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The one dimensional anderson model with off diagonal disorder: band centre anomaly

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Zeitschrift für Physik B Condensed Matter

Abstract

We study theE-dependence of the Lyapounov exponent <γ(E)> of an electron with energyE in the one dimensional Anderson model with off diagonal disorder. In the neighbourhood of the band centre we find for nonzero disorder <Reγ(E)>∼log−1 E→0 forE→0, but all even moments of Reγ(E) diverge logarithmically. As the probability of Re γ(E)=0 decreases to zero forE→0 we conclude that the electron is always exponentially localised.

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Authors and Affiliations

  1. Institute of Measurement and Measuring Technique, Electro-Physical Research Center, Slovak Academy of Sciences, Dúbravska cesta 9, CS-842 19, Bratislava, Czechoslovakia

    P. Markoš

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  1. P. Markoš
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Markoš, P. The one dimensional anderson model with off diagonal disorder: band centre anomaly. Z. Physik B - Condensed Matter 73, 17–21 (1988). https://doi.org/10.1007/BF01312150

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  • DOI: https://doi.org/10.1007/BF01312150

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