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Numerical Calculation of Conductivity of Disordered Systems

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Recent Developments in Condensed Matter Physics

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Abstract

The dc-conductivity of the two and three dimensional Anderson model is studied numerically using the equation of motion method. From the disorder dependence of the conductivity in the center of the band a minimum metallic conductivity is estimated. Its numerical value is 0.2 ± 0.1 e2/ħ for the square lattice and 0.05±0.02 e2/ħa for the simple cubic lattice.

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Author information

Authors and Affiliations

  1. Physikalisch-Technische Bundesanstalt, Bundesallee 100, 3300, Braunschweig, Federal Republic of Germany

    B. Kramer & A. MacKinnon

Authors
  1. B. Kramer
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  2. A. MacKinnon
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Editor information

Editors and Affiliations

  1. University of Antwerpen (RUCA and UIA), Belgium

    J. T. Devreese (Chairman of the Conference, Professor of Theoretical Physics) (Chairman of the Conference, Professor of Theoretical Physics)

  2. University of Antwerpen (RUCA), Belgium

    L. F. Lemmens  & V. E. Van Doren  & 

  3. University of Antwerpen (UIA), Belgium

    J. Van Royen

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© 1981 Plenum Press, New York

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Kramer, B., MacKinnon, A. (1981). Numerical Calculation of Conductivity of Disordered Systems. In: Devreese, J.T., Lemmens, L.F., Van Doren, V.E., Van Royen, J. (eds) Recent Developments in Condensed Matter Physics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3899-4_23

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  • DOI: https://doi.org/10.1007/978-1-4684-3899-4_23

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-3901-4

  • Online ISBN: 978-1-4684-3899-4

  • eBook Packages: Springer Book Archive

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