Resonances in one-dimensional Disordered Chain
Disordered Systems and Neural Networks
2009-11-11 v2 Mathematical Physics
math.MP
Abstract
We study the average density of resonances, , in a semi-infinite disordered chain coupled to a perfect lead. The function is defined in the complex energy plane and the distance from the real axes determines the resonance width. We concentrate on strong disorder and derive the asymptotic behavior of in the limit of small .
Keywords
Cite
@article{arxiv.cond-mat/0605030,
title = {Resonances in one-dimensional Disordered Chain},
author = {Herve Kunz and Boris Shapiro},
journal= {arXiv preprint arXiv:cond-mat/0605030},
year = {2009}
}
Comments
latex, 1 eps figure, 9 pages; v2 - final version, published in the JPhysA Special Issue Dedicated to the Physics of Non-Hermitian Operators