1308.0708 (Jacob Chapman et al.)

Localization for random block operators related to the XY spin chain    [PDF]

Jacob Chapman, Günter Stolz

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.

View original: http://arxiv.org/abs/1308.0708