Journal
ANNALEN DER PHYSIK
Volume 529, Issue 7, Pages -Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/andp.201600326
Keywords
localization physics; Griffiths effects; slow dynamical phenomena
Categories
Funding
- DOEBES Grant [DE-SC0002140]
- ERC
- Harvard-MIT CUA
- NSF [DMR-1308435]
- AFOSR Quantum Simulation MURI
- ARO MURI Qusim program
- AFOSR MURI Photonic Quantum Matter
- Technical University of Munich - Institute for Advanced Study - German Excellence Initiative
- European Union FP7 [291763]
- DFG [KN 1254/1-1]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1308435] Funding Source: National Science Foundation
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The low-frequency response of systems near the many-body localization phase transition, on either side of the transition, is dominated by contributions from rare regions that are locally in the other phase, i.e., rare localized regions in a system that is typically thermal, or rare thermal regions in a system that is typically localized. Rare localized regions affect the properties of the thermal phase, especially in one dimension, by acting as bottlenecks for transport and the growth of entanglement, whereas rare thermal regions in the localized phase act as local baths and dominate the low-frequency response of the MBL phase. We review recent progress in understanding these rare-region effects, and discuss some of the open questions associated with them: in particular, whether and in what circumstances a single rare thermal region can destabilize the many-body localized phase.
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