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MPA

Seminar

Localization and delocalization in quantum hall systems

Germinet, F (Université de Cergy-Pontoise)
Friday 19 December 2008, 11:30-12:30

Seminar Room 1, Newton Institute

Abstract

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.

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