Statistical properties of phases and delay times of the one-dimensional Anderson model with one open channel

Citation
A. Ossipov et al., Statistical properties of phases and delay times of the one-dimensional Anderson model with one open channel, PHYS REV B, 61(17), 2000, pp. 11411-11415
Citations number
34
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICAL REVIEW B
ISSN journal
10980121 → ACNP
Volume
61
Issue
17
Year of publication
2000
Pages
11411 - 11415
Database
ISI
SICI code
1098-0121(20000501)61:17<11411:SPOPAD>2.0.ZU;2-L
Abstract
We study the distribution of phases and of Wigner delay times for a one-dim ensional Anderson model with one open channel. Our approach, based on class ical Hamiltonian maps, allows us an analytical treatment. We find that the distribution of phases depends drastically on the parameter sigma(A) = sigm a/sin k where sigma(2) is the variance of the disorder distribution and k t he wave vector. It undergoes a transition from uniformity to singular behav ior as sigma(A) increases. The distribution of delay times shows universal power-law tails l/tau(2), while the short time behavior is sigma(A) depende nt.