Strong Disorder Renorm Group

Disordered systems can be sometimes accurately treated by real-space strong disorder RG, both for the ground and excited states. The general strategy is a sequential elimination of "fast" degrees of freedom. The method becomes asymptotically exact if disorder becomes stronger with renormalization, flowing towards infinite randomness.

RG can be applied to specific microscopic models ^[1], or to effective models of MBL ^[2], attempting to capture the MBL-Thermalization transition.

References

1. Hilbert-Glass Transition: New Universality of Temperature-Tuned Many-Body Dynamical Quantum Criticality David Pekker, Gil Refael, Ehud Altman, Eugene Demler, and Vadim Oganesyan Phys. Rev. X 4, 011052 – Published 31 March 2014
2. Theory of the Many-Body Localization Transition in One-Dimensional Systems Ronen Vosk, David A. Huse, and Ehud Altman Phys. Rev. X 5, 031032 – Published 14 September 2015