Diffusion and multifractality at the metal-insulator transition
Mesoscale and Nanoscale Physics
2017-02-08 v1 Disordered Systems and Neural Networks
Abstract
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.
Cite
@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}
}
Comments
11 pages (RevTeX), 3 figures, presented at the MINERVA Workshop on Mesoscopics, Fractals and Neural Networks, Eilat, Israel, March 1997