Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 345, Issue 2, Pages 659-673Publisher
SPRINGER
DOI: 10.1007/s00220-015-2474-x
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Funding
- Isaac Newton Institute for Mathematical Sciences, Cambridge
- AMS-Simons Travel Grant
- NSF [DMS-1401204]
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We consider isotropic XY spin chains whose magnetic potentials are quasiperiodic and the effective one-particle Hamiltonians have absolutely continuous spectra. For a wide class of such XY spin chains, we obtain lower bounds on their Lieb-Robinson velocities b in terms of group velocities of their effective Hamiltonians: b >= ess sup([0,1]) 2/pi dE/dN. where E is considered as a function of the integrated density of states.
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