Time-delay correlations and resonances in one-dimensional disordered systems

Authors
Titov, M Fyodorov, YV
Citation
M. Titov et Yv. Fyodorov, Time-delay correlations and resonances in one-dimensional disordered systems, PHYS REV B, 61(4), 2000, pp. R2444-R2447
Citations number
19
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
PHYSICAL REVIEW B
ISSN journal
10980121 → ACNP
Volume
61
Issue
4
Year of publication
2000
Pages
R2444 - R2447
Database
ISI
SICI code
1098-0121(20000115)61:4<R2444:TCARIO>2.0.ZU;2-D
Abstract
The frequency dependent time-delay correlation function K(Omega) is studied analytically for a particle reflected from a finite one-dimensional (1D) d isordered system. In the long sample limit, K(Omega) can be used to extract the resonance width distribution rho(Gamma). Both quantities are found to decay algebraically as Gamma(-nu) and Omega(-nu), nu similar or equal to 1. 25 in a large range of arguments. Numerical calculations for the resonance width distribution in the 1D non-Hermitian tight-binding model agree reason ably with the analytical formulas.