Non-perturbative localization for quasi-periodic Jacobi block matrices

Autor:	Han, Rui, Schlag, Wilhelm
Rok vydání:	2023
Předmět:	Mathematical Physics Mathematics - Dynamical Systems Mathematics - Spectral Theory Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We prove non-perturbative Anderson localization for quasi-periodic Jacobi block matrix operators assuming non-vanishing of all Lyapunov exponents. The base dynamics on tori $\mathbb{T}^b$ is assumed to be a Diophantine rotation. Results on arithmetic localization are obtained for $b=1$, and applications to the skew shift, stacked graphene, XY spin chains, and coupled Harper models are discussed. Comment: 56 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.03423 Zobrazit plný text záznamu View this record from Arxiv