Random spin chains with XX+YY interactions show spin survival probability decaying slower than any power law, approximately as 1/log^2(t), captured by a new superspin RSRG-X formalism.
Strong-randomness renormalization groups
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abstract
This is a very brief review article, written for a book (in preparation) in memory of Michael E. Fisher and to celebrate 50+ years since the Wilson-Fisher renormalization group. Strong-randomness renormalization groups were first developed to treat various quantum critical ground states, especially in one-dimensional systems. After briefly reviewing some of the earlier work with these methods, the recent application of this approach to the many-body localization (MBL) phase transition is reviewed.
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Superspin Renormalization and Slow Relaxation in Random Spin Systems
Random spin chains with XX+YY interactions show spin survival probability decaying slower than any power law, approximately as 1/log^2(t), captured by a new superspin RSRG-X formalism.