Non-Hermitian Delocalization and Eigenfunctions
统计力学
2009-10-31 v1 无序系统与神经网络
摘要
Recent literature on delocalization in non-Hermitian systems has stressed criteria based on sensitivity of eigenvalues to boundary conditions and the existence of a non-zero current. We emphasize here that delocalization also shows up clearly in eigenfunctions, provided one studies the product of left- and right-eigenfunctions, as required on physical grounds, and not simply the squared modulii of the eigenfunctions themselves. We also discuss the right- and left-eigenfunctions of the ground state in the delocalized regime and suggest that the behavior of these functions, when considered separately, may be viewed as ``intermediate'' between localized and delocalized.
引用
@article{arxiv.cond-mat/9805195,
title = {Non-Hermitian Delocalization and Eigenfunctions},
author = {Naomichi Hatano and David R. Nelson},
journal= {arXiv preprint arXiv:cond-mat/9805195},
year = {2009}
}
备注
8 pages, 11 figures included