Diffusion and multifractality at the metal—insulator transition
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.
- Publication:
-
Philosophical Magazine, Part B
- Pub Date:
- May 1998
- DOI:
- arXiv:
- arXiv:cond-mat/9705056
- Bibcode:
- 1998PMagB..77.1181H
- Keywords:
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- Condensed Matter - Mesoscale and Nanoscale Physics;
- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 11 pages (RevTeX), 3 figures, presented at the MINERVA Workshop on Mesoscopics, Fractals and Neural Networks, Eilat, Israel, March 1997