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Cao, Hongyi; Shi, Yunfeng; Zhang, Zhifei
Communications in mathematical physics, 2024/8, Letnik: 405, Številka: 8Journal Article
In this paper, we establish the Anderson localization, strong dynamical localization and the ( 1 2 - ) -Hölder continuity of the integrated density of states (IDS) for some multi-dimensional discrete quasi-periodic (QP) Schrödinger 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 Schrödinger operators with asymmetric, smooth, cosine-like sampling functions. arXiv:2107.05461 , 2021) to handle asymmetric Rellich functions with collapsed gaps .
