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Numerical Investigation of the DC-Conductivity and Electron Localisation in One-Dimensional Disordered Systems

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Recent Developments in Condensed Matter Physics
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Abstract

The Anderson model of a 1 d disordered system is investigated using two independent numerical methods. The dc-conductivity, the inverse participation number, and the mean square extension of some eigenstates are calculated. Some transition from a conducting to a non-conducting state is found at a finite disorder in contradiction to the conventional theory. The implications of the results for the theory of disordered systems are discussed.

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© 1981 Plenum Press, New York

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Czycholl, G., Kramer, B. (1981). Numerical Investigation of the DC-Conductivity and Electron Localisation in One-Dimensional 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_21

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  • DOI: https://doi.org/10.1007/978-1-4684-3899-4_21

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-3901-4

  • Online ISBN: 978-1-4684-3899-4

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