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arXiv · 2212.03780

Multiple Landau level filling for a mean field limit of 2D fermions

Denis Périce
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Abstract

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.

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Denis Périce. 2024-11-21. Multiple Landau level filling for a mean field limit of 2D fermions. https://doi.org/10.1063/5.0133977

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