Quantum Hall effect at weak magnetic field: New float-up picture
Mesoscale and Nanoscale Physics
2007-05-23 v1
Abstract
The fate of integer quantum Hall effect (IQHE) at weak magnetic field is studied numerically in the presence of {\it correlated} disorders. We find a systematic {\it float-up} and {\it merging} picture for extended levels on the low-energy side which results in direct transitions from higher-plateau IQHE states to the insulator. Such direct transitions are controlled by a quantum critical point with a {\it universal} scaling form of conductance. The phase diagram is in good agreement with recent experiments. The issue of continuum vs. lattice model is also discussed.
Cite
@article{arxiv.cond-mat/0003117,
title = {Quantum Hall effect at weak magnetic field: New float-up picture},
author = {D. N. Sheng and Z. Y. Weng and X. G. Wen},
journal= {arXiv preprint arXiv:cond-mat/0003117},
year = {2007}
}
Comments
4 pages, 4 figures