Eur. Phys. J. B 35, 421-427 (2003)
DOI: 10.1140/epjb/e2003-00294-0

Short-distance wavefunction statistics in one-dimensional Anderson localization

H. Schomerus and M. Titov

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

henning@mpipks-dresden.mpg.de

(Received 10 July 2003 Published online 15 October 2003)

Abstract
We investigate the short-distance statistics of the local density of states in long one-dimensional disordered systems, which display Anderson localization. It is shown that the probability distribution function 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.

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 .

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2003

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