论文标题
多个Landau级填充的平均场限制为2D费米子
Multiple Landau level filling for a mean field limit of 2D fermions
论文作者
论文摘要
在量子厅效应的动机上，我们研究了n二维相互作用的费米子，在较大的磁场极限下。我们在有限的领域工作，以确保Landau级别的有限变性。在我们的制度中，几个级别是完全填充和惰性的：这些级别的密度是恒定的。我们在最后一部分填充的Landau级别中得出了对物理学的限制均值和半经典描述。
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.
