Séminaire Physique mathématique ICJ

Geometry and large N limits in Quantum Hall states

by Semyon Klevtsov (Universität zu Köln)

Fokko du Cloux (Institut Camille Jordan)

Fokko du Cloux

Institut Camille Jordan

Université Lyon 1, Bât. Braconnier, 21 av. Claude Bernard, 69100 Villeurbanne

One of the most successful approaches to the Quantum Hall effect (QHE) is to postulate trial N-particle wave functions, called QH states. The physics of QHE can be inferred when wave functions are defined on Riemann surfaces, with an arbitrary genus, metric, moduli etc, and for the large number of particles N. I will also explain that large N asymptotics aspect of the problem involves probabilistic constructions such as gaussian free fields.

Organized by

Fabien Vignes-Tourneret

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