Scaling Properties of Conductance at Integer Quantum Hall Plateau Transitions

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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4 pages, 3 postscript figures, Submitted to PRL

Scientific paper

10.1103/PhysRevB.58.3576

We investigate the scaling properties of zero temperature conductances at integer quantum Hall plateau transitions in the lowest Landau band of a two-dimensional tight-binding model. Scaling is obeyed for all energy and system sizes with critical exponent nu =7/3 . The arithmetic average of the conductance at the localization-delocalization critical point is found to be _c = 0.506 e^2 / h, in agreement with the universal longitudinal conductance predicted by an analytical theory. The probability distribution of the conductance at the critical point is broad with a dip at small G.

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