Localization for random block operators related to the XY spin chain

Autor: Chapman, Jacob, Stolz, Günter
Rok vydání: 2013
Předmět:
Zdroj: Ann. Henri Poincar\'e 16 (2015), no. 2, 405-435
Druh dokumentu: Working Paper
DOI: 10.1007/s00023-014-0328-2
Popis: 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.
Comment: 27 pages, to appear in Annales Poincar\'e, new Theorem 7.2 added in final version
Databáze: arXiv