Recombination Kinetics Involving Strongly Localized States Radiative Lifetime of a Chain with Light Emitting Ends

Publisher Website
Google Scholar
Abstract
The problem of the motion of an excited electron (hole) over randomly distributed localized states to its recombination centre is investigated. The one‐dimensional case where the radiative recombination centres are placed at the ends of a chain of localized states is considered. With some simplifying assumptions the problem is shown to be equivalent to that of a Markov chain with absorbing states. The lifetime of the excited state is expressed by the transition probabilities along the chain. The general expression for the lifetime is applied to the special case of an ensemble of chains where the fluctuations of the transition probabilities are mainly due to the fluctuations of the distances between neighbouring states. For Gaussian distributed distances the dependence of the lifetime on the number of states in a chain is explicitly calculated.