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Density correlations and transport in models of many‐body localization

Journal Article · · Annalen der Physik (Leipzig)
 [1];  [2];  [3];  [4]
  1. Jožef Stefan Institute SI‐1000 Ljubljana Slovenia, Faculty of Mathematics and Physics University of Ljubljana SI‐1000 Ljubljana Slovenia
  2. Institute of Physics University of Silesia 40‐007 Katowice Poland
  3. Institute of Physics HR‐1000 Zagreb Croatia
  4. Department of Physics and Astronomy The University of Tennessee Knoxville Tennessee 37996 USA, Materials Science and Technology Division Oak Ridge National Laboratory Oak Ridge Tennessee 37831 USA

We present a review of recent theoretical results concerning the many‐body localization (MBL) phenomenon, with the emphasis on dynamical density correlations and transport quantities. They are shown to be closely related, providing a comprehensive description of the ergodic‐to‐nonergodic transition, consistent with experimental findings. While the focus is set mostly on the one‐dimensional model of interacting spinless fermions, we also present evidence for the absence of full MBL in the one‐dimensional Hubbard model and for the density‐wave decay induced by the inter‐chain coupling. image

Sponsoring Organization:
USDOE
OSTI ID:
1401900
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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