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.

11 pages (RevTeX), 3 figures, presented at the MINERVA Workshop on Mesoscopics, Fractals and Neural Networks, Eilat, Israel, March 1997

References in corpus (1)

• Spatial and Spectral Multifractality of the Local Density of States at the Mobility Edge

Cited by in corpus (7)

• Quantum Hall effect in a one-dimensional dynamical system
• Point-Contact Conductances at the Quantum Hall Transition
• Wave-packet dynamics at the mobility edge in two- and three-dimensional systems
• Multifractal wave functions of simple quantum maps
• Metal-insulator transitions in anisotropic 2d systems
• Localization in non-chiral network models for two-dimensional disordered wave mechanical systems
• Multifractality in Rotational Percolation Models