Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2000-08-10
Int. J. Mod. Phys. 15, 1225 (2001)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
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.
Gurarie Victor
Zee Anthony
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