Quantum Hall effect at weak magnetic field: New float-up picture
Abstract
The fate of integer quantum Hall effect (IQHE) at weak magnetic field is studied numerically in the presence of correlated disorders. We find a systematic float-up and 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 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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