Decorrelation estimates for a 1D tight binding model in the localized regime
Mathematical Physics
2013-03-12 v3 math.MP
Abstract
In this article, we prove decorrelation estimates for the eigenvalues of a 1D discrete tight binding model near two distinct energies in the localized regime. Consequently, with an arbitrary, fixed number n, the asymptotic independence for local level statistics near n distinct energies is obtained.
Keywords
Cite
@article{arxiv.1212.3991,
title = {Decorrelation estimates for a 1D tight binding model in the localized regime},
author = {Trinh Tuan Phong},
journal= {arXiv preprint arXiv:1212.3991},
year = {2013}
}
Comments
31 pages. arXiv admin note: text overlap with arXiv:1004.1261 by other authors