Many‐body localization in incommensurate models with a mobility edge

@article{Deng2016ManybodyLI,
  title={Many‐body localization in incommensurate models with a mobility edge},
  author={Dong-Ling Deng and Sriram Ganeshan and Xiaopeng Li and Ranjan Modak and Subroto Mukerjee and Jedediah H. Pixley},
  journal={Annalen der Physik},
  year={2016},
  volume={529}
}
We review the physics of many‐body localization in models with incommensurate potentials. In particular, we consider one‐dimensional quasiperiodic models with single‐particle mobility edges. A conventional perspective suggests that delocalized states act as a thermalizing bath for the localized states in the presence of of interactions. However, contrary to this intuition there is evidence that such systems can display non‐ergodicity. This is in part due to the fact that the delocalized states… 

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