https://doi.org/10.1140/epjb/e2003-00294-0
Short-distance wavefunction statistics in one-dimensional Anderson localization
Max-Planck-Institut für Physik komplexer Systeme,
Nöthnitzer Str. 38, 01187 Dresden, Germany
Corresponding author: a henning@mpipks-dresden.mpg.de
Received:
10
July
2003
Published online:
15
October
2003
We investigate the short-distance statistics of the local density of states ν 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