Eigenstate phase transitions and the emergence of universal dynamics in   highly excited states
  We review recent advances in understanding the universal scaling properties of non-equilibrium phase transitions in non-ergodic disordered systems. We discuss dynamical critical points (also known as eigenstate phase transitions) between different many-body localized (MBL) phases, and between MBL and thermal phases. 
S. A. Parameswaran, Andrew C. Potter and Romain Vasseur
cond-mat.dis-nn cond-mat.stat-mech cond-mat.str-el