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Many-Body Delocalization as a Quantum Avalanche

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Date
2018-10
Dewey
Sciences connexes (physique, astrophysique)
Sujet
many-body localization
Journal issue
Physical Review Letters
Volume
121
Number
14
Publication date
10-2018
Publisher
American Physical Society
DOI
http://dx.doi.org/10.1103/PhysRevLett.121.140601
URI
https://basepub.dauphine.fr/handle/123456789/19391
Collections
  • CEREMADE : Publications
Metadata
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Author
Thiery, Thimothée
5 Laboratoire de Physique Théorique de l'ENS [LPTENS]
Huveneers, François
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Müller, Markus
De Roeck, Wojciech
265706 Institut für Theoretische Physik
Type
Article accepté pour publication ou publié
Abstract (EN)
We propose a multiscale diagonalization scheme to study disordered one-dimensional chains, in particular, the transition between many-body localization (MBL) and the ergodic phase, expected to be governed by resonant spots. Our scheme focuses on the dichotomy of MBL versus validity of the eigenstate thermalization hypothesis. We show that a few natural assumptions imply that the system is localized with probability one at criticality. On the ergodic side, delocalization is induced by a quantum avalanche seeded by large ergodic spots, whose size diverges at the transition. On the MBL side, the typical localization length tends to the inverse of the maximal entropy density at the transition, but there is a divergent length scale related to the response to an inclusion of large ergodic spots. A mean-field approximation analytically illustrates these results and predicts a power-law distribution for thermal inclusions at criticality.

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