EPJ B Colloquium - The strong disorder renormalization group (SDRG) method for random systems

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Published on 26 November 2018

The strong disorder renormalization group (SDRG) approach has been developed to study the low-energy excitations and spatial and temporal correlations of random systems. Since 2005 it has been extended in many new directions and beyond its initial scope. In this EPJ B Colloquium Ferenc Iglói and Cécile Monthus give an overview of the many recent developments.

In the field of quantum disordered models, recent progress concern infinite disorder fixed points for short-ranged models in higher dimensions d > 1, strong disorder fixed points for long-ranged models, scaling of the entanglement entropy in critical ground-states and after quantum quenches, the RSRG-X procedure to construct the whole set excited stated and the RSRG-t procedure for the unitary dynamics in many-body-localized phases, the Floquet dynamics of periodically driven chains, the dissipative effects induced by the coupling to external baths, and Anderson Localization models.

In the field of classical disordered models, new applications include the contact process for epidemic spreading, the strong disorder renormalization procedure for general master equations, the localization properties of random elastic networks, and the synchronization of interacting non-linear dissipative oscillators. Application of the method for aperiodic (or deterministic) disorder is also mentioned.