Localization-delocalization transition in disordered systems with a direction
无序系统与神经网络
2009-10-31 v1 高能物理 - 格点
高能物理 - 理论
摘要
Using the supersymmetry technique, we study the localization-delocalization transition in quasi-one-dimensional non-Hermitian systems with a direction. In contrast to chains, our model captures the diffusive character of carriers' motion at short distances. We calculate the joint probability of complex eigenvalues and some other correlation functions. We find that the transition is abrupt and occurs as a result of an interplay between two saddle-points in the free energy functional.
引用
@article{arxiv.cond-mat/0001263,
title = {Localization-delocalization transition in disordered systems with a direction},
author = {A. V. Kolesnikov and K. B. Efetov},
journal= {arXiv preprint arXiv:cond-mat/0001263},
year = {2009}
}
备注
4 pages, 1 figure