Absence of many-body mobility edges
Absence of many-body mobility edges
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DOI：
10.1103/physrevb.93.014203
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发表时间：
2016-01-22
影响因子：
3.7
通讯作者：
Schiulaz, Mauro
中科院分区：
文献类型：
--
作者：
De Roeck, Wojciech;Huveneers, Francois;Schiulaz, Mauro
Localization transitions as a function of temperature require a many-body mobility edge in energy, separating localized from ergodic states. We argue that this scenario is inconsistent because local fluctuations into the ergodic phase within the supposedly localized phase can serve as mobile bubbles that induce global delocalization. Such fluctuations inevitably appear with a low but finite density anywhere in any typical state. We conclude that the only possibility for many-body localization to occur is lattice models that are localized at all energies. Building on a close analogy with a model of assisted two-particle hopping, where interactions induce delocalization, we argue why hot bubbles are mobile and do not localize upon diluting their energy. Numerical tests of our scenario show that previously reported mobility edges cannot be distinguished from finite-size effects.
