Diffusion and multifractality at the metal-insulator transition

Details Diffusion and multifractality at the metal-insulator transition Diffusion and multifractality at the metal-insulator transition

1997-05-07

arxiv.org/abs/cond-mat/9705056v1

Phil. Mag. B 77, 1181 (1998)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages (RevTeX), 3 figures, presented at the MINERVA Workshop on Mesoscopics, Fractals and Neural Networks, Eilat, Israel, M

Scientific paper

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.

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