Anderson localization problem: an exact solution for 2-D anisotropic systems
无序系统与神经网络
2009-11-11 v1
摘要
Our previous results [J.Phys.: Condens. Matter 14 (2002) 13777] dealing with the analytical solution of the two-dimensional (2-D) Anderson localization problem due to disorder is generalized for anisotropic systems (two different hopping matrix elements in transverse directions). We discuss the mathematical nature of the metal-insulator phase transition which occurs in the 2-D case, in contrast to the 1-D case, where such a phase transition does not occur. In anisotropic systems two localization lengths arise instead of one length only.
引用
@article{arxiv.cond-mat/0611198,
title = {Anderson localization problem: an exact solution for 2-D anisotropic systems},
author = {V. N. Kuzovkov and W. von Niessen},
journal= {arXiv preprint arXiv:cond-mat/0611198},
year = {2009}
}
备注
16 pages, Physica A (accepted)