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Title:
Reducibility, localization, and quasiperiodic XY spin chains
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Abstract:
We show that reducibility of quasiperiodic Schrodinger cocycles (i. e. existence of Bloch wave solutions) implies Anderson localization for the dual model (joint work with Svetlana Jitomirskaya). The corollaries include strong phase-averaged ballistic transport bound in the reducibility regime and a lower bound on Lieb-Robinson velocity for quasiperiodic XY spin chains.
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