Dimers, Repulsions, and the Absence of Localisation
We review here two models we have recently proposed which do not conform to the standard view that disorder precludes long range transport in 1-dimension. The two models we consider are the repulsive binary alloy and the random dimer model. We show that the mean-square displacement of an initially-localised particle in either of these models will grow in time as t3/2. Transport obtains in both models because √N of the electronic states are unscattered by the disorder. The relevance of these models to the conductivity of Fibonacci semiconductor lattices and polyaniline is discussed.
KeywordsElectronic State Localisation Length Site Energy Fibonacci Sequence Matrix Element Versus
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- 3.D. H. Dunlap, H.-L. Wu, and P. Phillips, submitted, Phys. Rev. Lett.; H.-L. Wu, Phys. Rev. B. submittedGoogle Scholar
- 4.S. Feng, private communication.Google Scholar
- 6.H. -L. Wu and P. Phillips, in preparation.Google Scholar
- 8.R. Clarke, T. Moustakas, K. Bajema, D. Grier, W. dos Passos, and R. Merlin, Superlattices and microstructures B4, 371 (1988).Google Scholar