Localization for random block operators related to the XY spin chain
Mathematical Physics
2018-01-10 v2 math.MP
Abstract
We study a class of random block operators which appear as effective one-particle Hamiltonians for the anisotropic XY quantum spin chain in an exterior magnetic field given by an array of i.i.d. random variables. For arbitrary non-trivial single-site distribution of the magnetic field, we prove dynamical localization of these operators at non-zero energy.
Cite
@article{arxiv.1308.0708,
title = {Localization for random block operators related to the XY spin chain},
author = {Jacob Chapman and Günter Stolz},
journal= {arXiv preprint arXiv:1308.0708},
year = {2018}
}
Comments
27 pages, to appear in Annales Poincar\'e, new Theorem 7.2 added in final version