Abstract
A schematic model for the dynamics of a particle moving in a random environment is discussed where the latter is assumed to cause normal scattering and also scattering with time inversion symmetry breaking. The second mechanism changes the exponent unity to one half for the vanishing of the conductivity near the percolation threshold. It alters also the exponent of the critical conductivity spectrum from 1/2 to 1/3. The dynamics near the transition including all cross over phenomena to the usual effective medium theory results are described by a two parameter scaling law.
Similar content being viewed by others
References
Sjögren, L.: Phys. Scr. (to be published)
Odagaki, T., Lax, M.: Phys. Rev.B 24, 5284 (1981)
Götze, W., Leutheusser, E., Yip, S.: Phys. Rev.A 23, 2634 (1981)
Thomas, G.A., Paalanen, M.A.: In: Localization, interaction, and transport phenomena. Kramer, B., Bergmann, G., Bruynserade, Y. (eds.), p. 77. Berlin, Heidelberg, New York: Springer 1985
Anderson, P.W.: In: Localization, interaction, and transport phenomena. Kramer, B., Bergmann, G., Bruynserade, Y. (eds.) p. 12. Berlin, Heidelberg, New York: Springer 1985
Götze, W.: In: Disordered semiconductors. Kastner, M.A., Thomas, G.A., Ovshinsky, S.R. (eds.), p. 83. New York: Plenum Press 1987
Forster, D.: Hydrodynamic fluctuations, broken symmetry, and correlation functions. London: Benjamin Inc 1975
Wall, H.S.: Analytic theory of continued fractions. New York: Van Norstrand 1948
Narcisi, C.: PhD-thesis, Technical University Munich, unpublished (1989)
Götze, W.: J. Phys.C 12, 1279 (1979); Philos. Mag.B43, 219 (1981)
Author information
Authors and Affiliations
Additional information
Dedicated to Professor W. Brenig on the occasion of his 60th birthday
Rights and permissions
About this article
Cite this article
Götze, W., Narcisi, C. A schematic model discussion of the conductor to insulator transition for particle motion in a random potential. Z. Physik B - Condensed Matter 78, 21–25 (1990). https://doi.org/10.1007/BF01317352
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01317352