Quantum Hall Transition in the Classical Limit

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.

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

References in corpus (2)

• Linking numbers for self-avoiding walks and percolation: application to the spin quantum Hall transition
• Liouvillian Approach to the Integer Quantum Hall Effect Transition

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