Journal
ANNALEN DER PHYSIK
Volume 529, Issue 7, Pages -Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/andp.201600362
Keywords
many-body localization; charge and density dynamics; transport properties
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Funding
- Slovenian Research Agency [P1-0044]
- Polish National Science Centre [2015/19/B/ST2/02856]
- Croatian Science Foundation [IP-2016-06-7258]
- QuantiXLie Center of Excellence
- U.S. Department of Energy, Office of Basic Energy Sciences, Materials Science and Engineering Division
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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.
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