2011
DOI: 10.1103/physrevb.84.052302
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Nonexponential relaxation dynamics of localized carrier densities in oxide crystals without structural or energetic disorder

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Cited by 14 publications
(16 citation statements)
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“…11 However, a general analytical description of hopping transport is in most cases impossible, and one has to turn to numerical approaches, e.g., random-walk simulations. 22,29 These analyses depend crucially on the assumptions made and a thorough investigation is beyond the scope of this initial work. One commonly used model is that of an exponentially decreasing transfer rate with increasing distance between hopping sites, in our case the monomer units.…”
Section: Time Dependence and Transport Phenomenamentioning
confidence: 99%
See 1 more Smart Citation
“…11 However, a general analytical description of hopping transport is in most cases impossible, and one has to turn to numerical approaches, e.g., random-walk simulations. 22,29 These analyses depend crucially on the assumptions made and a thorough investigation is beyond the scope of this initial work. One commonly used model is that of an exponentially decreasing transfer rate with increasing distance between hopping sites, in our case the monomer units.…”
Section: Time Dependence and Transport Phenomenamentioning
confidence: 99%
“…27,28,33 (3) Possible transport of the excitation via resonant energy transfer or hopping of excitons results in a strongly nonexponential decay of the PL signal. 22,29,31 The transition rate for hopping transport is likely to be proportional to the (exponentially decreasing) overlap of the π orbitals of cofacial aromatic systems. 29 In consequence, the lifetime of the PL decay grows exponentially with larger interplanar stacking distances in the polymer.…”
Section: Process-temperature Dependence and A Qualitative Modelmentioning
confidence: 99%
“…The measured decay and disappearance of the polaron state, and the absence of any new spectral features such as a trap-state or chargetransfer state absorption, confirms that the excited carriers are recombining while self-trapped in the polaron. The measured long-timescale dynamics are best-fitted using the stretched exponential theory for polaron hopping between trap states 46,47 ,…”
mentioning
confidence: 99%
“…3a). The stretching factor β in the exponential represents the sum over all possible hopping paths to a terminal defect site 46,47 . When β is one, the stretched exponential reduces to an exponential decay and the excited carrier decays almost on-site with a defect-state-determined lifetime of τ .…”
mentioning
confidence: 99%
“…This is a purely phenomenological representation and is used to interpret experimental results in many fields of physical science ,. There are four adjustable parameters for each recovery curve; M (∞), M (0), R *, and β. R * is the “characteristic relaxation rate” and β is the “stretching parameter”.…”
Section: Discussionmentioning
confidence: 99%