Quantum Hall Phases, plasma analogy and incompressibility estimates

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Jakob Yngvason, University of Vienna

When a 2D many-particle system with a repulsive interaction is subject to a suff iciently strong magnetic field, that can also be produced by rapid rotation, str ongly correlated many-body states in the lowest Landau level LLL may emerge. In the talk conditions for the ground state to include the Laughlin state as a fact or will be presented, together with an analysis of the particle density in such states. This is joint work with Sylvia Serfaty and Nicolas Rougerie.