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Scaling Properties of Conductance at Integer Quantum Hall Plateau Transitions

Xiashoa Wang·Qiming Li·C. M. Soukoulis
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Abstract

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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Xiashoa Wang, Qiming Li, C. M. Soukoulis. 1998-03-30. Scaling Properties of Conductance at Integer Quantum Hall Plateau Transitions. https://doi.org/10.1103/physrevb.58.3576

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