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

Agarwal, Kartiek; Altman, Ehud; Demler, Eugene; Gopalakrishnan, Sarang; Huse, David A.; Knap, Michael

doi:10.1002/andp.201600326

Title: Rare‐region effects and dynamics near the many‐body localization transition

Journal Article · Thu Jan 12 04:00:00 UTC 2017 · Annalen der Physik (Leipzig)

DOI: https://doi.org/10.1002/andp.201600326 · OSTI ID:1401744

Agarwal, Kartiek ^[1]; Altman, Ehud ^[2]; Demler, Eugene ^[3]; Gopalakrishnan, Sarang ^[4]; Huse, David A. ^[5]; Knap, Michael ^[6]

Department of Electrical Engineering Princeton University Princeton NJ 08544 USA
Department of Physics University of California Berkeley CA 94720 USA
Department of Physics Harvard University Cambridge MA 02138 USA
Department of Engineering Science and Physics CUNY College of Staten Island Staten Island NY 10314 USA
Physics Department Princeton University Princeton NJ 08544 USA
Department of Physics, Walter Schottky Institute, and Institute for Advanced Study Technical University of Munich 85748 Garching Germany

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. image

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0002140

OSTI ID:: 1401744

Journal Information:: Annalen der Physik (Leipzig), Journal Name: Annalen der Physik (Leipzig) Journal Issue: 7 Vol. 529; ISSN 0003-3804

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: Germany

Language:: English

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