Current localization in nonlinear inhomogeneous media

Journal of Physics Condensed Matter

Volumn 8, Issue 33, 1996, Pages

  Vojta, Agnes ^a   Vojta, Thomas ^b,c  

^a University of California   (United States)

^b UNIVERSITY OF OREGON   (United States)

^c CHEMNITZ UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5644250717     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/8/33/004     Document Type: Article

References (30)

1. See e.g. the articles in 1989 2nd Proc. Int. Conf. on Electrical Transport and Optical Properties of Inhomogeneous Media; Physica A 157 No 1
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4. Experimental observations are reported by Hohenberger G, Tomandl G, Ebert R and Taube R 1991 J. Am. Ceram. Soc. 74 2067
5. For evidence in simulations see: Bartkowiak M and Mahan G D 1995 Phys. Rev. B 51 10825
6. Vojta A, Wen Q and Clarke DR 1996 Comp. Mater. Sci. at press
7. For a review, see e.g. Greuter F and Blatter G 1990 Semicond. Sci. Technol. 5 111
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11. Eda K 1984 J. Appl. Phys. 56 2948 Vojta A and Clarke D R 1996 J. Appl. Phys. submitted
12. Eda K 1984 J. Appl. Phys. 56 2948 Vojta A and Clarke D R 1996 J. Appl. Phys. submitted
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14. See e.g. Shklovskii B I and Efros A L 1984 Electronic Properties of Doped Semiconductors (Berlin: Springer) and references from chapter 5 therein.
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16. Duxbury P M, Leath P L and Beale P D 1987 Phys. Rev. B 36 367 Kahng B, Batrouni G G, Redner S, de Arcangelis L and Herrmann H J 1988 Phys. Rev. B 37 7625 Duxbury P M, Beale P D and Moukarzel C 1995 Phys. Rev. B 51 3476
17. Duxbury P M, Leath P L and Beale P D 1987 Phys. Rev. B 36 367 Kahng B, Batrouni G G, Redner S, de Arcangelis L and Herrmann H J 1988 Phys. Rev. B 37 7625 Duxbury P M, Beale P D and Moukarzel C 1995 Phys. Rev. B 51 3476
18. See e.g. de Arcangelis L, Redner S and Coniglio A 1985 Phys. Rev. B 31 4725 Duering E and Bergman D J 1990 J. Stat. Phys. 60 363 Duxbury P M, Guyer R A and Machta J 1995 Phys. Rev. B 51 6711
19. See e.g. de Arcangelis L, Redner S and Coniglio A 1985 Phys. Rev. B 31 4725 Duering E and Bergman D J 1990 J. Stat. Phys. 60 363 Duxbury P M, Guyer R A and Machta J 1995 Phys. Rev. B 51 6711
20. See e.g. de Arcangelis L, Redner S and Coniglio A 1985 Phys. Rev. B 31 4725 Duering E and Bergman D J 1990 J. Stat. Phys. 60 363 Duxbury P M, Guyer R A and Machta J 1995 Phys. Rev. B 51 6711
21. Kenkel S and Straley J P 1983 Phys. Rev. Lett. 49 767
22. Brooks Harris A 1987 Phys. Rev. B 35 5056 Levy O and Bergman D J 1993 J. Phys.: Condens. Matter 38 7095 Blumenfeld R and Aharony A 1985 J. Phys. A: Math. Gen. 18 L443 de Arcangelis L, Coniglio A and Redner S 1985 J. Phys. A: Math. Gen. 18 L805
23. Brooks Harris A 1987 Phys. Rev. B 35 5056 Levy O and Bergman D J 1993 J. Phys.: Condens. Matter 38 7095 Blumenfeld R and Aharony A 1985 J. Phys. A: Math. Gen. 18 L443 de Arcangelis L, Coniglio A and Redner S 1985 J. Phys. A: Math. Gen. 18 L805
24. Brooks Harris A 1987 Phys. Rev. B 35 5056 Levy O and Bergman D J 1993 J. Phys.: Condens. Matter 38 7095 Blumenfeld R and Aharony A 1985 J. Phys. A: Math. Gen. 18 L443 de Arcangelis L, Coniglio A and Redner S 1985 J. Phys. A: Math. Gen. 18 L805
25. Brooks Harris A 1987 Phys. Rev. B 35 5056 Levy O and Bergman D J 1993 J. Phys.: Condens. Matter 38 7095 Blumenfeld R and Aharony A 1985 J. Phys. A: Math. Gen. 18 L443 de Arcangelis L, Coniglio A and Redner S 1985 J. Phys. A: Math. Gen. 18 L805
26. Different fluctuations of the nonlinearity exponent occur in real systems. For instance, α lies between 0 and 80 for single grain boundary junctions in ZnO varistors. Although the numerical values of the quantities discussed here will differ from system to system, the general phenomenon of current localization does not depend on the specific distribution of α and is well illustrated by our simple example.
27. This low-voltage behaviour cannot be observed in experiments because each grain boundary contains a small but finite ohmic part which dominates at low voltages.
28. See e.g. Kramer B and MacKinnon A 1993 Rep. Prog. Phys. 56 1469
29. Vojta A and Vojta Th to be published
30. Stauffer D 1985 Introduction to Percolation Theory (London: Taylor and Francis)