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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

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AbsenceMBEdges.pdf (649.4Kb)
Type
Article accepté pour publication ou publié
Date
2016
Journal name
Physical Review B : Condensed matter and materials physics
Volume
93
Publication identifier
10.1103/PhysRevB.93.014203
Metadata
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Author(s)
De Roeck, Wojciech
Instituut voor Levende Talen (ILT) - Katholieke Universiteit Leuven (KUL) - Dekenstraat 6 - Leuven, België [ILT - KATHOLIEKE UNIVERSITEIT LEUVEN (KUL) - BELGIQUE]
Huveneers, François
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Müller, Markus

Schiulaz, Mauro
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 / Keywords
Many-body localization

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