Multiple Landau level filling for a large magnetic field limit of 2D fermions
Résumé
Motivated by the quantum hall effect, we study N two dimensional interacting fermions in a large magnetic field limit. We work in a bounded domain, ensuring finite degeneracy of the Landau levels. In our regime, several levels are fully filled and inert: the density in these levels is constant. We derive a limiting mean-field and semi classical description of the physics in the last, partially filled Landau level.
Fichier principal
Multiple_Landau_level_filling_for_a_mean_field_limit_of_2D_fermions.pdf (688.62 Ko)
Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)