Quantum Hall effect at weak magnetic field: New float-up picture

Details Quantum Hall effect at weak magnetic field: New float-up picture Quantum Hall effect at weak magnetic field: New float-up picture

2000-03-08

arxiv.org/abs/cond-mat/0003117v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 4 figures

Scientific paper

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.

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