Localization for random block operators related to the XY spin chain
Autor: | Chapman, Jacob, Stolz, Günter |
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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 |
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