Many-body localization in one dimension as a dynamical renormalization group fixed point.

  title={Many-body localization in one dimension as a dynamical renormalization group fixed point.},
  author={Ronen Vosk and Ehud Altman},
  journal={Physical review letters},
  volume={110 6},
We formulate a dynamical real space renormalization group (RG) approach to describe the time evolution of a random spin-1/2 chain, or interacting fermions, initialized in a state with fixed particle positions. Within this approach we identify a many-body localized state of the chain as a dynamical infinite randomness fixed point. Near this fixed point our method becomes asymptotically exact, allowing analytic calculation of time dependent quantities. In particular, we explain the striking… 

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