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Strong-randomness renormalization groups

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arxiv 2304.08572 v1 pith:JF3SG2GN submitted 2023-04-17 cond-mat.stat-mech cond-mat.dis-nn

David A. Huse This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.dis-nn
keywords renormalizationgroupsstrong-randomnessapplicationapproacharticlebookbrief
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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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  1. Superspin Renormalization and Slow Relaxation in Random Spin Systems

    cond-mat.dis-nn 2025-02 conditional novelty 7.0 of 10

    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.

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