Current–voltage j(V) characteristics of barium titanate based positive temperature coefficient of resistivity thermistors were analyzed in terms of space charge limited current, trap-filled limited current, Frenkel–Poole, double-Schottky barrier, and small radii polaron models. It is shown that for the double-Schottky barrier model, the j(V) dependence does not obey the relation j∝exp (eV/2kT) at temperatures near or above the resistivity maximum. Instead, the j(V) characteristics show significant dependence on the interface charge. With increasing temperature, the region of nonlinear j(V) dependence is expected to shift towards higher voltages due to an increase in the equilibrium concentration of unoccupied interface states.

1.
B. M.
Kulwicki
,
Adv. Ceram.
1
,
138
(
1981
).
2.
B.
Huybrechts
,
K.
Ishizaki
, and
M.
Takata
,
J. Mater. Sci.
30
,
2463
(
1995
).
3.
W.
Heywang
,
J. Am. Ceram. Soc.
47
,
484
(
1964
).
4.
B.
Hoffmann
,
J. Appl. Phys.
50
,
1156
(
1979
).
5.
G. T.
Mallick
, Jr.
and
P. R.
Emtage
,
J. Appl. Phys.
39
,
3088
(
1968
).
6.
B. M.
Kulwicki
and
A. J.
Purdes
,
Ferroelectrics
1
,
253
(
1970
).
7.
J. B.
MacChesney
and
J. F.
Potter
,
J. Am. Ceram. Soc.
48
,
81
(
1965
).
8.
H.
Nemoto
and
I.
Oda
,
J. Am. Ceram. Soc.
63
,
398
(
1980
).
9.
V. V.
Kvaskov
and
K. H.
Valeev
,
Izv. Akad. Nauk SSSR, Ser. Fiz.
39
,
1327
(
1975
).
10.
M.
Kuwabara
,
K.
Morimo
, and
T.
Matsunaga
,
J. Am. Ceram. Soc.
79
,
997
(
1996
).
11.
T.
Matsuoka
,
Y.
Matsuo
,
H.
Sasaki
, and
S.
Hayakawa
,
J. Am. Ceram. Soc.
55
,
108
(
1972
).
12.
M. A. Lampert and P. Mark, Current Injection in Solids (Academic, New York, 1970), p. 16.
13.
G. H.
Jonker
,
Adv. Ceram.
1
,
155
(
1981
).
14.
M. A. Lampert and P. Mark, in Ref. 12, p. 21.
15.
P.
Gerthsen
and
B.
Hoffmann
,
Solid-State Electron.
16
,
617
(
1973
).
16.
J.
Frenkel
,
Phys. Rev.
54
,
647
(
1938
).
17.
D. I. Aladashvili et al., in Hopping and Related Phenomena, edited by H. Fritzsche and M. Pollak (World Scientific, Singapore, 1990), p. 283.
18.
J. L.
Hartke
,
J. Appl. Phys.
39
,
4871
(
1968
).
19.
E. V.
Bursian
,
Ya. G.
Girshberg
, and
E. N.
Starov
,
Phys. Status Solidi B
46
,
529
(
1971
).
20.
C. N.
Berglund
and
W. S.
Bayer
,
Phys. Rev.
157
,
358
(
1967
).
21.
I. G.
Austin
and
N. F.
Mott
,
Adv. Phys.
18
,
41
(
1969
).
22.
E.
Iguchi
,
N.
Kubota
,
T.
Nakamori
,
N.
Yamamoto
, and
K.
Lee
,
Phys. Rev. B
43
,
8646
(
1991
).
23.
C.
Gillot
,
J.
Michenaud
,
M.
Maglione
, and
B.
Jannot
,
Solid State Commun.
84
,
1033
(
1992
).
24.
H. Böttger and V. Bryksin, Hopping Conduction in Solids (Academie, Berlin, 1985), p. 70.
25.
A. L.
Efros
,
Sov. Phys. Solid State
9
,
901
(
1967
).
26.
C.-J.
Kim
and
K.
No
,
J. Mater. Sci.
28
,
5765
(
1993
).
27.
G.
Blatter
and
F.
Greuter
,
Phys. Rev. B
33
,
3952
(
1986
).
28.
A. Broniatowski, in Polycrystalline Semiconductors, edited by G. Harbeke (Springer, Berlin 1985), Vol. 57 p. 95.
29.
R. Einzinger, in Ref. 28, p. 228.
30.
H.
Ihrig
and
W.
Puschert
,
J. Appl. Phys.
48
,
3081
(
1977
).
31.
K.
Hayashi
,
T.
Yamamoto
, and
T.
Sakuma
,
J. Am. Ceram. Soc.
79
,
1669
(
1996
).
This content is only available via PDF.
You do not currently have access to this content.