Quantum Hall Transition in the Classical Limit

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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8 pages, 4 figures; substantial changes include the critical conductivity calculation

Scientific paper

10.1142/S0217979201004794

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 \nu=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 \sigma_{xx} = \sqrt{3}/4.

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