Non-perturbative localization for quasi-periodic Jacobi block matrices
Mathematical Physics
2023-09-08 v1 Dynamical Systems
math.MP
Spectral Theory
Quantum Physics
Abstract
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 is assumed to be a Diophantine rotation. Results on arithmetic localization are obtained for , and applications to the skew shift, stacked graphene, XY spin chains, and coupled Harper models are discussed.
Cite
@article{arxiv.2309.03423,
title = {Non-perturbative localization for quasi-periodic Jacobi block matrices},
author = {Rui Han and Wilhelm Schlag},
journal= {arXiv preprint arXiv:2309.03423},
year = {2023}
}
Comments
56 pages