Abstract
We use the generalized master equation with a simple exponential memory but with disorder in its spatial dependence to analyze the combined effect of coherence and randomness on the transport of quasiparticles. We calculate the mean-square-displacement and find that it retains well-known properties in the presence of randomness.
Similar content being viewed by others
References
Förster, Th.: Ann. Phys. Leipzig2, 55 (1948)
Haan, S.W., Zwanzig, R.: J. Chem. Phys.68, 1879 (1978)
Gochanour, C.R., Andersen, H.C., Fayer, M.D.: J. Chem. Phys.70, 4254 (1979)
Montroll, E.W., Weiss, G.H.: J. Math. Phys. 6, 167 (1965)
Scher, H., Lax, M.: Phys. Rev. B7, 4502 (1973)
Scher, H., Montroll, E.W.: Phys. Rev. B12, 2455 (1975)
Klafter, J., Silbey, R.: Phys. Rev. Lett.44, 55 (1980)
Godzik, K., Jortner, J., Chem. Phys.38, 227 (1979); Chem. Phys. Lett.63, 428 (1979)
Blumen, A., Klafter, J., Silbey, R.: J. Chem. Phys.72, 5320 (1980)
Miller, A., Abrahams, E.: Phys. Rev.120, 745 (1960)
McInnes, J.A., Butcher, P.N., Clerk, J.D.: Philos. Mag.41, 1 (1980)
Haken, H., Strobl, G.: Z. Phys.262, 135 (1973)
Reineker, P.: In: Exciton Dynamics in Molecular Crystals: The Stochastic-Liouville-Equation Approach. Höhler, G. (ed.), Berlin, Heidelberg, New York: Springer-Verlag 1982 (in press) and references therein
Gover, M., Silbey, R.: J. Chem. Phys.54, 4843 (1971)
Silbey, R.: Annu. Rev. Phys. Chem.27, 203 (1976) and references therein
Kenkre, V.M., Knox, R.S.: Phys. Rev. B9, 5279 (1974)
Kenkre, V.M.: In: Statistical Mechanics and Statistical Methods in Theory and Application. Landman, U. (ed.). New York: Plenum Press 1977
Kenkre, V.M.: In: Exciton Dynamics in Milecular Crystals: The Generalized-Master-Equation Approach. Höhler, G. (ed.). Berlin, Heidelberg, New York: Springer-Verlag 1982 (in press) and references therein
Kenkre, V.M.: Phys. Rev. B11, 1741 (1975)
Kenkre, V.M.: Phys. Rev. B12, 2150 (1975)
Huber, D.L.: Phys. Rev. B20, 2307; 5333 (1979)
Ghosh, K.K., Huber, D.L.: J. Lumin.21, 225 (1980) and references therein
Dexter, D.L.: J. Chem. Phys.21, 836 (1953)
Author information
Authors and Affiliations
Additional information
Supported by NSF grant no. DMR-7919539
Rights and permissions
About this article
Cite this article
Wong, Y.M., Kenkre, V.M. Comments on the effect of disorder on transport with intermediate degree of coherence: Calculation of the mean square displacement. Z. Physik B - Condensed Matter 46, 185–188 (1982). https://doi.org/10.1007/BF01312724
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01312724