On Polynomial Lieb–Robinson Bounds for the XY Chain in a Decaying Random Field

We consider the isotropic XY quantum spin chain in a random external field in the z direction, with single site distributions given by i.i.d. random variables times the critical decaying envelope j−1/2. Our motivation is the study of many-body localization. We investigate transport properties in terms of polynomial Lieb–Robinson (PLR) bounds. We prove a zero-velocity PLR bound for large disorder strength λ and for small λ we show a partial converse, which suggests the existence of a transition to non-trivial transport in the model.


Published in:
Journal of Statistical Physics, 164, 3, 667-679
Year:
Aug 01 2016
ISSN:
0022-4715
1572-9613
Laboratories:




 Record created 2020-10-01, last modified 2020-10-29


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