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Frequency dependent conductivity of random one-dimensional chains

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Zeitschrift für Physik B Condensed Matter

Abstract

We examine the frequency dependent conductivity of an exactly soluble model of a random system, the one-dimensional quantum percolation model. Since this system does not fall into the category of weak scattering by the disorder, we do not find the asymptoticω 2ln2(ω/ω 0) behavior suggested by Mott. For systems which are most disordered, we find that the conductivity spectrum consists of discrete levels, while for systems in which the disorder is much less dense, we may use a continuum approximation. The conductivity is then given by anω −3 cosech (2π/ωτ) law. We speculate that such behavior may be found in mixed valent planar compounds such as K2Pt(CN4)3(H2O) with small amounts of Br or Cl added.

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  1. Department of Physics, Polytechnic Institute of New York, 333 Jay Street, 11201, Brooklyn, New York, USA

    Peter S. Riseborough

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  1. Peter S. Riseborough
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Riseborough, P.S. Frequency dependent conductivity of random one-dimensional chains. Z. Physik B - Condensed Matter 51, 173–176 (1983). https://doi.org/10.1007/BF01308771

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  • DOI: https://doi.org/10.1007/BF01308771

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