Diffusion and multifractality at the metal-insulator transition
介观与纳米尺度物理
2017-02-08 v1 无序系统与神经网络
摘要
We review the time evolution of wavepackets at the metal-insulator transition in two- and three-dimensional disordered systems. The importance of scale invariance and multifractal eigenfunction fluctuations is stressed. The implications of the frequency- and wavevector-dependence of the diffusion coefficient are compared with the results of numerical simulations. We argue that network models are particularly suited for the investigation of the dynamics of disordered systems.
引用
@article{arxiv.cond-mat/9705056,
title = {Diffusion and multifractality at the metal-insulator transition},
author = {Bodo Huckestein and Rochus Klesse},
journal= {arXiv preprint arXiv:cond-mat/9705056},
year = {2017}
}
备注
11 pages (RevTeX), 3 figures, presented at the MINERVA Workshop on Mesoscopics, Fractals and Neural Networks, Eilat, Israel, March 1997