[Introduction au groupe de renormalisation pour fort désordre et ses consequences pour la transition superfluide–isolant]
Cette brève revue introduit la méthode et lʼapplication du groupe de renormalisation dans lʼespace réel à des systèmes quantiques fortement désordonnés. Lʼaccent est mis sur les récentes applications du groupe de renormalisation à désordre fort à la physique des systèmes de bosons désordonnés et à la transition superfluide–isolant en une dimension. Le fait quʼil y ait aussi une théorie bien comprise pour un désordre faible pour ce problème nous permet dʼillustrer quels aspects de la physique sont modifiés lorsque le désordre est fort. En particulier, lʼanalyse RG du désordre fort suggère que les transitions à faible et fort désordres appartiennent à des classes distinctes dʼuniversalité, mais cette question reste débattue, et nʼest pas complètement résolue à lʼheure actuelle. Dʼautres applications du groupe de renormalisation à fort désordre à des systèmes de Bose de dimension plus élevées et à des bosons couplés à de la dissipation sont aussi brièvement évoqués.
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.
Mots-clés : Transition superfluide–isolant, Désordre fort, Groupe de renormalisation, Hasard, Bosons
Gil Refael 1 ; Ehud Altman 2, 3
@article{CRPHYS_2013__14_8_725_0,
author = {Gil Refael and Ehud Altman},
title = {Strong disorder renormalization group primer and the superfluid{\textendash}insulator transition},
journal = {Comptes Rendus. Physique},
pages = {725--739},
publisher = {Elsevier},
volume = {14},
number = {8},
year = {2013},
doi = {10.1016/j.crhy.2013.09.005},
language = {en},
}
Gil Refael; Ehud Altman. Strong disorder renormalization group primer and the superfluid–insulator transition. Comptes Rendus. Physique, Disordered systems / Systèmes désordonnés, Volume 14 (2013) no. 8, pp. 725-739. doi : 10.1016/j.crhy.2013.09.005. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2013.09.005/
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