Spectral Statistics Beyond Random Matrix Theory
凝聚态物理
2016-08-31 v1
摘要
Using a nonperturbative approach we examine the large frequency asymptotics of the two-point level density correlator in weakly disordered metallic grains. This allows us to study the behavior of the two-level structure factor close to the Heisenberg time. We find that the singularities (present for random matrix ensembles) are washed out in a grain with a finite conductance. The results are nonuniversal (they depend on the shape of the grain and on its conductance), though they suggest a generalization for any system with finite Heisenberg time.
引用
@article{arxiv.cond-mat/9503141,
title = {Spectral Statistics Beyond Random Matrix Theory},
author = {A. V. Andreev and B. L. Altshuler},
journal= {arXiv preprint arXiv:cond-mat/9503141},
year = {2016}
}
备注
Uuencoded file with two eps figures, 10 pages.