Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces
Perturbative diagonalization for Maryland-type quasiperiodic operators with flat pieces
复制标题
DOI：
10.1063/5.0042994
复制
发表时间：
2021-02
影响因子：
1.3
通讯作者：
I. Kachkovskiy;Stanislav Krymski;L. Parnovski;R. Shterenberg
中科院分区：
文献类型：
--
作者：
I. Kachkovskiy;Stanislav Krymski;L. Parnovski;R. Shterenberg
我们考虑$\mathbb Z^d$上具有无界单调采样函数（“Maryland-type”）的准周期算子，它不要求严格单调，并且允许有平坦段。在频率、段长度和位置的几种几何条件下，我们证明了这些算子在大无序下具有安德森局域性。
We consider quasiperiodic operators on $\mathbb Z^d$ with unbounded monotone sampling functions ("Maryland-type"), which are not required to be strictly monotone and are allowed to have flat segments. Under several geometric conditions on the frequencies, lengths of the segments, and their positions, we show that these operators enjoy Anderson localization at large disorder.