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Diffusion and multifractality at the metal-insulator transition

Bodo Huckestein, Rochus Klesse

cond-mat.mes-hallarXiv:cond-mat/9705056

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.

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