Scaling Properties of Conductance at Integer Quantum Hall Plateau Transitions
Disordered Systems and Neural Networks
2009-10-31 v1
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 <G>_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.
Keywords
Cite
@article{arxiv.cond-mat/9803356,
title = {Scaling Properties of Conductance at Integer Quantum Hall Plateau Transitions},
author = {Xiashoa Wang and Qiming Li and C. M. Soukoulis},
journal= {arXiv preprint arXiv:cond-mat/9803356},
year = {2009}
}
Comments
4 pages, 3 postscript figures, Submitted to PRL