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Quantum Hall Transition in the Classical Limit

V. Gurarie·A. Zee
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Abstract

We study the quantum Hall transition using the density-density correlation function. We show that in the limit h->0 the electron density moves along the percolating trajectories, undergoing normal diffusion. The localization exponent coincides with its percolation value ν=4/3. The framework provides a natural way to study the renormalization group flow from percolation to quantum Hall transition. We also confirm numerically that the critical conductivity of a classical limit of quantum Hall transition is σ_{xx} = \sqrt{3}/4.

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V. Gurarie, A. Zee. 2000-11-28. Quantum Hall Transition in the Classical Limit. https://doi.org/10.1142/s0217979201004794

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