Abstract
Electron motion is studied in a microscopic model for the integer quantum Hall effect in the nth Landau level. Motion is diffusive in the limit n → ∞; quantum interference corrections are calculated using an expansion in powers of n −1. It is shown that universal, weak localisation corrections to Boltzmann conductivity, which arise as system size increases, are preempted by strong, finite wavevector correlations between eigenstates. It is argued that quantum interference effects become dominant much more rapidly under scaling than previously expected and that a scale dependent diffusion constant is insufficient to characterise eigenstates near the mobility edge.
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