Article Dans Une Revue Journal of Mathematical Physics Année : 2024

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
Vignette du fichier
Multiple Landau level filling for a large magnetic field limit of 2D fermions.pdf (597.92 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-03842135 , version 1 (08-11-2022)
hal-03842135 , version 2 (21-11-2024)
hal-03842135 , version 3 (30-01-2025)

Licence

Identifiants

Citer

Denis Périce. Multiple Landau level filling for a large magnetic field limit of 2D fermions. Journal of Mathematical Physics, 2024, 65 (2), ⟨10.1063/5.0133977⟩. ⟨hal-03842135v3⟩
196 Consultations
568 Téléchargements

Altmetric

Partager

  • More