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Localization and delocalization in quantum hall systems

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Mathematics and Physics of Anderson localization: 50 Years After

We shall present recent results on localization and delocalization in quantum Hall systems. Anderson potentials are known to be relevant for a mathematical proof of the existence of plateaux in the integer quantum Hall effect. Moreover, for such models, a dynamical statement of delocalization can be proved near the Landau levels, implying a dynamical Anderson transition for such models. Last results include the case where the Landau gaps are closed. We may then mention recent results concerning quantum Hall currents.

This talk is part of the Isaac Newton Institute Seminar Series series.

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