Abstract
Experimental data of the ac conductivity in polymers and other disordered materials are discussed in terms of theoretical models, especially with respect to a common universal behaviour, as proposed by Summerfield. Two parameters can be extracted from such an analysis, the frequency exponents=0.69±0.04, describing the behaviour at higher frequencies, and a model dependent factorA, ranging between 10−2 and 10−5, that characterizes the crossover from frequency independent values to an ac conductivity increasing with frequency like ω5.
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References
Jonscher, A.K.: Nature267, 673 (1977)
Mott, N.F., Davies, E.A.: Electronic processes in non-crystalline materials. p. 211. Oxford: Clarendon Press 1971
Pollak, M., Geballe, T.H.: Phys. Rev.122, 1742 (1961)
For a compilation see, e.g.: Wong, J., Angell, C.A.: Glass, structure by spectroscopy. New York: Marcel Dekker 1976
Kivelson, S.: Phys. Rev. B25, 3798 (1982)
Movaghar, B., Pohlmann, B., Schirmacher, W.: Philos. Mag. B41, 49 (1980)
Movaghar, B., Pohlmann, B., Sauer, G.W.: Phys. Status Solidi B97, 533 (1980)
Movaghar, B., Grünewald, M., Pohlmann, B., Würtz, D., Schirmacher, W.: J. Stat. Phys.30, 315 (1983)
Grünewald, M., Pohlmann, B., Würtz, D., Movaghar, B.: J. Phys. C16, 3739 (1983)
Movaghar, B., Pohlmann, B., Würtz, D.: J. Phys. C16, 3755 (1983)
Summerfield, S., Butcher, P.N.: J. Phys. C15, 7003 (1982) and ibid. C16, 295 (1983)
Macdonald, J.R.: J. Appl. Phys.58, 1955 and 1971 (1985)
Dyre, J.C.: Phys. Lett.108A, 457 (1985)
Scher, H., Lax, M.: Phys. Rev. B7, 4491 and 4502 (1973)
Lax, M., Odagaki, T.: Macroscopic properties of disordered media. In: Lecture Notes in Physics. Vol. 154, p. 149. Berlin, Heidelberg, New York: Springer 1982
Schirmacher, W.: Solid State Commun.39, 893 (1981)
Summerfield, S.: Philos. Mag. B52, 9 (1985)
Ambegaokar, V., Halperin, B.I., Langer, J.S.: Phys. Rev. B4, 2612 (1971)
Gefen, Y., Aharony, A., Alexander, S.: Phys. Rev. Lett.50, 77 (1983)
Laibowitzi, R.B., Gefen, Y.: Phys. Rev. Lett.53, 383 (1984)
Liu, S.H.: Phys. Rev. Lett.55, 529 (1985)
Kiess, H., Rehwald, W.: Colloid Polymer Sci.258, 241 (1980)
To be published separately
This material was synthesized by W. Meyer
Samples were obtained from Prof. M. Hanack's group at the University Tübingen
Scher, H., Montroll, E.W.: Phys. Rev. B12, 2455 (1975)
Wannier, G.H.: Statistical physics. p. 486. New York: Wiley 1966
Legros, F., Fourrier-Lamer, A.: Mater. Res. Bull.19, 1109 (1984)
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Dedicated to Professor Harry Thomas on the occasion of his 60th birthday
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Rehwald, W., Kiess, H. & Binggeli, B. Frequency dependent conductivity in polymers and other disordered materials. Z. Physik B - Condensed Matter 68, 143–148 (1987). https://doi.org/10.1007/BF01304219
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DOI: https://doi.org/10.1007/BF01304219