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Analytically Solvable Renormalization Group for the Many-Body Localization Transition

Analytically Solvable Renormalization Group for the Many-Body Localization Transition

We introduce a simple, exactly solvable strong-randomness renormalization group (RG) model for the many-body localization (MBL) transition in one dimension. Our approach relies on a family of RG flows parametrized by the asymmetry between thermal and localized phases. We identify the physical MBL transition in the limit of maximal asymmetry, …