Many-body localization for the random XXZ spin chain in fixed energy intervals

Abstract

It is shown that the infinite random Heisenberg XXZ spin-$\frac{1}{2}$ chain exhibits slow propagation of information (logarithmic light cone), a key signature of many-body localization (MBL), in any fixed energy interval at the bottom of the spectrum. The relevant parameter regime, which covers both weak interaction and strong disorder, is determined solely by the energy interval.

arXiv comment18 pages, no figures