二维随机磁介质中磁扰动对Landau能级的劈裂和Anderson跃迁
Splitting of the Landau levels by magnetic perturbations and Anderson transition in 2D-random magnetic media
摘要：
本文考虑了一个受Anderson型随机磁势扰动的朗道哈密顿量。对于一个给定的频带数，我们证明了存在的两个强烈的本地化状态在边缘的频谱和动力学离域附近的中心的频带的意义上，波包至少在一个给定的最小速度旅行。我们提供明确的例子磁扰动分裂的朗道水平到完整的频谱间隔。
英文摘要：
In this note we consider a Landau Hamiltonian perturbed by a random magnetic potential of Anderson type. For a given number of bands, we prove the existence of both strongly localized states at the edges of the spectrum and dynamical delocalization near the center of the bands in the sense that wave packets travel at least at a given minimum speed. We provide explicit examples of magnetic perturbations that split the Landau levels into full intervals of spectrum.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
