Skip to main content
Log in

Carrier drift and trapping in one dimensional systems

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

There exist novel classes of materials ranging from conjugated polymers and anisotropic salts to Langmuir-Blodgett films which under certain experimental conditions exhibit one-dimensional excitation dynamics. In this paper we consider the Master equation approach to diffusion drift and trapping in such ‘quasi one-dimensional systems’. Using exact, scaling, and coherent potential approaches we consider a series of phenomena appropriate to the description of such systems. These include the following category of problems:1. the deep trapping problem (exact),2. the bond disorder problem (scaling and coherent medium),3. and finally the combination of1. with2. The relationship to present and planned experiments is discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Movaghar, B., Sauer, G.W., Würtz, D., Huber, D.L.: Solid State Commun.39, 1179 (1981)

    Google Scholar 

  2. Movaghar, B., Sauer, G.W., Würtz, D.: J. Stat. Phys.27, 473 (1982)

    Google Scholar 

  3. Movaghar, B., Murray, D.W., Pohlmann, B., Würtz, D.: J. Phys. C17, 1677 (1984)

    Google Scholar 

  4. Movaghar, B., Pohlmann, B., Würtz, D.: Phys. Rev. A29, 1568 (1984)

    Google Scholar 

  5. Movaghar, B., Pohlmann, B., Würtz, D.: Phys. Rev. A31, 3526 (1985)

    Google Scholar 

  6. Lauchlan, L., Etemad, S., Chung, T., Heeger, H., McDiarmid, A.: Phys. Rev. B.24, 3701 (1981)

    Google Scholar 

  7. Bloor, D., Hubble, C.L., Ando, D.J.: In: Molecular Metals. Hatfield, W.E. (ed.). New York: Plenum Press 1979

    Google Scholar 

  8. Donovan, K.J., Wilson, E.G.: Philos. Mag. B44, 9 (1981)

    Google Scholar 

  9. Hunt, I., Bloor, D., Movaghar, B.: J. Phys. C16, L623 (1983)

    Google Scholar 

  10. Seiferheld, U., Bässler, H., Movaghar, B.: Phys. Rev. Lett.51, 813 (1983)

    Google Scholar 

  11. Cade, NA, Movaghar, B.: J. Phys. C.16, 539 (1983)

    Google Scholar 

  12. Su, W., Schrieffer, J., Heeger, A.: Phys. Rev. B22, 2019 (1980)

    Google Scholar 

  13. Wilson, E.G.: (Private communication)

  14. Girling, I., Peterson, I.R.: Sci. Prog. London69, 533 (1985)

    Google Scholar 

  15. Auerbach, R., McPherson, G.: Phys. Rev. B33, 6815 (1986)

    Google Scholar 

  16. Rughooputh, S.: Ph.D. Thesis, University of London, Queen Mary College, 1985; (to be published)

  17. Ya Balagurov, B., Vaks, V.G.: Sov. Phys. JETP39, 968 (1974)

    Google Scholar 

  18. Donsker, M.D., Varadhan, S.R.S.: Pure Appl. Math.28, 525 (1975);32, 721 (1979)

    Google Scholar 

  19. Grassberger, P., Procaccia, J.: J. Chem. Phys.77, 6281 (1982

    Google Scholar 

  20. Kayser, R.F., Hubbard, J.B.: Phys. Rev. Lett.51, 79 (1983)

    Google Scholar 

  21. Redner, S., Kang, K.: Phys. Rev. Lett.51, 1729 (1983);52, 401(E) (1984)

    Google Scholar 

  22. Anlauf, J.: Phys. Rev. Lett.52, 1845 (1984)

    Google Scholar 

  23. Fixman, F.: Phys. Rev. Lett.52, 791 (1984)

    Google Scholar 

  24. Delyon, F., Souillard, B.: Phys. Rev. Lett.51, 1720 (1983)

    Google Scholar 

  25. Lubensky, T.C.: Phys. Rev. A30, 2657 (1984)

    Google Scholar 

  26. Agmon, N.: J. Chem. Phys.82, 935 (1985); (to be published)

    Google Scholar 

  27. Alexander, S., Bernasconi, J., Schneider, W., Orbach, R.: Rev. Mod. Phys.53, 175 (1981)

    Google Scholar 

  28. Shank, C., Yen, R., Fork, R., Orenstein, J., Baker, G.: Phys. Rev. Lett.49, 1660 (1980)

    Google Scholar 

  29. Wilson, E.G.: J. Phys. C16, 6739 (1983)

    Google Scholar 

  30. Bässler, H., Seiferheld, U.: Private Communication

  31. Alexander, S., Bernasconi, J., Schneider, J., Orbach, R.: Physics in one dimension. Vol. 23. Springer Series in Solid-State Sciences. Berlin Heidelberg New York: Springer 1981b

    Google Scholar 

  32. Rackovsky, S., Scher, H.: Phys. Rev. Lett.52, 453 (1984)

    Google Scholar 

  33. Bässler, H.: (to be published)

  34. Odagaki, T., Lax, M.: Phys. Rev. Lett.45, 847 (1980)

    Google Scholar 

  35. Kirkpatrick, S.: Rev. Mod. Phys.45, 574 (1973)

    Google Scholar 

  36. Movaghar, B., Pohlmann, B., Würtz, D.: Proc. Nato Advanced Science Series on ‘Polydiacetylene’. Bloor, D., Chance, R. (eds.), p. 177. Martinus Nijhoff Publishers 1985

  37. Haberkorn, R., Michel-Beyerle, M.E.: Chem. Phys. Lett.23, 128 (1973)

    Google Scholar 

  38. Movaghar, B., Murray, D.W., Donovan, K.J., Wilson, E.G.: J. Phys. C.17, 1247 (1984)

    Google Scholar 

  39. Rammal, R., Toulouse, G.: J. Phys. (Paris) Lett.44, L13 (1983)

    Google Scholar 

  40. Böttger, H., Bryksin, V.: Phys. Status Solidi B78, 9 (1976);78, 415 (1976)

    Google Scholar 

  41. Böttger, H., Wegener, D.: Philos. Mag. B50, 409 (1984)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Movaghar, B., Würtz, D. & Pohlmann, B. Carrier drift and trapping in one dimensional systems. Z. Physik B - Condensed Matter 66, 523–535 (1987). https://doi.org/10.1007/BF01303902

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01303902

Keywords

Navigation