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Dimers, Repulsions, and the Absence of Localisation

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Large-Scale Molecular Systems

Part of the book series: NATO ASI Series ((NSSB,volume 258))

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Abstract

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.

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© 1991 Plenum Press, New York

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Phillips, P., Wu, HL., Dunlap, D. (1991). Dimers, Repulsions, and the Absence of Localisation. In: Gans, W., Blumen, A., Amann, A. (eds) Large-Scale Molecular Systems. NATO ASI Series, vol 258. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5940-1_29

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  • DOI: https://doi.org/10.1007/978-1-4684-5940-1_29

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5942-5

  • Online ISBN: 978-1-4684-5940-1

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