恒定磁场中合金型模型的Lifshitz尾
Lifshitz tails for alloy type models in a constant magnetic field
摘要：
本文研究了随机合金型势扰动下二维朗道哈密顿量的Lifshitz尾，其中合金型势是由至少以高斯速度衰减的单点势构成的。我们证明了，如果朗道能级保持作为带边的扰动哈密顿量，在朗道能级，积分态密度有一个Lifshitz行为的类型$e^{-\log^2|E-2bq|}$。
英文摘要：
In this note, we study Lifshitz tails for a 2D Landau Hamiltonian perturbed by a random alloy-type potential constructed with single site potentials decaying at least at a Gaussian speed. We prove that, if the Landau level stays preserved as a band edge for the perturbed Hamiltonian, at the Landau levels, the integrated density of states has a Lifshitz behavior of the type $e^{-\log^2|E-2bq|}$.
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