Conduction mechanism in ionic glasses is still considered one of the great challenges in physics and chemistry of glasses [A. Bunde, K. Funke, and M. Ingram, Solid State Ionics 105, 1 (1998)]. We show that consequent application of the routine percolation theory leads to the consistent description of most puzzling conduction effects for both direct current (dc) and alternating current (ac) conductivity. Moreover, comparison of the theoretical results with experimental data reveals the well-known random-energy model suggested a few decades ago for ionic transport in glasses as a very plausible model. The results provide a general basis for the study of transport phenomena in ionic glasses.

1.
A.
Bunde
,
K.
Funke
, and
M. D.
Ingram
,
Solid State Ionics
105
,
1
(
1998
).
2.
G.
Gehlhoff
and
M.
Thomas
,
Z. Tech. Phys.
6
,
544
(
1925
).
3.
O. V.
Mazurin
and
E. S.
Borisovskii
,
Sov. Phys. Tech. Phys.
2
,
243
(
1957
).
4.
C. C.
Hunter
and
M. D.
Ingram
,
Solid State Ionics
14
,
31
(
1984
);
M. D.
Ingram
,
Phys. Chem. Glasses
28
,
215
(
1987
).
5.
A.
Bunde
,
M. D.
Ingram
, and
P.
Maass
,
J. Non-Cryst. Solids
172–174
,
1222
(
1994
).
6.
M. D.
Ingram
,
Philos. Mag. B
60
,
729
(
1989
).
7.
K.
Funke
,
Prog. Solid State Chem.
22
,
111
(
1995
).
8.
G. N.
Greaves
and
K. L.
Ngai
,
Phys. Rev. B
52
,
6358
(
1995
).
9.
H. M.
Garfinkel
and
C. B.
King
,
J. Am. Ceram. Soc.
53
,
686
(
1970
).
10.
F.
Borsa
,
D. R.
Torgeson
,
S. W.
Martin
, and
H. K.
Patel
,
Phys. Rev. B
46
,
795
(
1992
).
11.
I.
Svare
,
F.
Borsa
,
D. R.
Torgeson
, and
S. W.
Martin
,
Phys. Rev. B
48
,
9336
(
1993
).
12.
S.
Sen
,
A. M.
George
, and
J. F.
Stebbins
,
J. Non-Cryst. Solids
197
,
53
(
1996
).
13.
J. M. Stevels, in Handbuch der Physik Band edited by S. Flügge (Springer-Verlag, Berlin, 1957), Vol. 20.
14.
K.
Funke
,
Solid State Ionics
94
,
27
(
1997
).
15.
K.
Funke
,
Defect Diffus. Forum
143–147
,
1243
(
1997
).
16.
B.
Roling
,
A.
Happe
,
K.
Funke
, and
M. D.
Ingram
,
Phys. Rev. Lett.
78
,
2160
(
1997
).
17.
J. C.
Dyre
,
J. Appl. Phys.
64
,
2456
(
1988
).
18.
J. T.
Markert
,
E. J.
Cotts
, and
R. M.
Cotts
,
Phys. Rev. B
37
,
6446
(
1988
).
19.
B. I. Shklovskii and A. L. Efros, Electronic Properties of Doped Semiconductors (Springer, Heidelberg 1984), p. 92.
20.
J. C.
Dyre
,
J. Non-Cryst. Solids
135
,
219
(
1991
).
21.
J. C.
Dyre
,
Phys. Rev. B
48
,
12511
(
1993
).
22.
J. C.
Dyre
,
Phys. Rev. B
49
,
11709
(
1994
).
23.
I. P.
Zvyagin
,
Phys. Status Solidi B
97
,
143
(
1980
).
24.
I. P. Zvyagin, Kinetic Phenomena in Disordered Semiconductors (Moscow University, 1984, in Russian).
25.
H. E.
Taylor
,
J. Soc. Glass Technol.
41
,
350T
(
1957
);
H. E.
Taylor
,
J. Soc. Glass Technol.
43
,
124T
(
1959
).
26.
A. E. Owen, in Progress in Ceramic Science, edited by J. E. Burke (Macmillan, New York, 1963), Vol. 3, p. 77.
27.
J. O.
Isard
,
Proc. Inst. Electr. Eng. 109B, Suppl. No.
22
,
440
(
1962
).
28.
A. R. Long, in Hopping Transport in Solids, edited by M. Pollak and B. I. Shklovskii (North-Holland, Amsterdam, 1991), p. 207.
29.
M.
Pollak
and
T. H.
Geballe
,
Phys. Rev.
122
,
1742
(
1961
).
30.
B.
Movaghar
and
W.
Schirmacher
,
J. Phys. C
14
,
859
(
1981
).
31.
S.
Summerfield
and
P. N.
Butcher
,
J. Phys. C
15
,
7003
(
1982
);
S.
Summerfield
and
P. N.
Butcher
,
J. Phys. C
16
,
295
(
1983
).
32.
S. D.
Baranovskii
,
T.
Faber
,
F.
Hensel
, and
P.
Thomas
,
J. Non-Cryst. Solids
198–200
,
222
(
1996
).
33.
H.
Böttger
,
V. V.
Bryksin
, and
G.
Yu. Yashin
,
J. Phys. C
12
,
3951
(
1979
).
34.
R.
Odagaki
and
M.
Lax
,
Phys. Rev. B
26
,
6480
(
1982
).
35.
J. O.
Isard
,
J. Phys. C
1
,
235
(
1969
).
36.
P.
Maass
,
A.
Bunde
, and
M. D.
Ingram
,
Phys. Rev. Lett.
68
,
3064
(
1992
).
This content is only available via PDF.
You do not currently have access to this content.