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The effect of lattice vibrations on trap-limited exciton lifetimes
Authors:Richard A. Elliott  Katja Lakatos  Robert S. Knox
Affiliation:(1) Department of Physics and Astronomy, The University of Rochester, Rochester, New York;(2) Present address: Oregon Graduate Center, Portland, Oregon;(3) Present address: Department of Chemistry, University of California, San Diego, California
Abstract:The problem of exciton migration and trapping on a linear polymer is treated as a random walk on a one-dimensional lattice. The average number of steps required for a walker to be trapped is calculated when the probability of stepping to adjacent lattice sites is not symmetrical, and is found to be less than that calculated for a symmetrical walk. An asymmetrical stepping probability is shown to result from the thermal vibrations of the lattice. The magnitude of this effect on the exciton lifetime is estimated and found to be significant.This work was partially supported by the US Office of Naval Research, and by the US Air Force Office of Scientific Research (Grant #611-67).
Keywords:trap-limited exciton lifetimes  asymmetrical random walks  lattice vibrations  displacement correlation functions  phonon-assisted exciton lifetime reduction
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