Statistical properties of a localization-delocalization transition in one dimension

Authors
Steiner, M Chen, Y Fabrizio, M Gogolin, AO
Citation
M. Steiner et al., Statistical properties of a localization-delocalization transition in one dimension, PHYS REV B, 59(23), 1999, pp. 14848-14851
Citations number
29
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICAL REVIEW B-CONDENSED MATTER
ISSN journal
01631829 → ACNP
Volume
59
Issue
23
Year of publication
1999
Pages
14848 - 14851
Database
ISI
SICI code
0163-1829(19990615)59:23<14848:SPOALT>2.0.ZU;2-O
Abstract
We study a one-dimensional model of disordered electrons (also relevant for random spin chains), which exhibits a delocalization transition at half-fi lling. Exact probability distribution functions for the Wigner time and tra nsmission coefficient are calculated. We identify and distinguish those fea tures of probability densities that are due to rare trapping configurations of the random potential from those which are due to the proximity to the d elocalization transition.