On the Spectrum of Quasi-periodic Schrodinger Operators on Zd with C2-Cosine Type Potentials

被引：0

作者：

Cao, Hongyi ^{[1
]}

Shi, Yunfeng ^{[2
]}

Zhang, Zhifei ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[2] Sichuan Univ, Sch Math, Chengdu 610064, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2024年 / 405卷 / 08期

关键词：

DENSITY-OF-STATES; ANDERSON LOCALIZATION; EQUATION;

D O I：

10.1007/s00220-024-05073-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we establish the Anderson localization, strong dynamical localization and the (1/2-)-Holder continuity of the integrated density of states (IDS) for some multi-dimensional discrete quasi-periodic (QP) Schrodinger operators with asymmetric C-2-cosine type potentials. We extend both the iteration scheme of Cao-Shi-Zhang (Commun Math Phys 404(1):495-561, 2023) and the interlacing method of Forman and VandenBoom (Localization and Cantor spectrum for quasiperiodic discrete Schrodinger operators with asymmetric, smooth, cosine-like sampling functions. arXiv:2107.05461, 2021) to handle asymmetric Rellich functions with collapsed gaps.

引用

页数：84

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