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Theory of Hopping Conductivity in Disordered Semiconductors

  • Chapter
Linear and Nonlinear Electron Transport in Solids

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 17))

Abstract

The semiclassical theory of hopping conductivity in disordered semiconductors is reviewed. The relationship between hopping conductivity and random walks in random systems is described. The randomness of the system is shown to play a major role in determining the frequency dependence of the ac conductivity. The dc conductivity is controlled by the electron diffusivity which involves the product of the mean hopping frequency and the mean square distance moved per hop. The mean hopping frequency is calculated for simple models and shown to contain no exponential factors. The mean square distance moved per hop is exponentially smaller than the mean square nearest neighbour intersite spacing. It is calculated for simple models by using an approach derived from percolation theory.

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Author information

Authors and Affiliations

  1. University of Warwick, Coventry, England

    P. N. Butcher

Authors
  1. P. N. Butcher
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Editor information

Editors and Affiliations

  1. State University of Antwerp (RUCA), Antwerp, Belgium

    J. T. Devreese  & V. E. van Doren  & 

  2. UIA, Antwerp, Belgium

    J. T. Devreese

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© 1976 Springer Science+Business Media New York

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Butcher, P.N. (1976). Theory of Hopping Conductivity in Disordered Semiconductors. In: Devreese, J.T., van Doren, V.E. (eds) Linear and Nonlinear Electron Transport in Solids. NATO Advanced Study Institutes Series, vol 17. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0875-2_12

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  • DOI: https://doi.org/10.1007/978-1-4757-0875-2_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0877-6

  • Online ISBN: 978-1-4757-0875-2

  • eBook Packages: Springer Book Archive

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