Abstract
We construct a nonlinear \ensuremath{\sigma} model to describe a system of noninteracting electrons propagating in the presence of random magnetic flux. We find a term describing the long range logarithmic interaction between the topological density of the nonlinear sigma model, and argue that this could give rise to a Kosterlitz-Thouless transition from the localized phase to a phase with power law correlations and continuously varying conductances. We provide a physical interpretation of our results in terms of the scattering of edge states of the magnetic domains in different regions.
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