Abstract
Based on the generalized molecular crystal model (GMCM) and theoretical percolationarguments we investigate small polaron hopping transport in 1D disorderedsystems at high temperatures. Correlation (cr) effects are taken into account. Ananalytical expression for the temperature dependence of the electrical conductivity,lnσh,cr∼T−1/2, is obtained. This result reproduces satisfactorily the experimental data reported forλ-DNA and for poly(dA)–poly(dT) DNA, considering DNA as a one-dimensionaldisordered molecular wire in which small polarons are the charge carriers.lnσh,cr versus T−1/2 plots permit the evaluation of the maximum hopping distance. The results indicate thatcorrelation effects are probably responsible for large hopping distances in DNAsamples.
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