Diffusion of electrons in random magnetic fields,

Abstract

Diffusion of electrons in a two-dimensional system in static random magnetic fields is studied by solving the time-dependent Schrödinger equation numerically. The asymptotic behaviors of the second moment of the wave packets and the temporal auto-correlation function in such systems are investigated. It is shown that, in the region away from the band edge, the growth of the variance of the wave packets turns out to be diffusive, whereas the exponents for the power-law decay of the temporal auto- correlation function suggest a kind of fractal structure in the energy spectrum and in the wave functions. The present results are consistent with the interpretation that the states away from the band edge region are critical.

22 pages (8 figures will be mailed if requested), LaTeX, to appear in Phys. Rev. B

References in corpus (4)

• Relation between the Correlation Dimensions of Multifractal Wavefunctions and Spectral Measures in Integer Quantum Hall Systems
• A Unified Model for Two Localisation Problems: Electron States in Spin-Degenerate Landau Levels, and in a Random Magnetic Field
• Localization of Charged Quantum Particles in a Static Random Magnetic Field
• Effective Field Theory of Electron Motion in the Presence of Random Magnetic Flux

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