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Effective Field Theory of Electron Motion in the Presence of Random Magnetic Flux

Shoucheng Zhang·Daniel Arovas
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Abstract

We construct a nonlinear $σ$ model to describe a system of non-interacting electrons propagating in the presence of random magnetic flux. We find a term describing the long ranged logarithmic interaction between the topological density of the non-linear 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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Shoucheng Zhang, Daniel Arovas. 1993-12-02. Effective Field Theory of Electron Motion in the Presence of Random Magnetic Flux. https://doi.org/10.1103/physrevlett.72.1886

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