Localization and delocalization in quantum hall systems

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Description:	Germinet, F (Université de Cergy-Pontoise) Friday 19 December 2008, 11:30-12:30 Classical and Quantum Transport in the Presence of Disorder

Created:

2009-01-22 17:53

Collection:

Mathematics and Physics of Anderson Localization: 50 Years After

Publisher:

Isaac Newton Institute

Germinet, F

Language:

eng (English)

Credits:

Author:

Germinet, F


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. A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After

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.

A seminar from the Classical and Quantum Transport in the Presence of Disorder conference in association with the Newton Institute programme: Mathematics and Physics of Anderson localization: 50 Years After

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