Hopping conductivity of a nearly 1D fractal: A model for conducting polymers

Physical Review B - Condensed Matter and Materials Physics

Volumn 58, Issue 17, 1998, Pages 11354-11370

  Samukhin, A ^a   Prigodin, V ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001682073     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.58.11354     Document Type: Article

References (43)

1. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).
2. Fractals in Physics, Essays in Honour of B. B. Mandelbrot, edited by J. Feder and A. Aharony (North Holland, Amsterdam, 1990).
3. K. Kirkpatrick, Phys. Rev. B 15, 1533 (1977).
4. Fractals and Disordered Systems, edited by A. Bunde and S. Havlin (Springer Verlag, Heidelberg, 1991).
5. S. Havlin and D. Ben-Avraham, Adv. Phys. 36, 695 (1987).
6. T. Nakayama, K. Yakubo, and R. L. Orbach, Rev. Mod. Phys. 66, 381 (1994).
7. A. N. Samukhin, V. N. Prigodin, and L. Jastrabík, Phys. Rev. Lett. 78, 326 (1997).
8. J. Tsukamoto, Adv. Phys. 41, 509 (1992).
9. X. H. Wang, H. H. S. Javadi, A. Ray, A. G. MacDiarmid, and A. J. Epstein, Phys. Rev. B 42, 5411 (1990).
10. J. Joo, Z. Oblakowski, G. Du, J. P. Pouget, E. J. Oh, J. M. Wiesinger, Y. Min, A. G. MacDiarmid, and A. J. Epstein, Phys. Rev. B 49, 2977 (1994).
11. A. J. Heeger, S. Kivelson, J. R. Schriffer, and W. P. Su, Rev. Mod. Phys. 60, 781 (1988).
12. E. P. Nakhmedov, V. N. Prigodin, and A. N. Samukhin, Fiz. Tverd. Tela (Leningrad) 31, 31 (1989) [Sov. Phys. Solid State 31, 368 (1989)].
13. N. F. Mott and E. Davis, Electronic Processes in Non-Crystalline Materials (Clarendon, Oxford, 1979).
14. J. Kurkijärvi, Phys. Rev. B 8, 922 (1973).
15. V. K. S. Shante, Phys. Rev. B 16, 2597 (1977).
16. H. Böttger and V. V. Bryksin, Hopping Conduction in Solids (Akademie-Verlag, Berlin, 1985).
17. K. Araya, T. Micoh, T. Narahara, K. Akagi, and H. Shirakawa, Synth. Met. 17, 247 (1987).
18. B. Shapiro, Phys. Rev. Lett. 48, 823 (1982).
19. A. Cohen, Y. Roth, and B. Shapiro, Phys. Rev. B 38, 12 125 (1988).
20. J. Joo, V. N. Prigodin, Y. G. Min, A. G. MacDiarmid, and A. J. Epstein, Phys. Rev. B 50, 12 226 (1994).
21. H. Böttger, V. V. Bryksin, and G. Yu. Yashin, J. Phys. C 12, 3951 (1979).
22. I. P. Zvyagin, Phys. Status Solidi B 97, 143 (1980).
23. C. M. Fortuin and P. W. Kastelein, Physica (Amsterdam) 57, 536 (1972).
24. A. A. Migdal, Sov. Phys. JETP 42, 413 (1976).
25. Sov. Phys. JETPA. A. Migdal42, 743 (1976).
26. L. P. Kadanoff and A. Houghton, Phys. Rev. B 11, 377 (1975).
27. L. P. Kadanoff, Ann. Phys. (N.Y.) 100, 359 (1976).
28. C. Tsallis and A. C. N. de Magalhães, Phys. Rep. 268, 305 (1996).
29. G. G. Batrouni, A. Hansen, and B. Larson, Phys. Rev. E 53, 2292 (1996).
30. M. B. Isichenko, Rev. Mod. Phys. 64, 961 (1992).
31. D. Stauffer and A. Aharony, Introduction to Percolation Theory (Taylor and Francis, London, 1994).
32. C. F. Moukarzel and P. M. Duxbury, Phys. Rev. Lett. 75, 4055 (1995).
33. C. F. Moukarzel, P. M. Duxbury, and P. L. Leath, Phys. Rev. E 55, 5800 (1997).
34. S. Zapperi, P. Ray, H. E. Stanley, and A. Vespagniani, in Fracture—Instability Dynamics, Scaling, and Ductile/Brittle Behavior, edited by R. L. Blumberg Selinger, J. J. Mecholsky, A. E. Carlsson, and E. R. Fuller, Jr., MRS Symposia Proceedings No. 409 (Materials Research Society, Pittsburgh, 1996), p. 355.
35. J. Watson and D. S. Fisher, Phys. Rev. B 55, 14 909 (1997).
36. P. Grassberger, J. Stat. Phys. 79, 13 (1995).
37. S. Maslov and Y.-C. Zhang, Physica A 223, 1 (1996).
38. D. Hamburger, O. Biham, and D. Avnir, Phys. Rev. E 53, 3342 (1996).
39. H. Bateman and A. Erdélyi, Higher Transcendental Functions (McGraw Hill, New York, 1953).
40. J.-M. Normand and H.J. Herrmann, Int. J. Mod. Phys. C6, 813 (1995).
41. W. Schirmacher, J. Phys. A 27, L727 (1994).
42. C. Castellani and L. Peliti, J. Phys. A 19, L429 (1986).
43. J. Joo, S. M. Long, J. P. Pouget, E. J. Oh, A. G. MacDiarmid, and A. J. Epstein, Phys. Rev. B 57, 9567 (1998).