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Strong disorder renormalization group primer and the superfluid–insulator transition

Refael, Gil and Altman, Ehud (2013) Strong disorder renormalization group primer and the superfluid–insulator transition. Comptes Rendus Physique, 14 (8). pp. 725-739. ISSN 1631-0705. doi:10.1016/j.crhy.2013.09.005.

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This brief review introduces the method and application of real-space renormalization group to strongly disordered quantum systems. The focus is on recent applications of the strong disorder renormalization group to the physics of disordered-boson systems and the superfluid–insulator transition in one dimension. The fact that there is also a well-understood weak disorder theory for this problem allows us to illustrate what aspects of the physics change at strong disorder. In particular, the strong disorder RG analysis suggests that the transitions at weak disorder and strong disorder belong to distinct universality classes, but this question remains under debate and is not fully resolved to date. Further applications of the strong disorder renormalization group to higher-dimensional Bose systems and to bosons coupled to dissipation are also briefly reviewed.

Item Type:Article
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Alternate Title:Introduction au groupe de renormalisation pour fort désordre et ses consequences pour la transition superfluide–isolant
Additional Information:© 2013 Published by Elsevier Masson SAS on behalf of Académie des sciences. Available online 18 October 2013. Much of the work reviewed here was carried out together with many collaborators, without whom none of it would have come to pass. We would like to especially acknowledge Daniel S. Fisher, Anatoli Polkovnikov, Yariv Kafri, Victor Gurarie, Joel Moore, John Chalker, David Pekker, Shankar Iyer, Susanne Pielawa, and Ronen Vosk. In addition, we would like to express our gratitude for the many discussions we had with Thierry Giamarchi, Pierre le Doussal, David Huse, Thomas Vojta, and Steve Girvin, Nikolay Prokof’ev, Boris Svistunov and Lode Pollet. We are grateful to the Packard Foundation, as well as to the NSF, ISF, the Minerva foundation, the Miller Institute of Science at UC Berkeley, and the Moore Foundation for support through the Caltech IQIM.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Packard FoundationUNSPECIFIED
Minerva FoundationUNSPECIFIED
UC Berkeley Miller Institute of ScienceUNSPECIFIED
Moore FoundationUNSPECIFIED
Subject Keywords:Superfluid–insulator transition; Strong disorder; Renormalization group; Randomness; Bosons; Transition superfluide–isolant; Désordre fort; Groupe de renormalisation; Hasard; Bosons
Issue or Number:8
Record Number:CaltechAUTHORS:20140228-102011963
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Official Citation:Gil Refael, Ehud Altman, Strong disorder renormalization group primer and the superfluid–insulator transition, Comptes Rendus Physique, Volume 14, Issue 8, October 2013, Pages 725-739, ISSN 1631-0705, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:44059
Deposited By: Ruth Sustaita
Deposited On:28 Feb 2014 19:17
Last Modified:10 Nov 2021 16:47

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