Localization and mobility edge for sparsely random potentials
数学物理
2007-05-23 v2 无序系统与神经网络
math.MP
谱理论
摘要
In this paper we consider sparsely random potentials in 5 or more dimensional cubic lattice and exhibit localized and extended states. We identify also the mobility edge for a class of potentials going to infinity at infinity. Our treatment includes a large class of unperturbed selfadjoint opeartors commuting with the usual Laplacian on the lattice.
引用
@article{arxiv.math-ph/9805015,
title = {Localization and mobility edge for sparsely random potentials},
author = {M Krishna and J Obermeit},
journal= {arXiv preprint arXiv:math-ph/9805015},
year = {2007}
}
备注
Completely revised, main theorems modified; latex2e file