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Rare-region effects and dynamics near the many-body localization transition

Author(s): Agarwal, Kartiek; Altman, Ehud; Demler, Eugene; Gopalakrishnan, Sarang; Huse, David A; et al

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Abstract: 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.
Publication Date: 12-Jan-2017
Electronic Publication Date: Jul-2017
Citation: Agarwal, Kartiek, Altman, Ehud, Demler, Eugene, Gopalakrishnan, Sarang, Huse, David A, Knap, Michael. (2017). Rare-region effects and dynamics near the many-body localization transition. Annalen der Physik, 529 (7), 1600326 - 1600326. doi:10.1002/andp.201600326
DOI: doi:10.1002/andp.201600326
ISSN: 0003-3804
Type of Material: Journal Article
Journal/Proceeding Title: Annalen der Physik
Version: Author's manuscript

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