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Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2022

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.
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Dates et versions

hal-03842135 , version 1 (08-11-2022)

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  • HAL Id : hal-03842135 , version 1

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Denis Périce. Multiple Landau level filling for a large magnetic field limit of 2D fermions. 2022. ⟨hal-03842135v1⟩
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