Density correlations and transport in models of many-body localization
  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. 
P. Prelov\v{s}ek, M. Mierzejewski, O. Bari\v{s}i\'c, J. Herbrych
cond-mat.str-el