Strong Disorder RG approach - a short review of recent developments

C\'ecile Monthus; Ferenc Igl\'oi

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Strong Disorder RG approach - a short review of recent developments

Ferenc Iglói, Cécile Monthus

Disordered Systems and Neural Networks · Submitted 20 Jun 2018

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The Strong Disorder RG approach for random systems has been extended in many new directions since our previous review of 2005 [Phys. Rep. 412, 277].

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The Strong Disorder RG approach for random systems has been extended in many new directions since our previous review of 2005 [Phys. Rep. 412, 277]. The aim of the present colloquium paper is thus to give an overview of these various 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.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The Strong Disorder RG approach for random systems has been extended in many new directions since our previous review of 2005 [Phys. Rep. 412, 277].	background 1.00	0.09	0.05	asserted 1.00
s1	The aim of the present colloquium paper is thus to give an overview of these various recent developments.	contribution 0.92	0.14	0.07	asserted 0.89
s2	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.	contribution 0.76	0.07	0.09	asserted 1.00
s3	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.	contribution 0.88	0.09	0.04	asserted 0.99

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Original abstract

The Strong Disorder RG approach for random systems has been extended in many new directions since our previous review of 2005 [Phys. Rep. 412, 277]. The aim of the present colloquium paper is thus to give an overview of these various 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.

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8 arXiv papers cite this in 10 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

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We provide numerical evidence for this behavior by using the Strong Disorder Renormalization Group (SDRG) method [ref] (see also [ref] ).

Unusual area-law violation in random inhomogeneous systems · Introduction · 1.00

Cites it as background 4 papers

As a result, several phenomenological renormalization group (RG) approaches have been proposed [ref] , based on various physical assumptions on thermalization and random matrix theory.

Multiscale entanglement clusters at the many-body localization phase transition · Introduction · 0.91
The corresponding Infinite Disorder character of the transition is reviewed in [ref] .

Topological phase transitions in random Kitaev $\alpha$-chains · Example $H=H_0+H_1$ · 0.80
We do not intend to provide a full review of SDRG studies of the TFIM (see Refs. [ref] for a guide to the SDRG literature on this and related systems) but would like to mention two approaches to modified SDRG schemes which drop a number of bonds produced by spin decimations and have strongly influenced this work.

Random geometry at an infinite-randomness fixed point · Two dimensions · 0.99

What it cites · 19 sentences without a confident label

Cites as background 2 papers

In the presence of interactions, the issue of Many-Body-Localization in isolated random quantum spin chains has attracted a lot of attention recently, as reviewed in [ref] .

Many-body localization, thermalization, and entanglement · Localized and Many-Body-Localized Phases of quantum spin chains · 0.94
The properties of the Griffiths phases can be interpreted in terms of rare regions, as reviewed in [ref] .

Phases and phase transitions in disordered quantum systems · Griffiths phases - strong disorder fixed points · 0.91

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