Mathematical Physics
[Submitted on 7 Dec 2022 (v1), last revised 21 Nov 2024 (this version, v2)]
Title:Multiple Landau level filling for a mean field limit of 2D fermions
View PDFAbstract: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.
Submission history
From: Denis Périce [view email][v1] Wed, 7 Dec 2022 17:00:36 UTC (504 KB)
[v2] Thu, 21 Nov 2024 18:40:45 UTC (47 KB)
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