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

Zeitschrift für Physik B Condensed Matter, ISSN: 1434-6036, Vol: 73, Issue: 1, Page: 17-21
1988
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  • Citations
    12
    • Citation Indexes
      12

Article Description

We study the E-dependence of the Lyapounov exponent <γ(E)> of an electron with energy E in the one dimensional Anderson model with off diagonal disorder. In the neighbourhood of the band centre we find for nonzero disorder ∼logE→0 for E→0, but all even moments of Reγ(E) diverge logarithmically. As the probability of Re γ(E)=0 decreases to zero for E→0 we conclude that the electron is always exponentially localised. © 1988 Springer-Verlag.

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