Absence of many-body mobility edges
De Roeck, Wojciech; Huveneers, François; Müller, Markus; Schiulaz, Mauro (2016), Absence of many-body mobility edges, Physical Review B : Condensed matter and materials physics, 93. 10.1103/PhysRevB.93.014203
TypeArticle accepté pour publication ou publié
Journal namePhysical Review B : Condensed matter and materials physics
MetadataShow full item record
Author(s)De Roeck, Wojciech
Instituut voor Levende Talen (ILT) - Katholieke Universiteit Leuven (KUL) - Dekenstraat 6 - Leuven, België [ILT - KATHOLIEKE UNIVERSITEIT LEUVEN (KUL) - BELGIQUE]
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)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 are 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.
Subjects / KeywordsMany-body localization
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