén
,
S.
Lany
, and
A.
Zunger
,
Phys. Rev. Lett.
100
,
036601
(
2008
).
14.
X. D.
Liu
,
E. Y.
Jiang
,
Z. Q.
Li
, and
Q. G.
Song
,
Appl. Phys. Lett.
92
,
252104
(
2008
).
15.
T.
Hitosugi
,
H.
Kamisaka
,
K.
Yamashita
,
H.
Nogawa
,
Y.
Furubayashi
,
S.
Nakao
,
N.
Yamada
,
A.
Chikamatsu
,
H.
Kumigashira
,
M.
Oshima
,
Y.
Hirose
,
T.
Shimada
, and
T.
Hasegawa
,
Appl. Phys. Express
1
,
111203
(
2008
).
16.
C.
Di Valentin
,
G.
Pacchioni
, and
A.
Selloni
,
J. Phys. Chem. C
113
,
020543
(
2009
).
17.
B. J.
Morgan
,
D. O.
Scanlon
, and
G. W.
Watson
,
J. Mater. Chem.
19
,
5175
(
2009
).
18.
N.
Orita
,
Jpn. J. Appl. Phys.
, Part 1
49
,
055801
(
2010
).
19.
J.
Heyd
,
G. E.
Scuseria
, and
M.
Ernzerhof
,
J. Chem. Phys.
118
,
8207
(
2003
);
J.
Heyd
,
G. E.
Scuseria
, and
M.
Ernzerhof
,
J. Chem. Phys.
124
,
219906
(
2006
);
A. V.
Krukau
,
O. A.
Vydrov
,
A. F.
Izmaylov
, and
G. E.
Scuseria
,
J. Chem. Phys.
125
,
224106
(
2006
).
[PubMed]
20.
P.
Deák
,
B.
Aradi
, and
T.
Frauenheim
,
Phys. Rev. B
83
,
155207
(
2011
).
21.
T.
Yamamoto
and
T.
Ohno
,
Phys. Rev. B
85
,
033104
(
2012
).
22.
G.
Kresse
and
J.
Hafner
,
Phys. Rev. B
49
,
14251
(
1994
);
G.
Kresse
and
J.
Furthmüller
,
Phys. Rev. B
54
,
11169
(
1996
);
G.
Kresse
and
D.
Joubert
,
Phys. Rev. B
59
,
1758
(
1999
).
23.
J. P.
Perdew
,
K.
Burker
, and
M
Ernzerhof
,
Phys. Rev. Lett
,
77
,
3865
(
1996
).
24.
F.
Fuchs
,
J.
Furthmüller
,
F.
Bechstedt
,
M.
Shishkin
, and
G.
Kresse
,
Phys. Rev. B
76
,
115109
(
2007
).
25.

The error in the calculated heats of formation can vary just as well as that of the gap between various wide band gap oxides. HSE06 happens to reproduce both very accurately in TiO2.20 The heat of formation for anatase was calculated to be −9.68 eV, within ∼1% of the experimental value, −9.78 eV. Since the error is considerably bigger in the pentoxides, we use the experimental heat of formation for those.

26.

We note that the heat of formation for Nb2O5 is lower than for Ta2O5 by 1.5 eV. Therefore, the lower formation energy of TaTi stems from the interaction with the TiO2 environment.

27.
P.
Deák
,
B.
Aradi
, and
T.
Frauenheim
, “
The theory of the oxygen vacancy in TiO2
,” in preparation.
28.
S.
Zhang
,
S. B.
Ogale
,
W.
Yu
,
X.
Gao
,
T.
Liu
,
S.
Ghosh
,
G. P.
Das
,
A. T. S.
Wee
,
R. L.
Greene
, and
T.
Venkatesan
,
Adv. Mater.
21
,
2282
(
2009
).
29.
B. J.
Morgan
and
G. W.
Watson
,
Phys. Rev. B
80
,
233102
(
2009
).
30.
H.
Kamisaka
and
K.
Yamashita
,
J. Phys. Chem. C
115
,
8265
(
2011
).
31.
J.
Sólyom
,
Fundamentals of the Physics of Solids
(
Springer
,
Berlin
2010
), Vol. 2, p.
379
.
32.
Due to the finite number of calculated data points, the number of polynomials with increasing exponent must be kept low.
33.
Note that in our previous work, using the volume integral, the second derivative of the |kz| term did not contribute to the effective mass. Therefore, the values presented here for the parallel mass in case of Nb are slightly different.
You do not currently have access to this content.