Abstract

Nicolas Regnault (Ecole Normale Superieure, Paris)


Multi-component fractional quantum Hall effect

The role of spin-like internal degrees of freedom in the fractional quantum Hall regime has been intensively studied. This question has been addressed both for the "real" spin of electrons or the layer index in the case of bilayer systems. Recently, new physical systems such as graphene, have motivated a deeper look at richer internal degrees of freedom. We will present the different strategies that have been developed to study this new cases. We will mainly focus on the generalized Halperin wave functions since there are a straightforward generalization of the Laughlin state. Even within this simple picture, we will show larger symmetry groups open new perspectives in the fractional quantum Hall physics.