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Short-distance wavefunction statistics in one-dimensional Anderson localization

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Abstract.

We investigate the short-distance statistics of the local density of states \(\nu\) in long one-dimensional disordered systems, which display Anderson localization. It is shown that the probability distribution function \(P(\nu)\) can be recovered from the long-distance wavefunction statistics, if one also uses parameters that are irrelevant from the perspective of two-parameter scaling theory.

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Authors and Affiliations

  1. Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187, Dresden, Germany

    H. Schomerus & M. Titov

Authors
  1. H. Schomerus
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  2. M. Titov
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Correspondence to H. Schomerus.

Additional information

Received: 10 July 2003, Published online: 15 October 2003

PACS:

72.15.Rn Localization effects (Anderson or weak localization) - 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion - 42.25.Dd Wave propagation in random media - 73.20.Fz Weak or Anderson localization

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Schomerus, H., Titov, M. Short-distance wavefunction statistics in one-dimensional Anderson localization. Eur. Phys. J. B 35, 421–427 (2003). https://doi.org/10.1140/epjb/e2003-00294-0

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